{"id":64,"date":"2020-12-01T15:09:48","date_gmt":"2020-12-01T20:09:48","guid":{"rendered":"https:\/\/blog.uvm.edu\/ijdavis\/?page_id=64"},"modified":"2026-04-28T19:38:34","modified_gmt":"2026-04-28T19:38:34","slug":"publications","status":"publish","type":"page","link":"https:\/\/site.uvm.edu\/jxyang\/?page_id=64","title":{"rendered":"Publications"},"content":{"rendered":"\r\n

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\r\nMonographs<\/strong><\/summary>\r\n
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  1. B. Yang and J. Yang, Rogue Waves in Integrable Systems<\/a><\/em> (Springer, 2024)<\/li>\r\n
  2. D.N. Christodoulides and J. Yang (Eds), Parity-time Symmetry and Its Applications <\/a><\/em>(Springer, 2018).<\/li>\r\n\r\n\r\n\r\n
  3. J. Yang, Nonlinear Waves in Integrable and Nonintegrable Systems <\/em><\/a>(SIAM, Philadelphia, 2010). Erratum<\/a><\/li>\r\n\r\n\r\n\r\n
  4. M. Skorobogatiy and J. Yang, Fundamentals of Photonic Crystal Guiding<\/em><\/a> (Cambridge University Press, Cambridge, UK, 2009). Erratum<\/a><\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/details><\/div>\r\n\r\n\r\n\r\n
    \r\nBook chapters<\/strong><\/summary>\r\n
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      \r\n
    1. J. Yang, “Construction of non-PT-symmetric complex potentials with all-real spectra”<\/a>, book chapter in “Parity-time Symmetry and Its Applications”(D. Christodoulides and J. Yang (eds.), Springer 2018), pp. 513-534 (see also arXiv:1812.09765<\/a> [math-ph]).<\/li>\r\n\r\n\r\n\r\n
    2. J. Yang, “Conditions and stability analysis for saddle-node bifurcations of solitary waves in generalized nonlinear Schroedinger equations”,<\/a> pp. 639-655 in book “Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations”, B.A. Malomed, ed. (Springer, Berlin, 2013), DOI: 10.1007\/10091_2012_3.<\/li>\r\n\r\n\r\n\r\n
    3. J. Yang, X. Wang, J. Wang and Z. Chen, “Light localization by defects in optically induced photonic structures”<\/a>, chapter in book “Nonlinearities in Periodic Structures and Metamaterials”, C.Denz, S.Flachand Y.S.Kivshar, ed. (Springer, Berlin, 2009), pp. 127-143.<\/li>\r\n\r\n\r\n\r\n
    4. Z. Chen and J. Yang, “Optically-induced reconfigurable photonic lattices for linear and nonlinear control of light”,<\/a> in book “Nonlinear Optics and Applications”, H.A. Abdeldayem and D.O. Frazier, ed. (Research Signpost, Kerala, India, 2007), Chapter 5, pp. 103-150.<\/li>\r\n\r\n\r\n\r\n
    5. Z. Shi and J. Yang, “New solitary wave structures in two-dimensional periodic media”<\/a>, chapter in “Frontiers of Applied Mathematics”, pp 211-226, editors, D. Hsieh, et al, World Scientific, Singapore, 2007.<\/li>\r\n\r\n\r\n\r\n
    6. J. Yang and X. Chen, “Linearization operators of solitons in the derivative nonlinear Schroedinger hierarchy”,<\/a> chapter in “Trends in Soliton Research”, pp 15-27, Editor L.V. Chen, Nova Publishers, 2006.<\/li>\r\n\r\n\r\n\r\n
    7. J. Yang, “A tail-matching method for the linear stability of multi-vector-soliton bound states,”<\/a> chapter in AMS book series “Contemporary Mathematics” 379, 63-82 (2005).<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/details><\/div>\r\n\r\n\r\n\r\n
      \r\nRefereed journal publications<\/strong><\/summary>\r\n
      \r\n
        \r\n
      1. B. Yang and J. Yang, “Rogue-wave and lump patterns associated with the third Painleve equation<\/a>“, arXiv:2604.23275 [nlin.SI] (2026).\u00a0<\/li>\r\n
      2. N.J. Ossi, B. Prinari and J. Yang, “Integrable perturbation theory for dark solitons of the defocusing nonlinear Schrodinger equation<\/a>“, J. Nonlinear Waves 2, e10 (2026) (see also\u00a0 arXiv:2512.20585<\/a> [nlin.SI]).\u00a0<\/li>\r\n
      3. B. Yang and J. Yang, “Spatially-bounded rogue waves in the Davey-Stewartson I equation<\/a>“, J. Nonlinear Waves 2, e3 (2026) (see also arXiv:2511.16820<\/a> [nlin.SI]).\u00a0<\/li>\r\n
      4. B. Yang and J. Yang, “Triangular rogue clusters associated with multiple roots of Adler–Moser polynomials in integrable systems<\/a>“, Physica D 483, 134921 (2025) (see also arXiv:2504.01777<\/a> [nlin.SI]).\u00a0<\/li>\r\n
      5. B. Yang and J. Yang, “Concentric-ring patterns of higher-order lumps in the Kadomtsev\u2013Petviashvili I equation<\/a>“, Stud. Appl. Math. 154, e70000 (2025) (see also arXiv:2411.17364<\/a> [nlin.SI]).\u00a0<\/li>\r\n
      6. B. Yang and J. Yang, “Rogue curves in the Davey-Stewartson I equation<\/a>“, Chaos<\/em> 34, 073148 (2024) (see also arXiv:2403.18770<\/a> [nlin.SI]).<\/li>\r\n\r\n\r\n\r\n
      7. B. Yang and J. Yang, “Rogue wave patterns associated with Adler-Moser polynomials in the nonlinear Schrodinger equation<\/a>“, Appl. Math. Lett. 148, 108871 (2024) (see also arXiv:2309.01554<\/a> [nlin.SI]).<\/li>\r\n\r\n\r\n\r\n
      8. J. Zhan, D. Li, D. Bongiovanni, Y. Xiang, S. Chen, Y. Zhang, L. Tang, D. Song, J. Yang, R. Morandotti and Z. Chen, “Nonlinear plasmonic nanosuspensions for tunable hollow beam generation<\/a>“, APL Photon. 8, 076102 (2023).<\/li>\r\n\r\n\r\n\r\n
      9. B. Yang and J. Yang, “Partial-rogue waves that come from nowhere but leave with a trace in the Sasa-Satsuma equation<\/a>“, Phys. Lett. A 458, 128573 (2023) (see also arXiv:2210.03414<\/a> [nlin.SI]).<\/li>\r\n\r\n\r\n\r\n
      10. B. Yang and J. Yang, “Rogue wave patterns associated with Okamoto polynomial hierarchies<\/a>“, Stud. Appl. Math. 151, 60 (2023) (see also arXiv:2208.03214<\/a> [nlin.SI]).<\/li>\r\n\r\n\r\n\r\n
      11. B. Yang and J. Yang, “Overview of the Kadomtsev-Petviashvili-hierarchy reduction method for solitons<\/a>“, Partial Differential Equations in Applied Mathematics 5, 100346 (2022).<\/li>\r\n\r\n\r\n\r\n
      12. B. Yang and J. Yang, “Pattern transformation in higher-order lumps of the Kadomtsev-Petviashvili I equation<\/a>“, J. Nonl. Sci. 32, 52 (2022) (see also arXiv:2110.00953<\/a> [nlin.SI]).<\/li>\r\n\r\n\r\n\r\n
      13. B. Yang and J. Yang, “Rogue waves in (2+1)-dimensional three-wave resonant interactions<\/a>“, Physica D 432, 133160 (2022) (see also arXiv:2111.11333<\/a> [nlin.SI]).<\/li>\r\n\r\n\r\n\r\n
      14. B. Yang and J. Yang, “Universal rogue wave patterns associated with the Yablonskii-Vorob’ev polynomial hierarchy<\/a>“, Physica D 425, 132958 (2021) (see also arXiv:2103.11223<\/a> [nlin.SI]).<\/li>\r\n\r\n\r\n\r\n
      15. J. Yang, “Analytical construction of soliton families in one- and two-dimensional nonlinear Schrodinger equations with non-parity-time-symmetric complex potentials<\/a>“, Stud. Appl. Math. 147, 4-31 (2021) (see also arXiv:2102.03663<\/a> [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      16. B. Yang and J. Yang, “General rogue waves in the three-wave resonant interaction systems”<\/a>, IMA J. Appl. Math. 86, 378-425 (2021) (see also arXiv:2005.10847<\/a> [nlin.SI]).<\/li>\r\n\r\n\r\n\r\n
      17. B. Yang and J. Yang, “Rogue wave patterns in the nonlinear Schrodinger equation<\/a>“, Physica D 419, 132850 (2021) (see also arXiv:2101.00383<\/a> [nlin.SI]).<\/li>\r\n\r\n\r\n\r\n
      18. M. Guo, S. Xia, N. Wang, D. Song, Z. Chen and J. Yang, “Weakly nonlinear topological gap solitons in Su-Schrieffer-Heeger photonic lattices<\/a>“, Opt. Lett. 45, 6466-6469 (2020) (see also arXiv:2011.00311<\/a> [physics.optics]).<\/li>\r\n\r\n\r\n\r\n
      19. B. Yang, J. Chen and J. Yang, “Rogue waves in the generalized derivative nonlinear Schrodinger equations<\/a>“, J.Nonl. Sci. 30, 3027-3056 (2020) (see also arXiv:1912.05589<\/a> [nlin.SI]).<\/li>\r\n\r\n\r\n\r\n
      20. B. Bagchi and J. Yang, “New families of non-parity-time-symmetric complex potentials with all-real spectra”<\/a>, J. Math. Phys. 61, 063506 (2020) (see also arXiv:1908.03758<\/a> [math-ph]).<\/li>\r\n\r\n\r\n\r\n
      21. B. Yang and J. Yang, “On general rogue waves in the parity-time-symmetric nonlinear Schroedinger equation”<\/a>, J. Math. Anal. Appl. 487, 124023 (2020) (see also arXiv:1903.06203<\/a> [nlin.SI]).<\/li>\r\n\r\n\r\n\r\n
      22. B. Yang and J. Yang, “General rogue waves in the Boussinesq equation”<\/a>, J. Phys. Soc. Jpn. 89, 024003 (2020) (see also arXiv:1908.00109<\/a> [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      23. J. Yang, “Symmetry breaking with opposite stability between bifurcated asymmetric solitons in parity-time-symmetric potentials<\/a>“, Opt. Lett. 44, 2641-2644 (2019) [Editors` Pick] (see also arXiv:1903:04953<\/a> [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      24. B. Yang and J. Yang, “Rogue waves in the PT-symmetric nonlinear Schrodinger equation”<\/a>, Lett. Math. Phys. 109, 945-973 (2019)(see also arXiv:1711.05930<\/a> [nlin.SI]).<\/li>\r\n\r\n\r\n\r\n
      25. J. Yang, “General N-solitons and their dynamics in several nonlocal nonlinear Schroedinger equations”<\/a>, Phys. Lett. A 383, 328-337 (2019) (see also arXiv:1712.01181<\/a> [nlin.SI]).<\/li>\r\n\r\n\r\n\r\n
      26. J. Yang, “Physically significant nonlocal nonlinear Schrodinger equation and its soliton solutions”, <\/a>Phys. Rev. E98, 042202 (2018) (see also arXiv:1807.02185<\/a> [nlin.SI]).<\/li>\r\n\r\n\r\n\r\n
      27. B. Yang and J. Yang, “Transformations between nonlocal and local integrable equations”,<\/a> Stud. Appl. Math. 140, 178-201 (2018) (see also arXiv:1705.00332<\/a> [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      28. J. Yang, “Classes of non-parity-time-symmetric optical potentials with exceptional-point-free phase transitions”,<\/a> Opt. Lett. 42, 4067-4070 (2017) (see also arXiv:1707.03953<\/a> [physics.optics]).<\/li>\r\n\r\n\r\n\r\n
      29. S. Nixon, T.R. Akylas and J. Yang, “New aspects of exponential asymptotics in multi-scale nonlinear wave problems”<\/a>, Stud. Appl. Math. 139, 223-247 (2017).<\/li>\r\n\r\n\r\n\r\n
      30. J. Yang, “Nonlinear behaviors in a PDE model for parity-time-symmetric lasers<\/a>“, J. Opt. 19, 054004 (2017).<\/li>\r\n\r\n\r\n\r\n
      31. J. Yang and S. Nixon, “Stability of soliton families in nonlinear Schroedinger equations with non-parity-time-symmetric complex potentials<\/a>“, Phys. Lett. A380, 3803-3809(2016) (see also arXiv:1605.02259<\/a> [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      32. V.V. Konotop, J. Yang and D.A. Zezyulin, “Nonlinear waves in PT-symmetric systems<\/a>“, Rev. Mod. Phys. 88, 035002 (2016) (see also arXiv:1603.06826<\/a> [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      33. S. Nixon and J. Yang, “Nonlinear light behaviors near phase transition in non-parity-time-symmetric complex waveguides<\/a>“, Opt. Lett. 41, 2747-2750 (2016) (see also arXiv:1604.02025<\/a> [physics.optics]).<\/li>\r\n\r\n\r\n\r\n
      34. S. Nixon and J. Yang, “Nonlinear wave dynamics near phase transition in PT-symmetric localized potentials<\/a>“, Physica D 331, 48-57 (2016) (see also arXiv:1506.04445<\/a> [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      35. S. Nixon and J. Yang, “All-real spectra in optical systems with arbitrary gain and loss distributions,”<\/a> Phys. Rev.A 93, 031802(R) (2016) [EDITORS’ SUGGESTION<\/a>]<\/strong>.<\/li>\r\n\r\n\r\n\r\n
      36. J. Yang, “A normal form for Hamiltonian-Hopfbifurcations in nonlinear Schrodinger equations with general external potentials<\/a>“, SIAM J. Appl. Math.76,598-617 (2016) (see also arXiv:1510.00949<\/a> [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      37. S. Nixon and J. Yang, “Bifurcation of soliton families from linear modes in non-PT-symmetric complex potentials<\/a>“, Stud. Appl. Math. 136, 459-483 (2016) (see also arXiv:1509.07057<\/a> [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      38. P. Ni, P. Zhang, X. Qi, J. Yang, Z. Chen, and W. Man, “Light localization and nonlinear beam transmission in specular amorphous photonic lattice<\/a>“, Opt. Express 24<\/strong>, 2420-2426 (2016).<\/li>\r\n\r\n\r\n\r\n
      39. S. Nixon and J. Yang, “Light propagation in periodically modulated complex waveguides<\/a>“, Phys. Rev. A 91, 033807 (2015) (see also arXiv:1412.6113<\/a> [physics.optics]).<\/li>\r\n\r\n\r\n\r\n
      40. J. Yang, “Symmetry breaking of solitons in two-dimensional complex potentials<\/a>“, Phys. Rev. E 91, 023201 (2015) (see also arXiv:1410.3039<\/a> [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      41. J. Yang, “A numerical method for computing time-periodic solutions in dissipative wave systems”<\/a>, Stud. Appl. Math. 134, 420-455 (2015) (see also arXiv:1408.6490<\/a> [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      42. J. Yang, “Symmetry breaking of solitons in one-dimensional parity-time-symmetric optical potentials<\/a>“, Opt. Lett. 39, 5547-5550 (2014) (see also arXiv:1408.0687<\/a> [physics.optics]).<\/li>\r\n\r\n\r\n\r\n
      43. S. Nixon and J. Yang, “Exponentialasymptoticsfor solitons in PT-symmetric periodic potentials”<\/a>, Stud. Appl. Math.133, 373-397 (2014) (see also arXiv:1405.2827 [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      44. Y. Ohta and J. Yang, “General rogue waves in the focusing and defocusing Ablowitz-Ladik equations”<\/a>, J. Phys. A 47, <\/strong>255201 (2014) (this paper is featured on the cover of issue 25<\/a>, June 27).<\/li>\r\n\r\n\r\n\r\n
      45. J. Yang, “Partially PT-symmetric optical potentials with all-real spectra and soliton families in multi-dimensions”,<\/a> Opt. Lett. 39, 1133-1136 (2014) (see also arXiv:1312.3660 [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      46. J. Yang, “Necessity of PT symmetry for soliton families in one-dimensional complex potentials”,<\/a> Phys. Lett. A 378, 367–373 (2014) (see also arXiv:1310.4490 [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      47. J. Yang, “Can parity-time-symmetric potentials support families of non-parity-time-symmetric solitons?”<\/a> Stud. Appl. Math.132, 332–353 (2014) (see also arXiv:1309.1652 [nlin.PS]). Erratum<\/a><\/li>\r\n\r\n\r\n\r\n
      48. S. Nixon, T.R. Akylas and J. Yang, “Exponential asymptoticsfor line solitons in two-dimensional periodic potentials”,<\/a> Stud. Appl. Math. 131, 149-178 (2013) (see also arXiv:1305.0532 [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      49. D.E. Pelinovsky and J. Yang, “On transverse stability of discrete line solitons”,<\/a> Physica D 255, 1–11 (2013) (see also arXiv:1210.0938 [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      50. S. Nixon and J. Yang, “Pyramid diffraction in parity-time-symmetric optical lattices”,<\/a> Opt. Lett. 38, pp. 1933–1935 (2013) (see also arXiv:1303.5028 [physics.optics]). Erratum<\/a><\/li>\r\n\r\n\r\n\r\n
      51. J. Yang, “Stability switching at transcritical bifurcations of solitary waves in generalized nonlinear Schroedinger equations”,<\/a> Phys. Lett. A 377, 866 – 870 (2013) (see also arXiv:1211.0062 [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      52. Y. Ohta and J. Yang, “Dynamics of rogue waves in the Davey-Stewartson II equation”,<\/a> J. Phys. A 46, 105202 (2013) (see also arXiv:1212.0152 [nlin.SI]).<\/li>\r\n\r\n\r\n\r\n
      53. J. Yang, “Stability analysis for pitchfork bifurcations of solitary waves in generalized nonlinear Schroedinger equations”,<\/a> Physica D 244, 50-67 (2013) (see also arXiv:1204.2592 [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      54. S. Nixon, Y. Zhu and J. Yang, “Nonlinear dynamics of wave packets in PT-symmetric optical lattices near the phase transition point”,<\/a> Opt. Lett. 37, 4874-4876 (2012) (see also arXiv:1208.5995 [physics.optics]).<\/li>\r\n\r\n\r\n\r\n
      55. Y. Ohta and J. Yang, “Rogue waves in the Davey-Stewartson-I equation”,<\/a> Phys. Rev. E 86, 036604 (2012).<\/li>\r\n\r\n\r\n\r\n
      56. J. Yang, “Classification of solitary wave bifurcations in generalized nonlinear Schroedinger equations”,<\/a> Stud. Appl. Math. 129, 133-162 (2012) (see also arXiv:1203.5148 [nlin.PS]).<\/li>\r\n\r\n\r\n\r\n
      57. Y. Ohta and J. Yang, “General high-order rogue waves and their dynamics in the nonlinear Schroedinger equation”,<\/a> Proc. Roy. Soc. A. 468, 1716-1740 (2012).<\/li>\r\n\r\n\r\n\r\n
      58. J. Yang, D. Gallardo, A. Miller, and Z. Chen, “Elimination of transverse instability in stripe solitons by one-dimensional lattices”,<\/a> Opt. Lett. 37, 1571-1573 (2012).<\/li>\r\n\r\n\r\n\r\n
      59. J. Yang, “No Stability Switching at Saddle-Node Bifurcations of Solitary Waves in Generalized Nonlinear Schroedinger Equations”,<\/a> Phys. Rev. E 85, 037602 (2012).<\/li>\r\n\r\n\r\n\r\n
      60. G. Hwang, T.R. Akylas and J. Yang, “Solitary waves and their linear stability in nonlinear lattices”,<\/a> Stud. Appl. Math. 128, 275-299 (2012).<\/li>\r\n\r\n\r\n\r\n
      61. S. Nixon, L. Ge and J. Yang, “Stability analysis for solitons in PT-symmetric optical lattices”,<\/a> Phys. Rev. A 85, 023822 (2012).<\/li>\r\n\r\n\r\n\r\n
      62. T.R. Akylas, G. Hwang and J. Yang, “From nonlocal gap solitary waves to bound states in periodic media”,<\/a> Proc. Roy. Soc. A 468, 116-135 (2012).<\/li>\r\n\r\n\r\n\r\n
      63. Y. Ohta, D. Wang and J. Yang, “General N-dark-dark solitons in the coupled nonlinear Schroedinger equations”,<\/a> Stud. Appl. Math. 127, 345-371 (2011).<\/li>\r\n\r\n\r\n\r\n
      64. J. Yang, “Transversely stable soliton trains in photonic lattices”,<\/a> Phys. Rev. A. 84, 033840 (2011).<\/li>\r\n\r\n\r\n\r\n
      65. G. Hwang, T.R. Akylas and J. Yang, “Gap solitons and their linear stability in one-dimensional periodic media”,<\/a> Physica D 240, 1055-1068 (2011).Erratum<\/a><\/li>\r\n\r\n\r\n\r\n
      66. J. Wang, Z. Ye, A. Miller, Y. Hu, C. Lou, P. Zhang, Z. Chen and J. Yang, “Nonlinear beam deflection in photonic lattices with negative defects”,<\/a> Phys. Rev. A. 83, 033836 (2011).<\/li>\r\n\r\n\r\n\r\n
      67. J. Yang, P. Zhang, M. Yoshihara, Y. Hu, and Z. Chen, “Image transmission using stable solitons of arbitrary shapes in photonic lattices”,<\/a> Opt. Lett. 36, 772-774 (2011).<\/li>\r\n\r\n\r\n\r\n
      68. J. Yang, “Fully localized two-dimensional embedded solitons”,<\/a> Phys. Rev. A 82, 053828 (2010).<\/li>\r\n\r\n\r\n\r\n
      69. D. Song, X. Wang, D. Shuldman, J. Wang, L. Tang, C. Lou, J. Xu, J. Yang, and Z. Chen, “Observation of bandgap guidance of optical vortices in a tunable negative defect”,<\/a> Opt. Lett. 35, 2106 (2010).<\/li>\r\n\r\n\r\n\r\n
      70. D. Wang, D. Zhang and J. Yang, “Integrable properties of the general coupled nonlinear Schroedinger equations”,<\/a> J. Math. Phys. 51, 023510 (2010).<\/li>\r\n\r\n\r\n\r\n
      71. Y Hu, C. Lou, P. Zhang, J. Xu, J. Yang, and Z. Chen, “Saddle solitons: A new balance between bi-diffraction and hybrid nonlinearity”,<\/a> Opt. Lett. 34, 3259 (2009) [reprinted in Virtual J. Ultrafast Science, Dec, 2009 (link)<\/a>].<\/li>\r\n\r\n\r\n\r\n
      72. D.J. Kaup and J. Yang, “The inverse scattering transform and squared eigenfunctions for a degenerate 3 x 3 operator”,<\/a> Inverse Problems 25, 105010 (2009).<\/li>\r\n\r\n\r\n\r\n
      73. J. Yang, “Newton-Conjugate-Gradient Methods for Solitary Wave Computations”,<\/a> J. Comp. Phys. 228, 7007-7024 (2009).<\/li>\r\n\r\n\r\n\r\n
      74. Y. Zhu, R. Haberman and J. Yang, “Separatrix map analysis for fractal scatterings in weak interactions of solitary waves”,<\/a> Stud. Appl. Math. 122, 449-483 (2009). Erratum<\/a><\/li>\r\n\r\n\r\n\r\n
      75. J. Wang, J. Yang, T.J. Alexander, and Y.S. Kivshar, “Truncated-Bloch-wave solitons in optical lattices”,<\/a> Phys. Rev. A. 79, 043610 (2009).<\/li>\r\n\r\n\r\n\r\n
      76. J. Yang and D.J. Kaup, “Squared Eigenfunctions for the Sasa-Satsuma Equation”,<\/a> J. Math. Phys. 50, 023504 (2009).<\/li>\r\n\r\n\r\n\r\n
      77. Z. Shi, J. Wang, Z. Chen, and J. Yang, “Linear instability of two-dimensional low-amplitude gap solitons near band edges in periodic media”,<\/a> Phys. Rev. A. 78, 063812 (2008).<\/li>\r\n\r\n\r\n\r\n
      78. J. Yang, “Iteration methods for stability spectra of solitary waves”,<\/a> J. Comp. Phys. 227, 6862-6876 (2008).<\/li>\r\n\r\n\r\n\r\n
      79. Y. Zhu, R. Haberman, and J. Yang, “A universal separatrix map for weak interactions of solitary waves in generalized nonlinear Schroedinger equations”,<\/a> Physica D 237, 2411-2422 (2008).<\/li>\r\n\r\n\r\n\r\n
      80. E.V. Doktorov, J. Wang, and J. Yang, “Perturbation theory for bright spinor Bose–Einstein condensate solitons”,<\/a> Phys. Rev. A. 77, 043617 (2008).<\/li>\r\n\r\n\r\n\r\n
      81. Y. Zhu, R. Haberman, and J. Yang, “A Universal Map for Fractal Structures in Weak Interactions of Solitary Waves”,<\/a> Phys. Rev. Lett. 100, 143901 (2008).<\/li>\r\n\r\n\r\n\r\n
      82. J. Yang and T.I. Lakoba, “Accelerated Imaginary-time Evolution Methods for the Computation of Solitary Waves”,<\/a> Stud. Appl. Math. 120, 265-292 (2008) (arXiv:0711.3434v1 [nlin.PS])<\/li>\r\n\r\n\r\n\r\n
      83. J. Wang and J. Yang, “Families of vortex solitons in periodic media”,<\/a> Phys. Rev. A. 77, 033834 (2008).<\/li>\r\n\r\n\r\n\r\n
      84. X. Wang, Z. Chen, J. Wang and J. Yang, “Observation of in-band lattice solitons”,<\/a> Phys. Rev. Lett. 99, 243901 (2007).<\/li>\r\n\r\n\r\n\r\n
      85. J. Wang, J. Yang and Z. Chen, “Two-dimensional defect modes in optically induced photonic lattices”,<\/a> Phys. Rev. A. 76, 013828 (2007) [reprinted in Virtual J. Nanoscale Sci. Tech. Volume 16, issue 6 (2007)].<\/li>\r\n\r\n\r\n\r\n
      86. T.I. Lakoba and J. Yang, “A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity”,<\/a> J. Comp. Phys. 226, 1668-1692 (2007).<\/li>\r\n\r\n\r\n\r\n
      87. T.I. Lakoba and J. Yang, “A mode elimination technique to improve convergence of iteration methods for finding solitary waves”,<\/a> J. Comp. Phys. 226, 1693-1709 (2007).<\/li>\r\n\r\n\r\n\r\n
      88. C. Lou, X. Wang, J. Xu, Z. Chen, and J. Yang, “Nonlinear spectrum reshaping and gap-soliton-train trapping in optically induced photonic structures”,<\/a> Phys. Rev. Lett. 98, 213903 (2007).<\/li>\r\n\r\n\r\n\r\n
      89. Z. Shi and J. Yang, “Solitary waves bifurcated from Bloch-band edges in two-dimensional periodic media”,<\/a> Phys. Rev. E 75, 056602 (2007). Erratum<\/a><\/li>\r\n\r\n\r\n\r\n
      90. Y. Zhu and J. Yang, “Universal fractal structures in the weak interaction of solitary waves in generalized nonlinear Schroedinger equations”,<\/a> Phys. Rev. E. 75, 036605 (2007).<\/li>\r\n\r\n\r\n\r\n
      91. J. Yang and T.I. Lakoba, “Universally-convergent squared-operator iteration methods for solitary waves in general nonlinear wave equations”,<\/a> Stud. Appl. Math. 118, 153-197 (2007).<\/li>\r\n\r\n\r\n\r\n
      92. A.S. Desyatnikov, D.E. Pelinovsky, and J. Yang, “Multi-component vortex solutions in symmetric coupled NLS equations.”<\/a> Fund. Appl. Math. 12, 35-63 (2006) (in Russian) [translated into English as J. Math. Sciences 151, 3091-3111 (2008)].<\/li>\r\n\r\n\r\n\r\n
      93. X. Wang, J. Young, Z. Chen, D.Weinstein, and J. Yang, “Observation of lower to higher bandgap transition of one-dimensional defect modes”,<\/a> Opt. Exp. 14, 7362-7367 (2006).<\/li>\r\n\r\n\r\n\r\n
      94. X. Wang, I.Makazyuk, J. Yang and Z. Chen, “Optically Induced PCF-Like Structures”,<\/a> Optics and Photonics News, p27, Dec. 2006.<\/li>\r\n\r\n\r\n\r\n
      95. I. Makasyuk, Z. Chen and J. Yang, “Bandgap guidance in optically-induced photonic lattices with a negative defect”,<\/a> Phys. Rev. Lett. 96, 223903 (2006) Erratum<\/a> [reprinted in Virtual J. Nanoscale Sci. Tech. Volume 13, issue 24 (2006) link<\/a> ].<\/li>\r\n\r\n\r\n\r\n
      96. X. Wang, Z. Chen, and J. Yang, “Guiding light in optically-induced ring lattices with a low refractive index core.”<\/a> Opt. Lett. 31, 1887 (2006) [reprinted in Virtual J. Nanoscale Sci. Tech. Volume 13, issue 24 (2006) link<\/a>].<\/li>\r\n\r\n\r\n\r\n
      97. J. Yang and Z. Chen, “Defect solitons in photonic lattices”,<\/a> Phys. Rev. E 73, 026609 (2006).<\/li>\r\n\r\n\r\n\r\n
      98. (Invited) D.E. Pelinovsky and J. Yang, “Stability analysis of embedded solitons in the generalized third-order NLS equation.”<\/a> Chaos 15, 037115 (2005).<\/li>\r\n\r\n\r\n\r\n
      99. F. Fedele, J. Yang, and Z. Chen, “Properties of defect modes in one-dimensional optically-induced photonic lattices.”<\/a> Stud. Appl. Math. 115, 279-301 (2005) (Special issue on Nonlinear Optics,<\/a> guest editor, J. Yang).<\/li>\r\n\r\n\r\n\r\n
      100. F. Fedele, J. Yang, and Z. Chen, “Defect modes in one-dimensional photonic lattices.”<\/a> Opt. Lett. 30, 1506 (2005).<\/li>\r\n\r\n\r\n\r\n
      101. D.E. Pelinovsky and J. Yang, “Instabilities of multi-hump vector solitons in coupled nonlinear Schroedinger equations.”<\/a> Stud. Appl. Math. 115, 109-137 (2005).<\/li>\r\n\r\n\r\n\r\n
      102. J. Yang, I. Makasyuk, P.G. Kevrekidis, H. Martin, B.A. Malomed, D.J. Frantzeskakis, and Z. Chen, “System forms light necklace”,Technoligy Research News, April 6, 2005.<\/li>\r\n\r\n\r\n\r\n
      103. J. Yang, I. Makasyuk, P.G. Kevrekidis, H. Martin, B.A. Malomed, D.J. Frantzeskakis, and Z. Chen, “Necklace-like solitons in optically induced photonic lattices”.<\/a> Phys. Rev. Lett. 94, 113902 (2005).<\/li>\r\n\r\n\r\n\r\n
      104. Z. Chen, H. Martin, E.D. Eugenieva, J. Xu, and J. Yang, “Formation of discrete solitons in light-induced photonic lattices.”<\/a> Opt. Exp. 13, 1816 (2005).<\/li>\r\n\r\n\r\n\r\n
      105. J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, “Dipole and quadrupole solitons in optically-induced two-dimensional photonic lattices: theory and experiment.”<\/a> Stud. Appl. Math. 113, 389 (2004).<\/li>\r\n\r\n\r\n\r\n
      106. Z. Chen, I. Makasyuk, A. Bezryadina, and J. Yang, “Observation of two-dimensional lattice vector solitons.”<\/a> Opt. Lett. 29, 1656 (2004).<\/li>\r\n\r\n\r\n\r\n
      107. J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, “Dipole solitons in optically-induced two-dimensional photonic lattices.”<\/a> Opt. Lett. 29, 1662 (2004).<\/li>\r\n\r\n\r\n\r\n
      108. D.E. Pelinovsky and J. Yang, “Parametric resonance and radiative decay of dispersion–managed solitons.”<\/a> SIAM J. Appl. Math. 64, 1360 (2004).<\/li>\r\n\r\n\r\n\r\n
      109. J. Yang, “Stability of vortex solitons in a photorefractive optical lattice.”<\/a> New Journal of Physics 6, 47 (2004).<\/li>\r\n\r\n\r\n\r\n
      110. Z. Musslimani and J. Yang, “Self-trapping of light in a two-dimensional periodic structure.”<\/a> J. Opt. Soc. Am. B. 21, 973-981 (2004) [reprinted in Virtual J. Nanoscale Sci. Tech. Volume 9, issue 19 (2004) link<\/a> ].<\/li>\r\n\r\n\r\n\r\n
      111. J. Yang, “Stable embedded solitons.”<\/a> Phys. Rev. Lett. 91, 143903 (2003).<\/li>\r\n\r\n\r\n\r\n
      112. J. Yang and Z. Musslimani, “Fundamental and vortex solitons in a two-dimensional optical lattice.”<\/a> Opt. Lett. 28, 2094 (2003).<\/li>\r\n\r\n\r\n\r\n
      113. V.S. Shchesnovich and J. Yang, “General soliton matrices in the Riemann-Hilbert problem for integrable nonlinear equations.”<\/a> J. Math. Phys. 44, 4604 (2003).<\/li>\r\n\r\n\r\n\r\n
      114. J. Yang and T.R. Akylas, “Continuous families of embedded solitons in the third-order nonlinear Schroedinger equation.”<\/a> Stud. Appl. Math. 111, 359-375 (2003).<\/li>\r\n\r\n\r\n\r\n
      115. V.S. Shchesnovich and J. Yang, “Higher-order solitons in the N-wave system.”<\/a> Stud. Appl. Math. 110, 297 (2003).<\/li>\r\n\r\n\r\n\r\n
      116. J. Yang and D.E. Pelinovsky, “Stable vortex and dipole vector solitons in a saturable nonlinear medium.”<\/a> Phys. Rev. E 67, 016608 (2003).<\/li>\r\n\r\n\r\n\r\n
      117. A.R. Champneys and J. Yang, “A scalar nonlocal bifurcation of solitary waves for coupled nonlinear Schroedinger systems.”<\/a> Nonlinearity 15, 2165 (2002).<\/li>\r\n\r\n\r\n\r\n
      118. B.A. Malomed and J. Yang, “Solitons in coupled Ablowitz-Ladik chains.”<\/a> Phys. Lett. A. 302, 163 (2002).<\/li>\r\n\r\n\r\n\r\n
      119. J. Yang, “Internal oscillations and instability characteristics of (2+1) dimensional solitons in a saturable nonlinear medium.”<\/a> Phys. Rev. E. 66, 026601 (2002).<\/li>\r\n\r\n\r\n\r\n
      120. Y. Tan, J. Yang and D.E. Pelinovsky, “Semi-stability of embedded solitons in the general fifth-order KdV equation.”<\/a> Wave Motion 36, 241 (2002).<\/li>\r\n\r\n\r\n\r\n
      121. X. Chen and J. Yang, “A direct perturbation theory for solitons of the derivative nonlinear Schroedinger equation and the modified nonlinear Schroedinger equation.”<\/a> Phys. Rev. E. 65, 066608 (2002) [reprinted in Virtual J. Ultrafast Sci. Volume 1, issue 2 (2002) link<\/a> ].<\/li>\r\n\r\n\r\n\r\n
      122. Y. Tan, J. Yang, W.L. Kath and C.R.Menyuk, “Transient evolution of the polarization dispersion vector’s probability distribution.”<\/a> J. Opt. Soc. Am. B. 19, 992 (2002).<\/li>\r\n\r\n\r\n\r\n
      123. D.E. Pelinovsky and J. Yang, “A normal form for nonlinear resonance of embedded solitons.”<\/a> Proc. Roy. Soc.Lond. A. 458, 1469-1497 (2002).<\/li>\r\n\r\n\r\n\r\n
      124. J. Yang, “Suppression of Manakov-Soliton Interference in Optical Fibers.”<\/a> Phys. Rev. E. 65, 036606 (2002).<\/li>\r\n\r\n\r\n\r\n
      125. J. Yang, “Eigenfunctions of linearized integrable equations expanded around an arbitrary solution.”<\/a> Stud. Appl. Math. 108, 145 (2002).<\/li>\r\n\r\n\r\n\r\n
      126. Z.H. Musslimani and J. Yang, “Transverse instability of strongly coupled dark-bright Manakov vector solitons.”<\/a> Opt. Lett. 26, 1981 (2001).<\/li>\r\n\r\n\r\n\r\n
      127. Y. Tan and J. Yang, “Complexity and regularity of vector-soliton collisions.”<\/a> Phys. Rev. E. 64, 056616 (2001).<\/li>\r\n\r\n\r\n\r\n
      128. Y. Tan and J. Yang, “Resonance and phase induced window sequences in vector soliton collisions.”<\/a> Phys. Lett. A. 288, 309 (2001).<\/li>\r\n\r\n\r\n\r\n
      129. V.S. Gerdjikov, E.V. Doktorov and J. Yang, “Adiabatic Interaction of N-Ultrashort Solitons: Universality of the Complex Toda Chain Model.”<\/a> Phys. Rev. E. 64, 056617 (2001).<\/li>\r\n\r\n\r\n\r\n
      130. J. Yang, W.L. Kath and C.R. Menyuk, “Polarization mode dispersion probability distribution for arbitrary distances.”<\/a> Opt. Lett. 26, 1472 (2001).<\/li>\r\n\r\n\r\n\r\n
      131. J. Yang, “Interactions of vector solitons.”<\/a> Phys. Rev. E 64, 026607 (2001).<\/li>\r\n\r\n\r\n\r\n
      132. J. Yang, B.A. Malomed, D.J. Kaup, and A.R. Champneys, “Embedded solitons: a new type of solitary waves”.<\/a> Mathematics and Computers in Simulation, 56, 585 (2001). Erratum<\/a><\/li>\r\n\r\n\r\n\r\n
      133. A.R. Champneys, B.A. Malomed, J. Yang, and D.J. Kaup, “Embedded solitons: solitary waves in resonance with the linear spectrum”.<\/a> Physica D 152, 340 (2001).<\/li>\r\n\r\n\r\n\r\n
      134. J. Yang, “Dynamics of embedded solitons in the extended KdV equations.”<\/a> Stud. Appl. Math. 106, 337 (2001).<\/li>\r\n\r\n\r\n\r\n
      135. J. Yang and Y. Tan, “Fractal dependence of vector-soliton collisions in birefringent fibers.”<\/a> Phys. Lett. A. 280, 129 (2001).<\/li>\r\n\r\n\r\n\r\n
      136. J. Yang, “Structure of linearization operators of the Korteweg-de Vries hierarchy equations expanded around single-soliton solutions.”<\/a> Phys. Lett. A 279, 341 (2001).<\/li>\r\n\r\n\r\n\r\n
      137. J. Yang, “Complete eigenfunctions of linearized integrable equations expanded around a soliton solution”.<\/a> J. Math. Phys. 41, 6614 (2000). Erratum<\/a><\/li>\r\n\r\n\r\n\r\n
      138. J. Yang and Y. Tan, “Fractal structure in the collision of vector solitons.”<\/a> Phys. Rev. Lett. 85, 3624 (2000).<\/li>\r\n\r\n\r\n\r\n
      139. D.E. Pelinovsky and J. Yang, “Internal Oscillations and radiation damping of Vector Solitons.”<\/a> Stud. Appl. Math. 105, 245 (2000).<\/li>\r\n\r\n\r\n\r\n
      140. J. Yang and D.J. Kaup, “Stability and evolution of solitary waves in perturbed generalized nonlinear Schroedinger equations.”<\/a> SIAM J. Appl. Math. 60, 967-989 (2000).<\/li>\r\n\r\n\r\n\r\n
      141. D.J. Kaup, B.A. Malomed, and J. Yang, “Collision-induced pulse timing jitter in a WDM system with strong dispersion management.”<\/a> J. Opt. Soc. Am. B 16, 1628 (1999).<\/li>\r\n\r\n\r\n\r\n
      142. J. Yang, B.A. Malomed and D.J. Kaup, “Embedded solitons in second-harmonic-generating systems.”<\/a> Phys. Rev. Lett. 83, 1958 (1999). Erratum<\/a><\/li>\r\n\r\n\r\n\r\n
      143. D.E. Pelinovsky, J.E. Sipe, and J. Yang, “Generation of soliton oscillations in nonlinear quadratic materials.”<\/a> Phys. Rev. E 59, 7250 (1999).<\/li>\r\n\r\n\r\n\r\n
      144. J. Yang, “Multisoliton perturbation theory for the Manakov equations and its applications to nonlinear optics.”<\/a> Phys. Rev. E. 59, 2393 (1999).<\/li>\r\n\r\n\r\n\r\n
      145. D.J. Kaup, B.A. Malomed, and J. Yang, “Inter-channel pulse collision in a WDM system with strong dispersion management.”<\/a> Opt. Lett. 23, 1600 (1998).<\/li>\r\n\r\n\r\n\r\n
      146. T.I. Lakoba, J. Yang, D.J. Kaup, and B.A. Malomed, “Conditions for stationary pulse propagation in the strong dispersion management regime.”<\/a> Opt. Comm. 149, 366 (1998).<\/li>\r\n\r\n\r\n\r\n
      147. J. Yang, “Multiple permanent-wave trains in nonlinear systems.”<\/a> Stud. Appl. Math. 100, 127 (1998).<\/li>\r\n\r\n\r\n\r\n
      148. J. Yang, “Classification of the solitary waves in coupled nonlinear Schroedinger equations.” <\/a>Physica D, 108, 92–112 (1997).<\/li>\r\n\r\n\r\n\r\n
      149. J. Yang, “Vector solitons and their internal oscillations in birefringent nonlinear optical fibers.”<\/a> Stud. Appl. Math. 98, 61-97 (1997).<\/li>\r\n\r\n\r\n\r\n
      150. J. Yang, “Coherent structures in weakly-birefringent nonlinear optical fibers.”<\/a> Stud. Appl. Math. 97, 127-148 (1996).<\/li>\r\n\r\n\r\n\r\n
      151. J. Yang and D.J. Benney, “Some properties of nonlinear wave systems.”<\/a> Stud. Appl. Math. 96, 111-139 (1996).<\/li>\r\n\r\n\r\n\r\n
      152. J. Yang, “The stability and nonlinear evolution of edge waves.”<\/a> Stud. Appl. Math. 95, 229-246 (1995).<\/li>\r\n\r\n\r\n\r\n
      153. J. Yang, “The sloshing motion of cross-waves.”<\/a> Stud. Appl. Math. 95, 171-191 (1995).<\/li>\r\n\r\n\r\n\r\n
      154. S.A. Lowe, W.W. Roberts, J. Yang, G. Bertin, and C.C. Lin, “Modal approach to the morphology of spiral galaxies. III. Application to the Galaxy M81.”<\/a> The Astrophysical Journal, 427, 184-201 (1994).<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/details><\/div>\r\n\r\n\r\n\r\n
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