menu

Jianke (Jackie) Yang

Publications

Monographs
  1. D.N. Christodoulides and J. Yang (Eds), Parity-time Symmetry and Its Applications (Springer, 2018).
  2. J. Yang, Nonlinear Waves in Integrable and Nonintegrable Systems (SIAM, Philadelphia, 2010). Erratum
  3. M. Skorobogatiy and J. Yang, Fundamentals of Photonic Crystal Guiding (Cambridge University Press, Cambridge, UK, 2009). Erratum
Book chapters
  1. J. Yang, “Construction of non-PT-symmetric complex potentials with all-real spectra”, 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 [math-ph]).
  2. J. Yang, “Conditions and Stability Analysis for Saddle-Node Bifurcations of Solitary Waves in Generalized Nonlinear Schroedinger Equations”, 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.
  3. J. Yang, X. Wang, J. Wang and Z. Chen, “Light localization by defects in optically induced photonic structures”, chapter in book “Nonlinearities in Periodic Structures and Metamaterials”, C. Denz, S. Flach and Y.S. Kivshar, ed. (Springer, Berlin, 2009), pp. 127-143.
  4. Z. Chen and J. Yang, “Optically-induced reconfigurable photonic lattices for linear and nonlinear control of light”, in book “Nonlinear Optics and Applications”, H. A. Abdeldayem and D. O. Frazier, ed. (Research Signpost, Kerala, India, 2007), Chapter 5, pp. 103-150.
  5. Z. Shi and J. Yang, “New solitary wave structures in two-dimensional periodic media” chapter in “Frontiers of Applied Mathematics”, pp 211-226, editors, D. Hsieh, et al, World Scientific, Singapore, 2007.
  6. J. Yang and X. Chen, “Linearization operators of solitons in the derivative nonlinear Schroedinger hierarchy,” chapter in “Trends in Soliton Research”, pp 15-27, Editor L.V. Chen, Nova Publishers, 2006.
  7. J. Yang, “A tail-matching method for the linear stability of multi-vector-soliton bound states.” chapter in AMS book series “Contemporary Mathematics” 379, 63-82 (2005).
Refereed journal publications
  1. B. Yang and J. Yang, “Rogue curves in the Davey-Stewartson I equation”, arXiv:2403.18770 [nlin.SI] (2024).
  2. B. Yang and J. Yang, “Rogue wave patterns associated with Adler-Moser polynomials in the nonlinear Schrodinger equation“, Appl. Math. Lett. 148, 108871 (2024) (see also arXiv:2309.01554 [nlin.SI]).
  3. 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“, APL Photon. 8, 076102 (2023).
  4. B. Yang and J. Yang, “Partial-rogue waves that come from nowhere but leave with a trace in the Sasa-Satsuma equation“, Phys. Lett. A 458, 128573 (2023) (see also arXiv:2210.03414 [nlin.SI]).
  5. B. Yang and J. Yang, “Rogue wave patterns associated with Okamoto polynomial hierarchies“, Stud. Appl. Math. 151, 60 (2023) (see also arXiv:2208.03214 [nlin.SI]).
  6. B. Yang and J. Yang, “Overview of the Kadomtsev-Petviashvili-hierarchy reduction method for solitons“, Partial Differential Equations in Applied Mathematics 5, 100346 (2022).
  7. B. Yang and J. Yang, “Pattern transformation in higher-order lumps of the Kadomtsev-Petviashvili I equation“, J. Nonl. Sci. 32, 52 (2022) (see also arXiv:2110.00953 [nlin.SI]).
  8. B. Yang and J. Yang, “Rogue waves in (2+1)-dimensional three-wave resonant interactions“, Physica D 432, 133160 (2022) (see also arXiv:2111.11333 [nlin.SI]).
  9. B. Yang and J. Yang, “Universal rogue wave patterns associated with the Yablonskii-Vorob’ev polynomial hierarchy“, Physica D 425, 132958 (2021) (see also arXiv:2103.11223 [nlin.SI]).
  10. J. Yang, “Analytical construction of soliton families in one- and two-dimensional nonlinear Schrodinger equations with non-parity-time-symmetric complex potentials“, Stud. Appl. Math. 147, 4-31 (2021) (see also arXiv:2102.03663 [nlin.PS]).
  11. B. Yang and J. Yang, “General rogue waves in the three-wave resonant interaction systems”, IMA J. Appl. Math. 86, 378-425 (2021) (see also arXiv:2005.10847 [nlin.SI]).
  12. B. Yang and J. Yang, “Rogue wave patterns in the nonlinear Schrodinger equation“, Physica D 419, 132850 (2021) (see also arXiv:2101.00383 [nlin.SI]).
  13. M. Guo, S. Xia, N. Wang, D. Song, Z. Chen and J. Yang, “Weakly nonlinear topological gap solitons in Su-Schrieffer-Heeger photonic lattices“, Opt. Lett. 45, 6466-6469 (2020) (see also arXiv:2011.00311 [physics.optics]).
  14. B. Yang, J. Chen and J. Yang, “Rogue waves in the generalized derivative nonlinear Schrodinger equations“, J. Nonl. Sci. 30, 3027-3056 (2020) (see also arXiv:1912.05589 [nlin.SI]).
  15. B. Bagchi and J. Yang, “New families of non-parity-time-symmetric complex potentials with all-real spectra”, J. Math. Phys. 61, 063506 (2020) (see also arXiv:1908.03758 [math-ph]).
  16. B. Yang and J. Yang, “On general rogue waves in the parity-time-symmetric nonlinear Schroedinger equation”, J. Math. Anal. Appl. 487, 124023 (2020) (see also arXiv:1903.06203 [nlin.SI]).
  17. B. Yang and J. Yang, “General rogue waves in the Boussinesq equation”, J. Phys. Soc. Jpn. 89, 024003 (2020) (see also arXiv:1908.00109 [nlin.PS]).
  18. J. Yang, “Symmetry breaking with opposite stability between bifurcated asymmetric solitons in parity-time-symmetric potentials“, Opt. Lett. 44, 2641-2644 (2019) [Editors` Pick] (see also arXiv:1903:04953 [nlin.PS]).
  19. B. Yang and J. Yang, “Rogue waves in the PT-symmetric nonlinear Schrodinger equation”, Lett. Math. Phys. 109, 945-973 (2019) (see also arXiv:1711.05930 [nlin.SI]).
  20. J. Yang, “General N-solitons and their dynamics in several nonlocal nonlinear Schroedinger equations”, Phys. Lett. A 383, 328-337 (2019) (see also arXiv:1712.01181 [nlin.SI]).
  21. J. Yang, “Physically significant nonlocal nonlinear Schrodinger equation and its soliton solutions”, Phys. Rev. E 98, 042202 (2018) (see also arXiv:1807.02185 [nlin.SI]).
  22. B. Yang and J. Yang, “Transformations between nonlocal and local integrable equations”, Stud. Appl. Math. 140, 178-201 (2018) (see also arXiv:1705.00332 [nlin.PS]).
  23. J. Yang, “Classes of non-parity-time-symmetric optical potentials with exceptional-point-free phase transitions”, Opt. Lett. 42, 4067-4070 (2017) (see also arXiv:1707.03953 [physics.optics]).
  24. S. Nixon, T.R. Akylas and J. Yang, “New aspects of exponential asymptotics in multi-scale nonlinear wave problems”, Stud. Appl. Math. 139, 223-247 (2017).
  25. J. Yang, “Nonlinear behaviors in a PDE model for parity-time-symmetric lasers“, J. Opt. 19, 054004 (2017).
  26. J. Yang and S. Nixon, “Stability of soliton families in nonlinear Schroedinger equations with non-parity-time-symmetric complex potentials“, Phys. Lett. A 380, 3803-3809 (2016) (see also arXiv:1605.02259 [nlin.PS]).
  27. V.V. Konotop, J. Yang and D.A. Zezyulin, “Nonlinear waves in PT-symmetric systems“, Rev. Mod. Phys. 88, 035002 (2016) (see also arXiv:1603.06826 [nlin.PS]).
  28. S. Nixon and J. Yang, “Nonlinear light behaviors near phase transition in non-parity-time-symmetric complex waveguides“, Opt. Lett. 41, 2747-2750 (2016) (see also arXiv:1604.02025 [physics.optics]).
  29. S. Nixon and J. Yang, “Nonlinear wave dynamics near phase transition in PT-symmetric localized potentials“, Physica D 331, 48-57 (2016) (see also arXiv:1506.04445 [nlin.PS]).
  30. S. Nixon and J. Yang, “All-real spectra in optical systems with arbitrary gain and loss distributions,” Phys. Rev. A 93, 031802(R) (2016) [EDITORS’ SUGGESTION].
  31. J. Yang, “A normal form for Hamiltonian-Hopf bifurcations in nonlinear Schrodinger equations with general external potentials“, SIAM J. Appl. Math. 76, 598-617 (2016) (see also arXiv:1510.00949 [nlin.PS], 2015).
  32. S. Nixon and J. Yang, “Bifurcation of soliton families from linear modes in non-PT-symmetric complex potentials“, Stud. Appl. Math. 136, 459-483 (2016) (see also arXiv:1509.07057 [nlin.PS]).
  33. P. Ni, P. Zhang, X. Qi, J. Yang, Z. Chen, and W. Man, “Light localization and nonlinear beam transmission in specular amorphous photonic lattice“, Opt. Express 24, 2420-2426 (2016).
  34. S. Nixon and J. Yang, “Light propagation in periodically modulated complex waveguides“, Phys. Rev. A 91, 033807 (2015) (see also arXiv:1412.6113 [physics.optics]).
  35. J. Yang, “Symmetry breaking of solitons in two-dimensional complex potentials“, Phys. Rev. E 91, 023201 (2015) (see also arXiv:1410.3039 [nlin.PS], 2014).
  36. J. Yang, “A numerical method for computing time-periodic solutions in dissipative wave systems”, Stud. Appl. Math. 134, 420-455 (2015) (see also arXiv:1408.6490 [nlin.PS], 2014).
  37. J. Yang, “Symmetry breaking of solitons in one-dimensional parity-time-symmetric optical potentials“, Opt. Lett. 39, 5547-5550 (2014) (see also arXiv:1408.0687 [physics.optics]).
  38. S. Nixon and J. Yang, “Exponential asymptotics for solitons in PT-symmetric periodic potentials”, Stud. Appl. Math. 133, 373-397 (2014) (see also arXiv:1405.2827 [nlin.PS]).
  39. Y. Ohta and J. Yang, “General rogue waves in the focusing and defocusing Ablowitz-Ladik equations”, J. Phys. A 47, 255201 (2014) (this paper is featured on the cover of issue 25, June 27).
  40. J. Yang, “Partially PT-symmetric optical potentials with all-real spectra and soliton families in multi-dimensions”, Opt. Lett. 39, 1133-1136 (2014) (see also arXiv:1312.3660 [nlin.PS]).
  41. J. Yang, “Necessity of PT symmetry for soliton families in one-dimensional complex potentials”, Phys. Lett. A 378, 367–373 (2014) (see also arXiv:1310.4490 [nlin.PS]).
  42. J. Yang, “Can parity-time-symmetric potentials support families of non-parity-time-symmetric solitons?”, Stud. Appl. Math. 132, 332–353 (2014) (see also arXiv:1309.1652 [nlin.PS]). Erratum
  43. S. Nixon, T.R. Akylas and J. Yang, “Exponential asymptotics for line solitons in two-dimensional periodic potentials”, Stud. Appl. Math. 131, 149–178 (2013) (see also arXiv:1305.0532 [nlin.PS]).
  44. D.E. Pelinovsky and J. Yang, “On transverse stability of discrete line solitons”, Physica D 255, 1–11 (2013) (see also arXiv:1210.0938 [nlin.PS]).
  45. S. Nixon and J. Yang, “Pyramid diffraction in parity-time-symmetric optical lattices”, Opt. Lett. 38, pp. 1933–1935 (2013) (see also arXiv:1303.5028 [physics.optics]). Erratum
  46. J. Yang, “Stability switching at transcritical bifurcations of solitary waves in generalized nonlinear Schroedinger equations”, Phys. Lett. A 377, 866 – 870(2013) (see also arXiv:1211.0062 [nlin.PS]).
  47. Y. Ohta and J. Yang, “Dynamics of rogue waves in the Davey-Stewartson II equation”, J. Phys. A 46, 105202 (2013) (see also arXiv:1212.0152 [nlin.SI]).
  48. J. Yang, “Stability analysis for pitchfork bifurcations of solitary waves in generalized nonlinear Schroedinger equations”, Physica D 244, 50-67 (2013) (see also arXiv:1204.2592 [nlin.PS]).
  49. S. Nixon, Y. Zhu and J. Yang, “Nonlinear dynamics of wave packets in PT-symmetric optical lattices near the phase transition point”, Opt. Lett. 37, 4874-4876 (2012) (see also arXiv:1208.5995 [physics.optics]).
  50. Y. Ohta and J. Yang, “Rogue waves in the Davey-Stewartson-I equation”, Phys. Rev. E 86, 036604 (2012).
  51. J. Yang, “Classification of solitary wave bifurcations in generalized nonlinear Schroedinger equations”, Stud. Appl. Math. 129, 133-162 (2012) (see also arXiv:1203.5148 [nlin.PS]).
  52. Y. Ohta and J. Yang, “General high-order rogue waves and their dynamics in the nonlinear Schroedinger equation”, Proc. Roy. Soc. A. 468, 1716-1740 (2012).
  53. J. Yang, D. Gallardo, A. Miller, and Z. Chen, “Elimination of transverse instability in stripe solitons by one-dimensional lattices”, Opt. Lett. 37, 1571-1573 (2012).
  54. J. Yang, “No Stability Switching at Saddle-Node Bifurcations of Solitary Waves in Generalized Nonlinear Schroedinger Equations”, Phys. Rev. E 85, 037602 (2012).
  55. G. Hwang, T.R. Akylas and J. Yang, “Solitary waves and their linear stability in nonlinear lattices”, Stud. Appl. Math. 128, 275-299 (2012).
  56. S. Nixon, L. Ge and J. Yang, “Stability analysis for solitons in PT-symmetric optical lattices”, Phys. Rev. A 85, 023822 (2012).
  57. T.R. Akylas, G. Hwang and J. Yang, “From nonlocal gap solitary waves to bound states in periodic media”, Proc. Roy. Soc. A 468, 116-135 (2012).
  58. Y. Ohta, D. Wang and J. Yang, “General N-dark-dark solitons in the coupled nonlinear Schroedinger equations”, Stud. Appl. Math. 127, 345-371 (2011).
  59. J. Yang, “Transversely stable soliton trains in photonic lattices”, Phys. Rev. A. 84, 033840 (2011).
  60. G. Hwang, T.R. Akylas and J. Yang, “Gap solitons and their linear stability in one-dimensional periodic media”, Physica D 240, 1055-1068 (2011). Erratum
  61. 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”, Phys. Rev. A. 83, 033836 (2011).
  62. J. Yang, P. Zhang, M. Yoshihara, Y. Hu, and Z. Chen, “Image transmission using stable solitons of arbitrary shapes in photonic lattices”, Opt. Lett. 36, 772-774 (2011).
  63. J. Yang, “Fully localized two-dimensional embedded solitons”, Phys. Rev. A 82, 053828 (2010).
  64. 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”, Opt. Lett. 35, 2106 (2010).
  65. D. Wang, D. Zhang and J. Yang, “Integrable properties of the general coupled nonlinear Schroedinger equations”, J. Math. Phys. 51, 023510 (2010).
  66. Y Hu, C. Lou, P. Zhang, J. Xu, J. Yang, and Z. Chen, “Saddle solitons: A new balance between bi-diffraction and hybrid nonlinearity”, Opt. Lett. 34, 3259 (2009) [reprinted in Virtual J. Ultrafast Science, Dec, 2009 (link) ].
  67. D.J. Kaup and J. Yang, “The inverse scattering transform and squared eigenfunctions for a degenerate 3 x 3 operator”, Inverse Problems 25, 105010 (2009).
  68. J. Yang, “Newton-Conjugate-Gradient Methods for Solitary Wave Computations”, J. Comp. Phys. 228, 7007-7024 (2009).
  69. Y. Zhu, R. Haberman and J. Yang, “Separatrix map analysis for fractal scatterings in weak interactions of solitary waves”, Stud. Appl. Math. 122, 449-483 (2009). Erratum
  70. J. Wang, J. Yang, T.J. Alexander, and Y.S. Kivshar, “Truncated-Bloch-wave solitons in optical lattices”, Phys. Rev. A. 79, 043610 (2009).
  71. J. Yang and D.J. Kaup, “Squared Eigenfunctions for the Sasa-Satsuma Equation”, J. Math. Phys. 50, 023504 (2009).
  72. Z. Shi, J. Wang, Z. Chen, and J. Yang, “Linear instability of two-dimensional low-amplitude gap solitons near band edges in periodic media”, Phys. Rev. A. 78, 063812 (2008).
  73. J. Yang, “Iteration methods for stability spectra of solitary waves”, J. Comp. Phys. 227, 6862-6876 (2008).
  74. Y. Zhu, R. Haberman, and J. Yang, “A universal separatrix map for weak interactions of solitary waves in generalized nonlinear Schroedinger equations”, Physica D 237, 2411-2422 (2008).
  75. E.V. Doktorov, J. Wang, and J. Yang, “Perturbation theory for bright spinor Bose–Einstein condensate solitons”, Phys. Rev. A. 77, 043617 (2008).
  76. Y. Zhu, R. Haberman, and J. Yang, “A Universal Map for Fractal Structures in Weak Interactions of Solitary Waves”, Phys. Rev. Lett. 100, 143901 (2008).
  77. J. Yang and T.I. Lakoba, “Accelerated Imaginary-time Evolution Methods for theComputation of Solitary Waves”, Stud. Appl. Math. 120, 265-292 (2008) (arXiv:0711.3434v1 [nlin.PS])
  78. J. Wang and J. Yang, “Families of vortex solitons in periodic media”, Phys. Rev. A. 77, 033834 (2008).
  79. X. Wang, Z. Chen, J. Wang and J. Yang, “Observation of in-band lattice solitons”, Phys. Rev. Lett. 99, 243901 (2007).
  80. J. Wang, J. Yang and Z. Chen, “Two-dimensional defect modes in optically induced photonic lattices”, Phys. Rev. A. 76, 013828 (2007) [reprinted in Virtual J. Nanoscale Sci. Tech. Volume 16, issue 6 (2007)].
  81. T.I. Lakoba and J. Yang, “A generalized Petviashvili iteration method forscalar and vector Hamiltonian equations with arbitrary form of nonlinearity”, J. Comp. Phys. 226, 1668-1692 (2007).
  82. T.I. Lakoba and J. Yang, “A mode elimination technique to improve convergence of iteration methods for finding solitary waves”, J. Comp. Phys. 226, 1693-1709 (2007).
  83. C. Lou, X. Wang, J. Xu, Z. Chen, and J. Yang, “Nonlinear spectrum reshaping and gap-soliton-train trapping in optically induced photonic structures”, Phys. Rev. Lett. 98, 213903 (2007).
  84. Z. Shi and J. Yang, “Solitary waves bifurcated from Bloch-band edges in two-dimensional periodic media”, Phys. Rev. E 75, 056602 (2007). Erratum
  85. Y. Zhu and J. Yang, “Universal fractal structures in the weak interaction of solitary waves in generalized nonlinear Schroedinger equations”, Phys. Rev. E. 75, 036605 (2007).
  86. J. Yang and T.I. Lakoba, “Universally-convergent squared-operator iteration methods for solitarywaves in general nonlinear wave equations”, Stud. Appl. Math. 118, 153-197 (2007).
  87. A.S. Desyatnikov, D.E. Pelinovsky, and J. Yang, “Multi-component vortex solutionsin symmetric coupled NLS equations.” Fund. Appl. Math. 12, 35-63 (2006) (in Russian) [translated into English as J. Math. Sciences 151, 3091-3111 (2008)].
  88. X. Wang, J. Young, Z. Chen, D.Weinstein, and J. Yang, “Observation of lower to higher bandgap transition of one-dimensional defect modes”, Opt. Exp. 14, 7362-7367 (2006).
  89. X. Wang, I. Makazyuk, J. Yang and Z. Chen, “Optically Induced PCF-Like Structures”, Optics and Photonics News, p27, Dec. 2006.
  90. I. Makasyuk, Z. Chen and J. Yang, “Bandgap guidance in optically-induced photonic lattices with a negative defect”, Phys. Rev. Lett. 96, 223903 (2006) Erratum [reprinted in Virtual J. Nanoscale Sci. Tech. Volume 13, issue 24 (2006) link].
  91. X. Wang, Z. Chen, and J. Yang, “Guiding light in optically-induced ring lattices with a low refractive index core.” Opt. Lett. 31, 1887 (2006) [reprinted in Virtual J. Nanoscale Sci. Tech. Volume 13, issue 24 (2006) link].
  92. J. Yang and Z. Chen, “Defect solitons in photonic lattices”, Phys. Rev. E 73, 026609 (2006).
  93. (Invited) D.E. Pelinovsky and J. Yang, “Stability analysis of embedded solitons in the generalized third-order NLS equation.” Chaos 15, 037115 (2005).
  94. F. Fedele, J. Yang, and Z. Chen, “Properties of defect modes in one-dimensional optically-induced photonic lattices.” Stud. Appl. Math. 115, 279-301 (2005) (Special issue on Nonlinear Optics, guest editor, J. Yang).
  95. F. Fedele, J. Yang, and Z. Chen, “Defect modes in one-dimensional photonic lattices.” Opt. Lett. 30, 1506 (2005).
  96. D.E. Pelinovsky and J. Yang, “Instabilities of multi-hump vector solitons in coupled nonlinear Schroedinger equations.” Stud. Appl. Math. 115, 109-137 (2005).
  97. 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.
  98. 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”. Phys. Rev. Lett. 94, 113902 (2005).
  99. Z. Chen, H. Martin, E.D. Eugenieva, J. Xu, and J. Yang, “Formation of discrete solitons in light-induced photonic lattices.” Opt. Exp. 13, 1816 (2005).
  100. J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, “Dipole and quadrupole solitons in optically-induced two-dimensional photonic lattices: theory and experiment.” Stud. Appl. Math. 113, 389 (2004).
  101. Z. Chen, I. Makasyuk, A. Bezryadina, and J. Yang, “Observation of two-dimensional lattice vector solitons.” Opt. Lett. 29, 1656 (2004).
  102. J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, “Dipole solitons in optically-induced two-dimensional photonic lattices.” Opt. Lett. 29, 1662 (2004).
  103. D.E. Pelinovsky and J. Yang, “Parametric resonance and radiative decay of dispersion–managed solitons.” SIAM J. Appl. Math. 64, 1360 (2004).
  104. J. Yang, “Stability of vortex solitons in a photorefractive optical lattice.” New Journal of Physics 6, 47 (2004).
  105. Z. Musslimani and J. Yang, “Self-trapping of light in a two-dimensional periodic structure.” J. Opt. Soc. Am. B. 21, 973-981 (2004) [reprinted in Virtual J. Nanoscale Sci. Tech. Volume 9, issue 19 (2004) link].
  106. J. Yang, “Stable embedded solitons.” Phys. Rev. Lett. 91, 143903 (2003).
  107. J. Yang and Z. Musslimani, “Fundamental and vortex solitons in a two-dimensional optical lattice.” Opt. Lett. 28, 2094 (2003).
  108. V.S. Shchesnovich and J. Yang, “General soliton matrices in the Riemann-Hilbert problem for integrable nonlinear equations.” J. Math. Phys. 44, 4604 (2003).
  109. J. Yang and T.R. Akylas, “Continuous families of embedded solitons in the third-order nonlinear Schroedinger equation.” Stud. Appl. Math. 111, 359-375 (2003).
  110. V.S. Shchesnovich and J. Yang, “Higher-order solitons in the N-wave system.” Stud. Appl. Math. 110, 297 (2003).
  111. J. Yang and D.E. Pelinovsky, “Stable vortex and dipole vector solitons in a saturable nonlinear medium.” Phys. Rev. E 67, 016608 (2003).
  112. A.R. Champneys and J. Yang, “A scalar nonlocal bifurcation of solitary waves for coupled nonlinear Schroedinger systems.” Nonlinearity 15, 2165 (2002).
  113. B.A. Malomed and J. Yang, “Solitons in coupled Ablowitz-Ladik chains.” Phys. Lett. A. 302, 163 (2002).
  114. J. Yang, “Internal oscillations and instability characteristics of (2+1) dimensional solitons in a saturable nonlinear medium.” Phys. Rev. E. 66, 026601 (2002).
  115. Y. Tan, J. Yang and D.E. Pelinovsky, “Semi-stability of embedded solitons in the general fifth-order KdV equation.” Wave Motion 36, 241 (2002).
  116. X. Chen and J. Yang, “A direct perturbation theory for solitons of the derivative nonlinear Schroedinger equation and the modified nonlinear Schroedinger equation.” Phys. Rev. E. 65, 066608 (2002) [reprinted in Virtual J. Ultrafast Sci. Volume 1, issue 2 (2002) link].
  117. Y. Tan, J. Yang, W.L. Kath and C.R. Menyuk, “Transient evolution of the polarization dispersion vector’s probability distribution.” J. Opt. Soc. Am. B. 19, 992 (2002).
  118. D.E. Pelinovsky and J. Yang, “A normal form for nonlinear resonance of embedded solitons.” Proc. Roy. Soc. Lond. A. 458, 1469-1497 (2002).
  119. J. Yang, “Suppression of Manakov-Soliton Interference in Optical Fibers.” Phys. Rev. E. 65, 036606 (2002).
  120. J. Yang, “Eigenfunctions of linearized integrable equations expanded around an arbitrary solution.” Stud. Appl. Math. 108, 145 (2002).
  121. Z.H. Musslimani and J. Yang, “Transverse instability of strongly coupled dark-bright Manakov vector solitons.” Opt. Lett. 26, 1981 (2001).
  122. Y. Tan and J. Yang, “Complexity and regularity of vector-soliton collisions.” Phys. Rev. E. 64, 056616 (2001).
  123. Y. Tan and J. Yang, “Resonance and phase induced window sequences in vector soliton collisions.” Phys. Lett. A. 288, 309 (2001).
  124. V. S. Gerdjikov, E. V. Doktorov and J. Yang, “Adiabatic Interaction of N-Ultrashort Solitons: Universality of the Complex Toda Chain Model.” Phys. Rev. E. 64, 056617 (2001).
  125. J. Yang, W.L. Kath and C.R. Menyuk, “Polarization mode dispersion probability distribution for arbitrary distances.” Opt. Lett. 26, 1472 (2001).
  126. J. Yang, “Interactions of vector solitons.” Phys. Rev. E 64, 026607 (2001).
  127. Yang, J., Malomed, B.A., Kaup, D.J. and Champneys, A.R., “Embedded solitons: a new type of solitary waves”. Mathematics and Computers in Simulation, 56, 585 (2001). Erratum
  128. Champneys, A.R., Malomed, B.A., Yang, J., and Kaup, D.J., “Embedded solitons: solitary waves in resonance with the linear spectrum”. Physica D 152, 340 (2001).
  129. Yang, J., “Dynamics of embedded solitons in the extended KdV equations.” Stud. Appl. Math. 106, 337 (2001).
  130. J. Yang and Y. Tan, “Fractal dependence of vector-soliton collisions in birefringent fibers.” Phys. Lett. A. 280, 129 (2001).
  131. Yang, J., “Structure of linearization operators of the Korteweg-de Vries hieraracy equations expanded around single-soliton solutions.” Phys. Lett. A 279, 341 (2001).
  132. Yang, J., “Complete eigenfunctions of linearized integrable equations expanded around a soliton solution”. J. Math. Phys. 41, 6614 (2000). Erratum
  133. J. Yang and Y. Tan, “Fractal structure in the collision of vector solitons.” Phys. Rev. Lett. 85, 3624 (2000).
  134. Pelinovsky, D.E. and Yang, J., “Internal Oscillations and radiation damping of Vector Solitons.” Stud. Appl. Math. 105, 245 (2000).
  135. Yang, J. and Kaup, D.J., “Stability and evolution of solitary waves in perturbed generalized nonlinear Schroedinger equations.” SIAM J. Appl. Math. 60, 967-989 (2000).
  136. Kaup, D.J., Malomed, B.A., and Yang, J., “Collision-induced pulse timing jitter in a WDM system with strong dispersion management.” J. Opt. Soc. Am. B 16, 1628 (1999).
  137. Yang, J., Malomed, B.A., and Kaup, D.J., “Embedded solitons in second-harmonic-generating systems.” Phys. Rev. Lett. 83, 1958 (1999). Erratum
  138. Pelinovsky, D.E., Sipe, J.E., and Yang, J., “Generation of soliton oscillations in nonlinear quadratic materials.” Phys. Rev. E 59, 7250 (1999).
  139. Yang, J., “Multisoliton perturbation theory for the Manakov equations and its applications to nonlinear optics.” Phys. Rev. E. 59, 2393 (1999).
  140. Kaup, D.J., Malomed, B.A. and Yang, J., “Inter-channel pulse collision in a WDM system with strong dispersion management.” Opt. Lett. 23, 1600 (1998).
  141. Lakoba, T.I., Yang, J., Kaup, D.J. and Malomed, B.A., “Conditions for stationary pulse propagation in the strong dispersion management regime.” Opt. Comm. 149, 366 (1998).
  142. Yang, J. “Multiple permanent-wave trains in nonlinear systems.” Stud. Appl. Math. 100, 127 (1998).
  143. Yang, J. “Classification of the solitary waves in coupled nonlinear Schroedinger equations.” Physica D, 108, 92–112 (1997).
  144. Yang, J. “Vector solitons and their internal oscillations in birefringent nonlinear optical fibers.” Stud. Appl. Math. 98, 61-97 (1997).
  145. Yang, J. “Coherent structures in weakly-birefringent nonlinear optical fibers.” Stud. Appl. Math. 97, 127-148 (1996).
  146. Yang, J. and Benney, D.J. “Some properties of nonlinear wave systems.” Stud. Appl. Math. 96, 111-139 (1996).
  147. Yang, J. “The stability and nonlinear evolution of edge waves.” Stud. Appl. Math. 95, 229-246 (1995).
  148. Yang, J. “The sloshing motion of cross-waves.” Stud. Appl. Math. 95, 171-191 (1995).
  149. Lowe, S. A., Roberts, W. W., Yang, J., Bertin, G. and Lin, C. C. “Modal approach to the morphology of spiral galaxies. III. Application to the Galaxy M81.” The Astrophysical Journal, 427, 184-201 (1994).
Matlab Codes

Skip to toolbar