Publications --- Sorted by Time


    Monographs

  1. J. Yang, Nonlinear Waves in Integrable and Nonintegrable Systems (SIAM, Philadelphia, 2010). Erratum
  2. M. Skorobogatiy and J. Yang, Fundamentals of Photonic Crystal Guiding (Cambridge University Press, Cambridge, UK, 2009). Erratum


    Invited book chapters

  1. J. Yang, X. Wang, J. Wang and Z. Chen, "Light localization by defects in optically induced photonic structures", chapter in "Nonlinearities in Periodic Structures and Metamaterials", C. Denz, S. Flach and Y.S. Kivshar, ed. (Springer, Berlin, 2009), pp. 127-143.
  2. 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.
  3. 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.
  4. 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.
  5. 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. S. Nixon, L. Ge and J. Yang, "Stability analysis for solitons in PT-symmetric optical lattices", to appear in Phys. Rev. A (2012) (see also Arxiv preprint arXiv:1201.2696 [physics.optics]).
  2. J. Yang, "No Stability Switching at Saddle-Node Bifurcations of Solitary Waves in Generalized Nonlinear Schroedinger Equations", Arxiv preprint arXiv:1112.2583v1 [nlin.PS] (2011).
  3. Y. Ohta and J. Yang, "General high-order rogue waves and their dynamics in the nonlinear Schroedinger equation", to appear in Proc. Roy. Soc. A (see also Arxiv preprint arXiv:1110.5873 (2011)).
  4. 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).
  5. G. Hwang, T.R. Akylas and J. Yang, "Solitary waves and their linear stability in nonlinear lattices", Stud. Appl. Math. DOI: 10.1111/j.1467-9590.2011.00538.x (published online on Nov. 15, 2011).
  6. 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).
  7. J. Yang, "Transversely stable soliton trains in photonic lattices", Phys. Rev. A. 84, 033840 (2011).
  8. 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
  9. 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).
  10. 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).
  11. J. Yang, "Fully localized two-dimensional embedded solitons", Phys. Rev. A 82, 053828 (2010).
  12. 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).
  13. D. Wang, D. Zhang and J. Yang, "Integrable properties of the general coupled nonlinear Schroedinger equations", J. Math. Phys. 51, 023510 (2010).
  14. 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) ].
  15. 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).
  16. J. Yang, "Newton-Conjugate-Gradient Methods for Solitary Wave Computations", J. Comp. Phys. 228, 7007–7024 (2009).
  17. 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
  18. J. Wang, J. Yang, T.J. Alexander, and Y.S. Kivshar, "Truncated-Bloch-wave solitons in optical lattices", Phys. Rev. A. 79, 043610 (2009).
  19. J. Yang and D.J. Kaup, "Squared Eigenfunctions for the Sasa-Satsuma Equation", J. Math. Phys. 50, 023504 (2009).
  20. 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).
  21. J. Yang, "Iteration methods for stability spectra of solitary waves", J. Comp. Phys. 227, 6862-6876 (2008).
  22. 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).
  23. E.V. Doktorov, J. Wang, and J. Yang, "Perturbation theory for bright spinor Bose--Einstein condensate solitons", Phys. Rev. A. 77, 043617 (2008).
  24. 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).
  25. 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])
  26. J. Wang and J. Yang, "Families of vortex solitons in periodic media", Phys. Rev. A. 77, 033834 (2008).
  27. X. Wang, Z. Chen, J. Wang and J. Yang, "Observation of in-band lattice solitons", Phys. Rev. Lett. 99, 243901 (2007).
  28. 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)].
  29. 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).
  30. 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).
  31. 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).
  32. Z. Shi and J. Yang, "Solitary waves bifurcated from Bloch-band edges in two-dimensional periodic media", Phys. Rev. E 75, 056602 (2007). Erratum
  33. 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).
  34. 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).
  35. 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)].
  36. 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).
  37. X. Wang, I. Makazyuk, J. Yang and Z. Chen, "Optically Induced PCF-Like Structures", Optics and Photonics News, p27, Dec. 2006.
  38. 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].
  39. 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].
  40. J. Yang and Z. Chen, "Defect solitons in photonic lattices", Phys. Rev. E 73, 026609 (2006).
  41. (Invited) D.E. Pelinovsky and J. Yang, "Stability analysis of embedded solitons in the generalized third-order NLS equation." Chaos 15, 037115 (2005).
  42. 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) (focus issue on 'Nonlinear Wave Phenomena in Periodic Photonic Structures', guest editor, J. Yang).
  43. F. Fedele, J. Yang, and Z. Chen, "Defect modes in one-dimensional photonic lattices." Opt. Lett. 30, 1506 (2005).
  44. D.E. Pelinovsky and J. Yang, "Instabilities of multi-hump vector solitons in coupled nonlinear Schroedinger equations." Stud. Appl. Math. 115, 109-137 (2005).
  45. 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.
  46. 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).
  47. 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).
  48. 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).
  49. Z. Chen, I. Makasyuk, A. Bezryadina, and J. Yang, "Observation of two-dimensional lattice vector solitons." Opt. Lett. 29, 1656 (2004).
  50. J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, "Dipole solitons in optically-induced two-dimensional photonic lattices." Opt. Lett. 29, 1662 (2004).
  51. D.E. Pelinovsky and J. Yang, "Parametric resonance and radiative decay of dispersion--managed solitons." SIAM J. Appl. Math. 64, 1360 (2004).
  52. J. Yang, "Stability of vortex solitons in a photorefractive optical lattice." New Journal of Physics 6, 47 (2004).
  53. 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].
  54. J. Yang, "Stable embedded solitons." Phys. Rev. Lett. 91, 143903 (2003).
  55. J. Yang and Z. Musslimani, "Fundamental and vortex solitons in a two-dimensional optical lattice." Opt. Lett. 28, 2094 (2003).
  56. V.S. Shchesnovich and J. Yang, "General soliton matrices in the Riemann-Hilbert problem for integrable nonlinear equations." J. Math. Phys. 44, 4604 (2003).
  57. 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).
  58. V.S. Shchesnovich and J. Yang, "Higher-order solitons in the N-wave system." Stud. Appl. Math. 110, 297 (2003).
  59. J. Yang and D.E. Pelinovsky, "Stable vortex and dipole vector solitons in a saturable nonlinear medium." Phys. Rev. E 67, 016608 (2003).
  60. A.R. Champneys and J. Yang, "A scalar nonlocal bifurcation of solitary waves for coupled nonlinear Schroedinger systems." Nonlinearity 15, 2165 (2002).
  61. B.A. Malomed and J. Yang, "Solitons in coupled Ablowitz-Ladik chains." Phys. Lett. A. 302, 163 (2002).
  62. J. Yang, "Internal oscillations and instability characteristics of (2+1) dimensional solitons in a saturable nonlinear medium." Phys. Rev. E. 66, 026601 (2002).
  63. 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).
  64. 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].
  65. 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).
  66. D.E. Pelinovsky and J. Yang, "A normal form for nonlinear resonance of embedded solitons." Proc. Roy. Soc. Lond. A. 458, 1469-1497 (2002).
  67. J. Yang, "Suppression of Manakov-Soliton Interference in Optical Fibers." Phys. Rev. E. 65, 036606 (2002).
  68. J. Yang, "Eigenfunctions of linearized integrable equations expanded around an arbitrary solution." Stud. Appl. Math. 108, 145 (2002).
  69. Z.H. Musslimani and J. Yang, "Transverse instability of strongly coupled dark-bright Manakov vector solitons." Opt. Lett. 26, 1981 (2001).
  70. Y. Tan and J. Yang, "Complexity and regularity of vector-soliton collisions." Phys. Rev. E. 64, 056616 (2001).
  71. Y. Tan and J. Yang, "Resonance and phase induced window sequences in vector soliton collisions." Phys. Lett. A. 288, 309 (2001).
  72. 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).
  73. J. Yang, W.L. Kath and C.R. Menyuk, "Polarization mode dispersion probability distribution for arbitrary distances." Opt. Lett. 26, 1472 (2001).
  74. J. Yang, "Interactions of vector solitons." Phys. Rev. E 64, 026607 (2001).
  75. 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
  76. 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).
  77. Yang, J., ``Dynamics of embedded solitons in the extended KdV equations.'' Stud. Appl. Math. 106, 337 (2001).
  78. J. Yang and Y. Tan, ``Fractal dependence of vector-soliton collisions in birefringent fibers.'' Phys. Lett. A. 280, 129 (2001).
  79. Yang, J., "Structure of linearization operators of the Korteweg-de Vries hieraracy equations expanded around single-soliton solutions." Phys. Lett. A 279, 341 (2001).
  80. Yang, J., "Complete eigenfunctions of linearized integrable equations expanded around a soliton solution". J. Math. Phys. 41, 6614 (2000). Erratum
  81. J. Yang and Y. Tan, ``Fractal structure in the collision of vector solitons.'' Phys. Rev. Lett. 85, 3624 (2000).
  82. Pelinovsky, D.E. and Yang, J., ``Internal Oscillations and radiation damping of Vector Solitons.'' Stud. Appl. Math. 105, 245 (2000).
  83. 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).
  84. 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).
  85. Yang, J., Malomed, B.A., and Kaup, D.J., "Embedded solitons in second-harmonic-generating systems." Phys. Rev. Lett. 83, 1958 (1999). Erratum
  86. Pelinovsky, D.E., Sipe, J.E., and Yang, J., "Generation of soliton oscillations in nonlinear quadratic materials." Phys. Rev. E 59, 7250 (1999).
  87. Yang, J., ``Multisoliton perturbation theory for the Manakov equations and its applications to nonlinear optics.'' Phys. Rev. E. 59, 2393 (1999).
  88. 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).
  89. 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).
  90. Yang, J. "Multiple permanent-wave trains in nonlinear systems." Stud. Appl. Math. 100, 127 (1998).
  91. Yang, J. "Classification of the solitary waves in coupled nonlinear Schroedinger equations." Physica D, 108, 92--112 (1997).
  92. Yang, J. "Vector solitons and their internal oscillations in birefringent nonlinear optical fibers." Stud. Appl. Math. 98, 61-97 (1997).
  93. Yang, J. "Coherent structures in weakly-birefringent nonlinear optical fibers." Stud. Appl. Math. 97, 127-148 (1996).
  94. Yang, J. and Benney, D.J. "Some properties of nonlinear wave systems." Stud. Appl. Math. 96, 111-139 (1996).
  95. Yang, J. "The stability and nonlinear evolution of edge waves." Stud. Appl. Math. 95, 229-246 (1995).
  96. Yang, J. "The sloshing motion of cross-waves." Stud. Appl. Math. 95, 171-191 (1995).
  97. 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).

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