Integrable Systems and Soliton Perturbation Theory


  1. 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)).
  2. 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).
  3. J. Yang, Nonlinear Waves in Integrable and Nonintegrable Systems (SIAM, Philadelphia, 2010). Erratum
  4. D. Wang, D. Zhang and J. Yang, "Integrable Properties of the General Coupled Nonlinear Schroedinger Equations", J. Math. Phys. 51, 023510 (2010).
  5. 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).
  6. J. Yang and D.J. Kaup, "Squared Eigenfunctions for the Sasa-Satsuma Equation", J. Math. Phys. 50, 023504 (2009).
  7. E.V. Doktorov, J. Wang, and J. Yang, "Perturbation theory for bright spinor Bose--Einstein condensate solitons", Phys. Rev. A. 77, 043617 (2008).
  8. 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).
  9. (Invited) J. Yang and X. Chen, "Linearization operators of solitons in the derivative nonlinear Schroedinger hierarchy." In book "Trends in Soliton Research", pp 15-27, Editor L.V. Chen, Nova Publishers, 2006.
  10. V.S. Shchesnovich and J. Yang, "General soliton matrices in the Riemann-Hilbert problem for integrable nonlinear equations." J. Math. Phys. 44, 4604 (2003).
  11. V.S. Shchesnovich and J. Yang, "Higher-order solitons in the N-wave system." Stud. Appl. Math. 110, 297 (2003).
  12. J. Yang, "Stable embedded solitons." Phys. Rev. Lett. 91, 143903 (2003).
  13. 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].
  14. J. Yang, "Suppression of Manakov-Soliton Interference in Optical Fibers." Phys. Rev. E. 65, 036606 (2002).
  15. J. Yang, ``Eigenfunctions of linearized integrable equations expanded around an arbitrary solution.'' Stud. Appl. Math. 108, 145 (2002).
  16. 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).
  17. Yang, J., ``Dynamics of embedded solitons in the extended KdV equations.'' Stud. Appl. Math. 106, 337 (2001).
  18. Yang, J., "Structure of linearization operators of the Korteweg-de Vries hieraracy equations expanded around single-soliton solutions." Phys. Lett. A 279, 341 (2001).
  19. Yang, J., "Complete eigenfunctions of linearized integrable equations expanded around a soliton solution". J. Math. Phys. 41, 6614 (2000). Erratum
  20. 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).
  21. Yang, J., ``Multisoliton perturbation theory for the Manakov equations and its applications to nonlinear optics.'' Phys. Rev. E. 59, 2393 (1999).

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