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Soliton and Breather Solutions for the Mixed Nonlinear Schrödinger Equation via -Fold Darboux Transformation

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  • Hui-Qin Hao
  • Jian-Wen Zhang
  • Rui Guo

Abstract

Under investigation in this paper is the mixed nonlinear Schrödinger equation, which describes the propagation of the subpicosecond or femtosecond optical pulse in a monomodal optical fiber. The Darboux transformation is constructed and -times iterative potential formula is presented. Two-soliton and breather solutions are derived on the vanishing and two types of nonvanishing backgrounds: the continuous wave(cw) background and constant background, respectively. The dynamic features of the solitons and breathers are discussed via analytic solutions and graphical illustration.

Suggested Citation

  • Hui-Qin Hao & Jian-Wen Zhang & Rui Guo, 2014. "Soliton and Breather Solutions for the Mixed Nonlinear Schrödinger Equation via -Fold Darboux Transformation," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-7, May.
    • Handle: RePEc:hin:jnljam:348796
    DOI: 10.1155/2014/348796
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