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

Hui-Qin Hao, Jian-Wen Zhang and Rui Guo

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

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 N‐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.

Date: 2014
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https://doi.org/10.1155/2014/348796

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:348796

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