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2014 Soliton and Breather Solutions for the Mixed Nonlinear Schrödinger Equation via N-Fold Darboux Transformation
Hui-Qin Hao, Jian-Wen Zhang, Rui Guo
J. Appl. Math. 2014: 1-7 (2014). DOI: 10.1155/2014/348796

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.

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Hui-Qin Hao. Jian-Wen Zhang. Rui Guo. "Soliton and Breather Solutions for the Mixed Nonlinear Schrödinger Equation via N-Fold Darboux Transformation." J. Appl. Math. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/348796

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131537
MathSciNet: MR3214505
Digital Object Identifier: 10.1155/2014/348796

Rights: Copyright © 2014 Hindawi

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