Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects

In this paper, we study the integrability and exact bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects arising from nonlinear fiber medium. Firstly, the Lax integrability of this equation is investigated by prolongation technique and an integrable genera...

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Bibliographic Details
Published in:Applied mathematics and computation 2014-02, Vol.229, p.296-309
Main Authors: Wang, Deng-Shan, Yin, Shujuan, Tian, Ye, Liu, Yifang
Format: Article
Language:English
Subjects:
Bright soliton
Higher-order effects
Integral calculus
Integral equations
Linear spectral problem
Mathematical analysis
Mathematical models
Nonlinearity
Prolongation
Prolongation structure
Riemann–Hilbert formulation
Schroedinger equation
Solitons
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Summary:In this paper, we study the integrability and exact bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects arising from nonlinear fiber medium. Firstly, the Lax integrability of this equation is investigated by prolongation technique and an integrable generalized coupled higher-order nonlinear Schrödinger equation is proposed. Then the general N bright–bright soliton solutions of this integrable equation are obtained by Riemann–Hilbert formulation and the collision dynamics between two solitons is analyzed. Finally, an integrable generalized n-coupled higher-order nonlinear Schrödinger equation together with its linear spectral problem are given.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.12.057