Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects
Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects
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DOI：
10.1016/j.amc.2013.12.057
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发表时间：
2014-02
期刊：
影响因子：
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通讯作者：
Deng‐Shan Wang;Shujuan Yin;Ye Tian;Yifang Liu
中科院分区：
文献类型：
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作者：
Deng‐Shan Wang;Shujuan Yin;Ye Tian;Yifang Liu
本文研究了由非线性光纤介质引起的具有高阶效应的耦合非线性Schrödinger方程的可积性和精确亮孤子解。首先利用推广技术研究了该方程的Lax可积性，提出了一个可积的广义耦合高阶非线性Schrödinger方程。然后利用Riemann-Hilbert公式得到了该可积方程的一般nbright - bright孤子解，并分析了两个孤子之间的碰撞动力学。最后，给出了一个可积的广义n耦合高阶非线性Schrödinger方程及其线性谱问题。
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 generalNbright–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 generalizedn-coupled higher-order nonlinear Schrödinger equation together with its linear spectral problem are given.