混合耦合非线性Schrödinger方程的Riemann-Hilbert方法及其孤子解

Q4 Engineering

中国科学技术大学学报 Pub Date : 2021-01-01 DOI:10.52396/just-2021-0059

Beibei Hu, Zhang Ling, Fangxin Fang, Zhang Ning

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引用次数: 0

摘要

研究了描述光脉冲在双折射光纤中传输的可积混合耦合非线性Schrödinger (MCNLS)方程。利用Riemann-Hilbert (RH)方法，当构造的RH问题的跳跃矩阵为3×3单位矩阵时，MCNLS方程的n孤子解可以显式地表示出来。作为一个特殊的例子，明确地给出了单孤子和双孤子的表达式。更一般地，作为推广，讨论了一类可积广义多分量NLS系统及其线性谱问题。

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Riemann-Hilbert approach for a mixed coupled nonlinear Schrödinger equations and its soliton solutions

The integrable mixed coupled nonlinear Schrödinger (MCNLS) equations is studied, which describes the propagation of an optical pulse in a birefringent optical fiber. By the Riemann-Hilbert (RH) approach, the N-soliton solutions of the MCNLS equations can be expressed explicitly when the jump matrix of a constructed RH problem is a 3×3 unit matrix. As a special example, the expression of one soliton and two solitons are displayed explicitly. More generally, as a promotion, an integrable generalized multi-component NLS system with its linear spectral problem is discussed.

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来源期刊

中国科学技术大学学报 Engineering-Mechanical Engineering

CiteScore

0.40

自引率

0.00%

发文量

5692

期刊介绍： JUSTC is the multidisciplinary flagship journal of University of Science and Technology of China. Aiming at presenting highly selective articles in the world (upper 20% in any specific subject area). JUSTC considers and publishes article types of Research Articles, Reviews, Letters, and Perspectives. All articles are available as open access immediately upon publication at no cost to contributing authors.