Initial-Boundary Value Problems for the Coupled Higher-Order Nonlinear Schrodinger Equations on the Half-line

被引：39

作者：

Hu, Bei-bei ^{[1
,2
]}

Xia, Tie-cheng ^{[1
]}

Zhang, Ning ^{[3
]}

Wang, Jin-bo ^{[4
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Chuzhou Univ, Sch Math & Finance, Chuzhou 239000, Anhui, Peoples R China

[3] Shandong Univ Sci & Technol, Dept Basical Courses, Tai An 271019, Shandong, Peoples R China

[4] Sci & Technol Commun Secur Lab, Chengdu 610041, Sichuan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2018年 / 19卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Riemann-Hilbert problem; CHNLS equations; initial-boundary value problem; unified transform method; SOLITONS; TRANSFORM;

D O I：

10.1515/ijnsns-2017-0080

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this article, we use the unified transform method to analyze the initial-boundary value problem for the coupled higher-order nonlinear Schrodinger equations on the half-line. Suppose that the solution {q(1)(x, t), q(2)(x, t)} exists, we show that it can be expressed in terms of the unique solution of a matrix Riemann-Hilbert problem formulated in the plane of the complex spectral parameter lambda.

引用

页码：83 / 92

页数：10

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