On the Riemann-Hilbert problem of the Kundu equation

被引：26

作者：

Hu, Beibei ^{[1
,2
]}

Zhang, Ling ^{[1
]}

Xia, Tiecheng ^{[2
]}

Zhang, Ning ^{[3
]}

机构：

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

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

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 381卷

关键词：

Kundu equation; Initial-boundary value problem; Spectral functions; Riemann-Hilbert problem; Fokas method; NONLINEAR SCHRODINGER-EQUATION; BOUNDARY VALUE-PROBLEMS; GERDJIKOV-IVANOV EQUATION; DE-VRIES EQUATION; EVOLUTION-EQUATIONS; WAVE SOLUTIONS;

D O I：

10.1016/j.amc.2020.125262

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Kundu equation as a special case of the complex Ginzburg-Landau equation can be used to describe a slice of phenomena in physics and mechanics. In this paper, we analyzed the Kundu equation on the half-line by the Fokas method and proved that the potential function u (z, t ) of the Kundu equation can be uniquely expressed by the solution of Riemann-Hilbert (RH) problem. It also includes the RH problem of the derivative nonlinear Schrodinger equation (also known as Kaup-Newell equation) (if epsilon = 0 ), Chen-Lee-Liu equation (if epsilon = 1/4 ) and Gerjikov-Ivanov equation (if epsilon = 1/2 ) on the half-line. (c) 2020 Elsevier Inc. All rights reserved.

引用

页数：14

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