N-SOLITON SOLUTION OF THE KUNDU-TYPE EQUATION VIA RIEMANN-HILBERT APPROACH

被引：0

作者：

温丽丽 ^{[1
]}

张宁 ^{[2
]}

范恩贵 ^{[1
]}

机构：

[1] School of Mathematical Sciences, Fudan University

[2] Department of Basic Courses, Shandong University of Science and Technology

来源：

ActaMathematicaScientia | 2020年 / 40卷 / 01期

基金：

美国国家科学基金会;

关键词：

the Kundu-type equation; Lax pair; Riemann-Hilbert problem; soliton solution;

D O I：

暂无

中图分类号：

O175.29 [非线性偏微分方程];

学科分类号：

摘要：

In this article, we focus on investigating the Kundu-type equation with zero boundary condition at infinity. Based on the analytical and symmetric properties of eigenfunctions and spectral matrix of its Lax pair, a Riemann-Hilbert problem for the initial value problem of the Kundu-type equation is constructed. Further through solving the regular and nonregular Riemann-Hilbert problem, a kind of general N-soliton solution of the Kundu-type equation are presented. As special cases of this result, the N-soliton solution of the Kaup-Newell equation, Chen-Lee-Liu equation, and Gerjikov-Ivanov equation can be obtained respectively by choosing different parameters.

引用

页码：113 / 126

页数：14

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