Higher-Order Soliton Solutions for the Derivative Nonlinear Schrödinger Equation via Improved Riemann-Hilbert Method

被引：0

作者：

Kuang, Yonghui ^{[1
]}

Tian, Lixin ^{[2
]}

机构：

[1] Zhongyuan Univ Technol, Sch Math & Informat Sci, Zhengzhou 450007, Peoples R China

[2] Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Jiangsu, Peoples R China

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2024年 / 31卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Riemann-Hilbert problem; Inverse scattering transform; Higher-order soliton; The derivative nonlinear Schr & ouml; dinger equation; Residue condition; MULTIPLE-POLE SOLUTIONS; SCHRODINGER-EQUATION; EVOLUTION-EQUATIONS; WAVES;

D O I：

10.1007/s44198-024-00228-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss an improved Riemann-Hilbert method, by which arbitrary higher-order soliton solutions for the derivative nonlinear Schr & ouml;dinger equation can be directly obtained. The explicit determinant form of a higher-order soliton which corresponds to one pth order pole is given. Besides the interaction related to one simple pole and the other one double pole is considered.

引用

页数：15

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