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.
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页数：15
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