The soliton solutions for the higher-order nonlinear Schrödinger equation with nonzero boundary conditions: Riemann-Hilbert method

被引：0

作者：

Wang, Yuxia ^{[1
]}

Huang, Lin ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 02期

基金：

中国国家自然科学基金;

关键词：

generalized NLS equation; N-soliton solutions; nonzero boundary condition; Riemann-Hilbert approach; BRIGHT;

D O I：

10.1002/mma.10430

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper explores the Riemann-Hilbert method for deriving exact N-soliton solutions of the sixth-order nonlinear Schr & ouml;dinger (6th-NLS) equation with nonzero boundary condition. The analytical process comprises three fundamental steps. First, transformations are used to simplify the nonzero boundaries. Next, the inverse scattering method establishes a crucial link between the solutions of the 6th-NLS equation and the corresponding Riemann-Hilbert problem. Finally, this Riemann-Hilbert problem is systematically solved. Additionally, selected parameter values in the solutions generate graphical representations, vividly illustrating the solutions to the 6th-NLS equation.

引用

页码：2179 / 2193

页数：15

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