Breather and rogue wave solutions for the variable coefficient nonlinear Schrödinger equation on Jacobian elliptic function periodic backgrounds

被引：0

作者：

Wei, Meng-Chu ^{[1
]}

Wen, Xiao-Yong ^{[1
]}

机构：

[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2025年 / 166卷

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

Variable coefficient nonlinear Schr & ouml; dinger equation; Breather solutions; Rogue wave solutions; Jacobian elliptic function; SCHRODINGER-EQUATION; SOLITON-SOLUTIONS;

D O I：

10.1016/j.aml.2025.109524

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study concentrates on exact solutions on the Jacobian elliptic function periodic background to the variable-coefficient nonlinear Schr & ouml;dinger (vcNLS) equation. Through constructing the new eigenvalue solution for Lax pair and using the known Darboux transformation (DT) of vcNLS equation, the breather and rogue wave (RW) structures on Jacobian elliptic function backgrounds are revealed. By changing the variable coefficients in the equation, some novel localized wave structures are discussed graphically. The results presented in this letter will provide a valuable theoretical support for solving localized waves on the complicated seed background of variable coefficient nonlinear equations.

引用

页数：6

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