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

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-03-01 DOI:10.1016/j.aml.2025.109524

Meng-Chu Wei, Xiao-Yong Wen

引用次数: 0

Abstract

This study concentrates on exact solutions on the Jacobian elliptic function periodic background to the variable-coefficient nonlinear Schrödinger (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.

查看原文本刊更多论文

雅各布椭圆函数周期背景上可变系数非线性薛定谔方程的呼吸波和流氓波解决方案

本研究集中于变系数非线性薛定谔方程（vcNLS）在雅各布椭圆函数周期背景上的精确解。通过构建 Lax 对的新特征值解，并利用 vcNLS 方程的已知达布变换 (DT)，揭示了雅各布椭圆函数背景上的呼吸波和流氓波 (RW) 结构。通过改变方程中的可变系数，我们以图形方式讨论了一些新颖的局部波结构。这封信提出的结果将为解决变系数非线性方程复杂种子背景上的局部波提供宝贵的理论支持。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.