相关Camassa-Holm方程拟周期波解的双线性Bäcklund变换方法

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-06-30 DOI:10.1016/j.aml.2025.109671

Wanting Tang , Hui Wang , Yunhu Wang

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引用次数: 0

摘要

本文基于双线性Bäcklund变换和Riemann函数构造了相关Camassa-Holm方程的拟周期波解。研究了不同参数条件下单周期波和双周期波的动态特性。通过渐近性质建立了周期波解与相应孤子解之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Bilinear Bäcklund transformation method to the quasi-periodic wave solutions of the associated Camassa–Holm equation

In this paper, we construct the quasi-periodic wave solutions of the associated Camassa–Holm equation based on the bilinear Bäcklund transformation and Riemann theta function. We demonstrate that the dynamic characteristics of the one- and two-periodic waves under different parameter conditions. The relations between the periodic wave solutions and the corresponding soliton solutions are established through the asymptotic properties.

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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.