An exact periodic solution of the semi-discrete ‘long wave-short wave’ resonance equation

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-06-24 DOI:10.1016/j.aml.2025.109656

H.M. Yin, K.W. Chow

引用次数: 0

Abstract

One resonance in a dispersive wave system is governed by a set of coupled partial differential equations, relating the complex-valued short wave envelope and a real-valued long wave component. A semi-discrete form proposed recently, continuous in time but discrete in space, possesses soliton solutions. Extension to the periodic case is accomplished here by employing theta function identities and the Hirota bilinear method.

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半离散“长波-短波”共振方程的精确周期解

色散波系统中的一个共振是由一组耦合的偏微分方程控制的，这些方程与复值短波包络和实值长波分量有关。最近提出的一种半离散形式，在时间上连续但在空间上离散，具有孤子解。对周期情况的推广是通过函数恒等式和Hirota双线性方法完成的。

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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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.