New type of solutions for the modified Korteweg–de Vries equation

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-08-30 DOI:10.1016/j.aml.2024.109288

引用次数: 0

Abstract

In this letter we report a new type of multi-soliton solutions for the modified Korteweg–de Vries (mKdV) equation. These solutions contain $τ$ functions of the trigonometric solitons and classical solitons simultaneously. A new bilinear form of the mKdV equation is introduced to derive these solutions. The obtained solutions display as solitons living on a periodic background, which are analyzed and illustrated.

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修正的科特韦格-德-弗里斯方程的新型解决方案

在这封信中，我们报告了修正的 Korteweg-de Vries（mKdV）方程的一种新型多孤子解。这些解同时包含三角孤子和经典孤子的 τ 函数。为了得出这些解，引入了 mKdV 方程的一种新的双线性形式。得到的解显示为生活在周期背景上的孤子，并对其进行了分析和说明。

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.