正弦-戈登方程的爆炸孤子

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED Applied Mathematics Letters Pub Date : 2024-09-19 DOI:10.1016/j.aml.2024.109314

Shuzhi Liu , Deqin Qiu

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引用次数: 0

摘要

本文通过达尔布变换研究了霍多图等效短脉冲（HESP）方程，我们从 "种子 "解中推导出了孤子和正子解，然后，当时间 T 足够大时，分析给出了低阶正子分解为单孤子的过程。作为一项引人注目的新成果，我们从霍多图等效短脉冲方程中得到了正弦-戈登（SG）方程的爆炸孤子和正子解。

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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The exploding solitons of the sine–Gordon equation

In this paper, the hodograph equivalent short pulse (HESP) equations are investigated via the Darboux transformation, we derive the soliton and positon solutions from the “seed” solutions, and then, the decomposition of the lower-order positons into single-solitons is given analytically when time

T

is sufficiently large. As a notable new result, we obtain the exploding soliton and positon solutions of the sine–Gordon (SG) equation from the hodograph equivalent short pulse equations.

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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.