Limit solutions of loop solitons for a compound WKI-SP equation

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-01-06 DOI:10.1016/j.aml.2024.109452

Gaizhu Qu, Junyang Zhang, Xiaorui Hu, Shoufeng Shen

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引用次数: 0

Abstract

We characterize the limit solutions of loop solitons for an integrable compound equation which is a mix of the Wadati-Konno-Ichikawa (WKI) equation and the short-pulse (SP) equation. We do so by taking an ingenious limit on the τ-function derived from Hirota’s bilinear equations of the mKdV-SG (modified Korteweg–de Vries and sine-Gordon) equation. By virtue of a hodograph transformation, we compute the limit solution of 2-loop (noted as L2−loop) soliton and discuss the interactions between two L2−loop solitons in detail. One singlevalued and two nonsinglevalued limit solutions of 2-breather solution are presented at last.

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一类复合WKI-SP方程环孤子的极限解

本文刻画了wadati - kono - ichikawa （WKI）方程与短脉冲（SP）方程混合的可积复合方程的环孤子极限解。我们通过对Hirota的mKdV-SG（修正的Korteweg-de Vries和sin - gordon）方程的双线性方程推导出的τ-函数取一个巧妙的极限来做到这一点。利用一种全息变换，我们计算了2环（称为L2 -环）孤子的极限解，并详细讨论了两个L2 -环孤子之间的相互作用。最后给出了2-呼吸解的一个单值极限解和两个非单值极限解。

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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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.