Multiple soliton solutions and other scientific solutions for a new Painlevé integrable fifth-order equation

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2025-04-07 DOI:10.1016/j.chaos.2025.116307

Abdul-Majid Wazwaz

引用次数: 0

Abstract

In this work, we introduce a new Painlevé integrable fifth–order equation. We employ the Painlevé integrability test to examine the compatibility conditions for this newly established system. We use the dispersion relation, the phase shift, and the Hirota’s method to derive multiple soliton solutions for this equation. We also derive several other solutions of distinct physical structures. The obtained results enrich the KdV system and explore valuable analysis for the solitary wave phenomena.

查看原文本刊更多论文

一类新的painlevlev可积五阶方程的多重孤子解及其它科学解

本文引入了一个新的painlevlev可积五阶方程。我们采用painlev可积性检验来检验这个新建立的系统的相容性条件。我们利用色散关系、相移和Hirota的方法推导出该方程的多孤子解。我们还推导了其他几种不同物理结构的解。所得结果丰富了KdV系统，并对孤立波现象进行了有价值的分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.