{"title":"Multiple soliton solutions and other scientific solutions for a new Painlevé integrable fifth-order equation","authors":"Abdul-Majid Wazwaz","doi":"10.1016/j.chaos.2025.116307","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116307"},"PeriodicalIF":5.6000,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos Solitons & Fractals","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0960077925003200","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/4/7 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
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.
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.
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