{"title":"Novel resonant soliton interactions for the Konopelchenko-Dubrovsky equation","authors":"Yu-Qiang Yuan , Xiang Luo , Yan Sun , Lei Liu","doi":"10.1016/j.physleta.2025.130331","DOIUrl":null,"url":null,"abstract":"<div><div>This paper investigates the resonant soliton interactions for the (<span><math><mn>2</mn><mo>+</mo><mn>1</mn></math></span>)-dimensional Konopelchenko-Dubrovsky equation, a model that describes shallow water waves with weak nonlinear restoring forces. Through symbolic computation and asymptotic analysis, we make a comprehensive classification of the resonant interactions between two solitons. Such equation admits both bell-shaped solitons and kink solitons, and allows us to identify four distinct types of resonance interactions, expanding beyond the common two cases. A novel discovery is the resonant interaction between a bell-shaped soliton and a kink soliton, where the bell-shaped soliton transforms into a kink soliton, which has not been reported before. Detailed graphical analyses are presented, providing clear visual representations of the soliton behaviors and their dynamic interactions. The results obtained in this study offer new insights into the complexity of soliton dynamics in higher-dimensional nonlinear systems.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"537 ","pages":"Article 130331"},"PeriodicalIF":2.3000,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0375960125001112","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
This paper investigates the resonant soliton interactions for the ()-dimensional Konopelchenko-Dubrovsky equation, a model that describes shallow water waves with weak nonlinear restoring forces. Through symbolic computation and asymptotic analysis, we make a comprehensive classification of the resonant interactions between two solitons. Such equation admits both bell-shaped solitons and kink solitons, and allows us to identify four distinct types of resonance interactions, expanding beyond the common two cases. A novel discovery is the resonant interaction between a bell-shaped soliton and a kink soliton, where the bell-shaped soliton transforms into a kink soliton, which has not been reported before. Detailed graphical analyses are presented, providing clear visual representations of the soliton behaviors and their dynamic interactions. The results obtained in this study offer new insights into the complexity of soliton dynamics in higher-dimensional nonlinear systems.
期刊介绍:
Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.