{"title":"On an extended semi-discrete matrix coupled dispersionless system: Darboux transformation and explicit solutions","authors":"H.W.A. Riaz , J. Lin , J. Wang","doi":"10.1016/j.physleta.2024.130060","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we present an extended semi-discrete matrix coupled dispersionless system, building on the framework explored in [Appl. Math. Lett. 158 (2024) 109217]. We propose a Lax pair and employ the Darboux transformation to construct explicit solutions. These solutions reveal diverse phenomena, including periodic patterns, breathers, and rogue waves. Notably, the extended system exhibits intricate interactions between bright and dark solitons and between bright solitons and rogue waves. Furthermore, we provide a numerical experiment for the reduced semi-discrete coupled dispersionless equations to demonstrate the effectiveness of the developed method.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"528 ","pages":"Article 130060"},"PeriodicalIF":2.3000,"publicationDate":"2024-11-15","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/S0375960124007540","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}
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Abstract
In this paper, we present an extended semi-discrete matrix coupled dispersionless system, building on the framework explored in [Appl. Math. Lett. 158 (2024) 109217]. We propose a Lax pair and employ the Darboux transformation to construct explicit solutions. These solutions reveal diverse phenomena, including periodic patterns, breathers, and rogue waves. Notably, the extended system exhibits intricate interactions between bright and dark solitons and between bright solitons and rogue waves. Furthermore, we provide a numerical experiment for the reduced semi-discrete coupled dispersionless equations to demonstrate the effectiveness of the developed method.
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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.
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