{"title":"Wave–wave interaction of an extended evolution equation with complete Coriolis parameters","authors":"Na Cao, XiaoJun Yin, LiYang Xu, ShuTing Bai","doi":"10.1140/epjp/s13360-023-04288-4","DOIUrl":null,"url":null,"abstract":"<div><p>An extended evolution equation is studied by means of Hirota bilinear method in this article, and it is gained from local Cartesian coordinate system of the basic equation group by applying scaling analysis and perturbation expansions. Firstly, the equation is transformed into Hirota form by variable transformation. Secondly, based on Hirota equation, we obtained the soliton, breather, rogue wave and interaction solutions of the equation. At last, figures of these solutions and the interaction of wave–wave are showed by choosing appropriate parameters. The effects of the horizontal Coriolis parameter on the soliton, breather, rogue wave, interaction solutions are conducted. We believe that the results have significant impaction in ocean dynamics.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"138 8","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2023-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-023-04288-4","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: 1
Abstract
An extended evolution equation is studied by means of Hirota bilinear method in this article, and it is gained from local Cartesian coordinate system of the basic equation group by applying scaling analysis and perturbation expansions. Firstly, the equation is transformed into Hirota form by variable transformation. Secondly, based on Hirota equation, we obtained the soliton, breather, rogue wave and interaction solutions of the equation. At last, figures of these solutions and the interaction of wave–wave are showed by choosing appropriate parameters. The effects of the horizontal Coriolis parameter on the soliton, breather, rogue wave, interaction solutions are conducted. We believe that the results have significant impaction in ocean dynamics.
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The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences.
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