{"title":"具有完全科里奥利参数的扩展演化方程的波-波相互作用","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":"{\"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}","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}
Wave–wave interaction of an extended evolution equation with complete Coriolis parameters
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.
期刊介绍：
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.
The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.
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