{"title":"Bilinear Bäcklund transformation, Lax pair, Darboux transformation, multi-soliton, periodic wave, complexiton, higher-order breather and rogue wave for geophysical Boussinesq equation","authors":"Nanda Kanan Pal, Snehalata Nasipuri, Prasanta Chatterjee, Santanu Raut","doi":"10.1007/s12043-024-02773-8","DOIUrl":null,"url":null,"abstract":"<div><p>This article describes the bilinear form, biliear Bäcklund transformation and Lax pair of the geophysical Boussinesq equation using the Bell polynomial approach. The integrability of the said equation is asserted in the sense of the Lax pair. The Darboux transformation is employed to produce periodic solutions as well as single and <i>N</i>-complexiton-type solutions. Several steps of the Hirota bilinear technique are used to illustrate the flow characteristics of multi-solitons, higher-order breathers and rogue waves. Every sort of wave dynamics response to the Coriolis force is carefully studied.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"98 3","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pramana","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s12043-024-02773-8","RegionNum":4,"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 article describes the bilinear form, biliear Bäcklund transformation and Lax pair of the geophysical Boussinesq equation using the Bell polynomial approach. The integrability of the said equation is asserted in the sense of the Lax pair. The Darboux transformation is employed to produce periodic solutions as well as single and N-complexiton-type solutions. Several steps of the Hirota bilinear technique are used to illustrate the flow characteristics of multi-solitons, higher-order breathers and rogue waves. Every sort of wave dynamics response to the Coriolis force is carefully studied.
期刊介绍：
Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.
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