{"title":"Novel soliton molecule solutions for the second extend (3+1)-dimensional Jimbo–Miwa equation in fluid mechanics","authors":"Hongcai Ma, Xiaoyu Chen, Aiping Deng","doi":"10.1088/1572-9494/ad0960","DOIUrl":null,"url":null,"abstract":"Abstract The main aim of this paper is to investigate the different types of soliton molecule solutions of the second extend (3+1)-dimensional Jimbo-Miwa quation in a fluid. Four different localized waves: line solitons, breather waves, lump solutions and resonance Y-type solutions are obtained by the Hirota bilinear method directly. Furthermore, the molecule solutions consisting of only line waves, breathers or lump waves are generated by combining velocity resonance condition and long wave limit method. Also the molecule solutions such as line-breather molecule, lump-line molecule, lump-breather molecule etc.consisting of different waves are derived.
 Meanwhile, higher-order molecule solutions composed of only line waves are accquired. All of the above findings can be used to explain some natural phenomena in the ocean waves and nonlinear optics.","PeriodicalId":10641,"journal":{"name":"Communications in Theoretical Physics","volume":"4 5","pages":"0"},"PeriodicalIF":2.4000,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Theoretical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/1572-9494/ad0960","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
Abstract The main aim of this paper is to investigate the different types of soliton molecule solutions of the second extend (3+1)-dimensional Jimbo-Miwa quation in a fluid. Four different localized waves: line solitons, breather waves, lump solutions and resonance Y-type solutions are obtained by the Hirota bilinear method directly. Furthermore, the molecule solutions consisting of only line waves, breathers or lump waves are generated by combining velocity resonance condition and long wave limit method. Also the molecule solutions such as line-breather molecule, lump-line molecule, lump-breather molecule etc.consisting of different waves are derived.
 Meanwhile, higher-order molecule solutions composed of only line waves are accquired. All of the above findings can be used to explain some natural phenomena in the ocean waves and nonlinear optics.
期刊介绍：
Communications in Theoretical Physics is devoted to reporting important new developments in the area of theoretical physics. Papers cover the fields of:
mathematical physics
quantum physics and quantum information
particle physics and quantum field theory
nuclear physics
gravitation theory, astrophysics and cosmology
atomic, molecular, optics (AMO) and plasma physics, chemical physics
statistical physics, soft matter and biophysics
condensed matter theory
others
Certain new interdisciplinary subjects are also incorporated.
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