{"title":"Multi-soliton solutions and soliton molecules of the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation for the incompressible fluid","authors":"Kang-Jia Wang, Feng Shi","doi":"10.1209/0295-5075/ad219d","DOIUrl":null,"url":null,"abstract":"\n The (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation (BLMPE) is explored in this letter. The multi-soliton solutions (MSSs) are probed via the Hirota bilinear form that is extracted by taking advantage of the Cole-Hopf transform. The soliton molecules (SMs) on the different planes such as the (x,y)-,(x,t)- and (y,t)- planes are investigated via assigning the velocity resonance mechanisms to the MSSs. The dynamic characteristics of the results are also unveiled graphically to show the corresponding physical behaviors.","PeriodicalId":503117,"journal":{"name":"Europhysics Letters","volume":"141 41","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Europhysics Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1209/0295-5075/ad219d","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation (BLMPE) is explored in this letter. The multi-soliton solutions (MSSs) are probed via the Hirota bilinear form that is extracted by taking advantage of the Cole-Hopf transform. The soliton molecules (SMs) on the different planes such as the (x,y)-,(x,t)- and (y,t)- planes are investigated via assigning the velocity resonance mechanisms to the MSSs. The dynamic characteristics of the results are also unveiled graphically to show the corresponding physical behaviors.
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