{"title":"不可压缩流体的 (2+1)-dimensional Boiti-Leonon-Manna-Pempinelli 方程的多孤子解和孤子分子","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":"{\"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}","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}
Multi-soliton solutions and soliton molecules of the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation for the incompressible fluid
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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