{"title":"(4+1)维分数阶Boiti-Leon-Manna-Pempinelli方程的新精确解","authors":"M. Torvattanabun, Theeranon Thawila","doi":"10.37622/adsa/16.1.2021.237-255","DOIUrl":null,"url":null,"abstract":"In this paper,we introduce a new the (4+1)-dimensional fractional Boiti-Leon-Manna-Pempinelli equation. The fractional ( m+ G ′ G ) extension method is successfully applied to establish the exact solutions for the the (4+1)-dimensional fractional Boiti-Leon-Manna-Pempinelli equation. The fractional derivative version of Yang modified, linked with fractional complex transform is employed to reduce fractional differential equations into the corresponding ordinary differential equations. The results show that the new exact solution are precisely obtained and the efficiency of the methods is demonstrated.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"117 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New Exact Solution of The (4+1)-Dimensional Fractional Boiti-Leon-Manna-Pempinelli Equation by The Expansion Method\",\"authors\":\"M. Torvattanabun, Theeranon Thawila\",\"doi\":\"10.37622/adsa/16.1.2021.237-255\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper,we introduce a new the (4+1)-dimensional fractional Boiti-Leon-Manna-Pempinelli equation. The fractional ( m+ G ′ G ) extension method is successfully applied to establish the exact solutions for the the (4+1)-dimensional fractional Boiti-Leon-Manna-Pempinelli equation. The fractional derivative version of Yang modified, linked with fractional complex transform is employed to reduce fractional differential equations into the corresponding ordinary differential equations. The results show that the new exact solution are precisely obtained and the efficiency of the methods is demonstrated.\",\"PeriodicalId\":36469,\"journal\":{\"name\":\"Advances in Dynamical Systems and Applications\",\"volume\":\"117 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Dynamical Systems and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37622/adsa/16.1.2021.237-255\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Dynamical Systems and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37622/adsa/16.1.2021.237-255","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
摘要
本文引入了一个新的(4+1)维分数阶boit - leon - manna - pempinelli方程。应用分数阶(m+ G’G)扩展方法,成功地建立了(4+1)维分数阶boit - leon - manna - pempinelli方程的精确解。利用杨氏修正的分数阶导数形式,结合分数阶复变换,将分数阶微分方程化为相应的常微分方程。结果表明,新的精确解得到了精确解,证明了方法的有效性。
New Exact Solution of The (4+1)-Dimensional Fractional Boiti-Leon-Manna-Pempinelli Equation by The Expansion Method
In this paper,we introduce a new the (4+1)-dimensional fractional Boiti-Leon-Manna-Pempinelli equation. The fractional ( m+ G ′ G ) extension method is successfully applied to establish the exact solutions for the the (4+1)-dimensional fractional Boiti-Leon-Manna-Pempinelli equation. The fractional derivative version of Yang modified, linked with fractional complex transform is employed to reduce fractional differential equations into the corresponding ordinary differential equations. The results show that the new exact solution are precisely obtained and the efficiency of the methods is demonstrated.