| The residual symmetry,B?cklund transformations,CRE integrability and interaction solutions:(2+1)-dimensional Chaffee-Infante equation |
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| 引用本文： | Nursena Günhan Ay,Emrullah Ya?ar.The residual symmetry,B?cklund transformations,CRE integrability and interaction solutions:(2+1)-dimensional Chaffee-Infante equation[J].理论物理通讯,2023(11):30-37. |
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| 作者姓名： | Nursena Günhan Ay Emrullah Ya?ar |
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| 作者单位： | 1. Department of Mathematics, Faculty of Engineering and Natural Sciences, ?stanbul Medeniyet University;2. Department of Mathematics, Faculty of Arts and Sciences, Uludag University |
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| 摘 要： | In this paper, we consider the(2+1)-dimensional Chaffee–Infante equation, which occurs in the fields of fluid dynamics, high-energy physics, electronic science etc. We build B?cklund transformations and residual symmetries in nonlocal structure using the Painlevé truncated expansion approach. We use a prolonged system to localize these symmetries and establish the associated one-parameter Lie transformation group. In this transformation group, we deliver new exact solution profiles via the combi...
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