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Symmetry reductions and explicit solutions of a (3 + 1)-dimensional PDE |
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| Authors: | Jianqin Mei Hongqing Zhang |
| Affiliation: | a Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, PR China b Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, PR China |
| Abstract: | The symmetry of the (3 + 1)-dimensional partial differential equation has been derived via a direct symmetry method and proved to be infinite dimensional non-Virasoro type symmetry algebra. Many kinds of symmetry reductions have been obtained, including the (2 + 1)-dimensional ANNV equation and breaking soliton equation. And some new soliton solutions and complex solutions are obtained due to the Riccati equation method and symbolic computation. |
| Keywords: | Symmetry reduction Lie algebra Jimbo-Miwa equation Soliton solution |
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