Lie symmetry analysis,optimal system and conservation laws of a new(2+1)-dimensional KdV system |
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| Authors: | Mengmeng Wang Shoufeng Shen Lizhen Wang |
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| Affiliation: | 1.Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China;2.Center for Nonlinear Studies, School of Mathematics, Northwest University, Xi’an 710127, China |
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| Abstract: | In this paper, Lie point symmetries of a new(2+1)-dimensional KdV system are constructed by using the symbolic computation software Maple. Then, the one-dimensional optimal system,associated with corresponding Lie algebra, is obtained. Moreover, the reduction equations and some explicit solutions based on the optimal system are presented. Finally, the nonlinear selfadjointness is provided and conservation laws of this KdV system are constructed. |
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| Keywords: | Lie point symmetry optimal system symmetry reduction exact solution conservation law |
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