Lie symmetry analysis, optimal system and conservation laws of a new(2+1)-dimensional KdV system

被引:0
作者
Mengmeng Wang [1 ]
Shoufeng Shen [1 ]
Lizhen Wang [2 ]
机构
[1] Department of Applied Mathematics, Zhejiang University of Technology
[2] Center for Nonlinear Studies, School of Mathematics, Northwest University
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中图分类号
O175 [微分方程、积分方程];
学科分类号
070104 ;
摘要
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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页码:43 / 51
页数:9
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