In this paper,a procedure for constructing discrete models of the high dimensional nonlinear evolution equations is presented.In order to construct the difference model,with the aid of the potential system of the original equation and compatibility condition,the difference equations which preserve all Lie point symmetries can be obtained.As an example,invariant difference models of the(2+1)-dimensional Burgers equation are presented.
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机译:A new approach to investigate the nonlinear dynamics in a (3+1)-dimensional nonlinear evolution equation via Wronskian condition with a free function