A symmetry-preserving difference scheme for high dimensional nonlinear evolution equations |
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| Affiliation: | Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China |
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| Abstract: | 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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| Keywords: | symmetry-preserving potential systems difference equation Lie point symmetry |
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