Some New Lie Symmetry Groups of Differential-Difference Equations Obtained from a Simple Direct Method |
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Authors: | ZHI Hong-Yan |
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Institution: | School of Mathematics and Computational Sciences, China University of Petroleum (East China), Dongying 257061, China |
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Abstract: | In this paper, based on the symbolic computing system Maple, the direct method for Lie symmetry groups presented by Sen-Yue Lou J. Phys. A: Math. Gen. 38 (2005) L129] is extended from the continuous differential equations to the differential-difference equations. With the extended method, we study the well-known differential-difference KP equation, KZ equation and (2+1)-dimensional ANNV system, and both the Lie point symmetry groups and the non-Lie symmetry groups are obtained. |
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Keywords: | symmetry group differential-difference equation direct method |
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