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A Maple Package to Compute Lie Symmetry Groups and Symmetry Reductions of (1+1)-Dimensional Nonlinear Systems |
| YAO Ruo-Xia1,2;LOU Sen-Yue 1,3 |
| 1Department of Physics, Shanghai Jiao Tong University, Shanghai 2000622School of Computer Science, Shaanxi Normal University, Xi'an 7100623Department of Physics, Ningbo University, Ningbo 315211 |
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YAO Ruo-Xia, LOU Sen-Yue 2008 Chin. Phys. Lett. 25 1927-1930 |
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Abstract Armed with the computer algebra system Maple, using a direct algebraic substitution method, we obtain Lie point symmetries, Lie symmetry groups and the corresponding symmetry reductions of one component nonlinear integrable and nonintegrable equations only by clicking the `Enter' key. Abundant (1+1)-dimensional nonlinear mathematical physical systems are
analysed effectively by using a Maple package LieSYMGRP proposed by us.
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| Keywords:
02.20.-a
02.30.Jr
02.70.-c
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Received: 20 December 2007
Published: 31 May 2008
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| PACS: |
02.20.-a
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(Group theory)
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02.30.Jr
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(Partial differential equations)
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02.70.-c
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(Computational techniques; simulations)
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