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利用改进的CK直接方法,求出了(3+1)-维非线性发展方程的一般对称群、李对称及其对应的向量场,建立了方程新旧解之间的关系,同时由旧解得到了方程的许多新的精确解.由于对称和守恒律之间有密切的关系,同时找到了此方程的无穷多守恒律.

参考文献

[1] Geng Xianguo,Ma Yunling.N-soliton solution and its wronskian form of a (3+1)-dimensionai nonlinear evolution equation[J].Phys.Lett.A,2007,369:285-289.
[2] Geng Xianguo.Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations[J].Phys.A:Math.Gen.,2003,36:2289-2303.
[3] Ma Hongcai.A simple method to generate Lie point symmetry groups of the (3+1)-dimensionai jimbo-miwa equation[J].Chin.Phys.Lett.,2005,22:554-557.
[4] Zhang Lihua,Liu Xiqiang.New exact solutions and conservation laws to the (3+1)-dimensionai potentiai-YTSF equation[J].Commun.Theor.Phys.,2006,45:487-492.
[5] Wang Ling,Liu Xiqiang,Dong Zhongzhou.Study of the (2+1)-dimensional higher-Order broer-kaup system[J].Commun.Theor.Phys.,2007,43:403-408.
[6] Zhang Lihua,Liu Xiqiang,Bal Chenglin:Symmetry groups and new exact solutions to (2+1)-dimensionai variable coefficient canonical generalized KP equation[J].Commun.Theor.Phys.,2007,48:405-410.
[7] Lou Senyue,Ma Hongcai.Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method[J].J.Phys.A:Math.Gen.,2005,38:129-137.
[8] Dong Zhongzhou.et al.Exact travelling wave solutions of nonlinear coupled KdV equations[J].Chinese Journal of Quantum Electromics (量子电子学报),2006,23(3):379-382 (in Chinese).
[9] Tian Guichen.Liu Xiqiang.Exact solutions of the general variable coefficient KdV equation with external force term[J].Chinese Journal of Quantum Eleetromics (量子电子学报),2005,22(3):339-343 (in Chinese).
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