Lie point symmetry and some new soliton-like solutions of the Konopelchenko–Dubrovsky equations
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摘要
In this paper, the infinite-dimensional symmetry groups of the (2+1)-dimensional Konopelchenko–Dubrovsky (KD) equation is found by the classical Lie group method. The symmetry groups are used to perform symmetry reduction and together with tanh function method we obtain soliton-like solutions. Moreover, a characterization of the corresponding Lie algebra is given.
论文关键词:Konopelchenko–Dubrovsky equations,Classical Lie group approach,Symmetry reduction,Invariant solution
论文评审过程:Available online 24 May 2008.
论文官网地址:https://doi.org/10.1016/j.amc.2008.05.090