Two-dimensional symmetry reduction of (2 + 1)-dimensional nonlinear Klein–Gordon equation |
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| Authors: | Xiao-Rui Hu Yong Chen |
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| Institution: | aNonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China;bShanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China |
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| Abstract: | In this paper, one-dimensional optimal system of group invariant solutions of (2 + 1)-dimensional Klein–Gordon system is constructed. Then the classification of group invariant solutions is given out and the corresponding two-dimensional symmetry reduced equations are obtained. At last some symmetry transformations are gained in detail. Especially, we obtain the most general solution from a given solution by use of six variable one-parameter subgroups transformations. |
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| Keywords: | Symmetry Group invariant solutions Optimal system Adjoint representation |
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