Symmetry Analysis of Two Types of (2+1)-Dimensional NonlinearKlein-Gorden Equation |
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| Authors: | HU Xiao-Rui and CHEN Yong |
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| Affiliation: | 1.Nonlinear Science Center and Department of Mathematics, Ningbo; University, Ningbo 315211, China;2.Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China |
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| Abstract: | By means of the classical symmetry method, we investigate two types of the (2+1)-dimensional nonlinear Klein-Gorden equation. For the wave equation, we give out its symmetry group analysis in detail. For the second type of the (2+1)-dimensional nonlinear Klein-Gorden equation, an optimal system of its one-dimensional subalgebras is constructed and some corresponding two-dimensional symmetry reductions are obtained. |
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| Keywords: | Klein-Gorden equation group invariant solutions |
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