Two-dimensional symmetry reduction of (2 + 1)-dimensional nonlinear Klein-Gordon equation

Xiao Rui Hu; Yong Chen

doi:10.1016/j.amc.2009.06.049

Two-dimensional symmetry reduction of (2 + 1)-dimensional nonlinear Klein-Gordon equation

Xiao Rui Hu, Yong Chen^*

^*Corresponding author for this work

School of Mathematical Sciences

Ningbo University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	1141-1145
Number of pages	5
Journal	Applied Mathematics and Computation
Volume	215
Issue number	3
DOIs	https://doi.org/10.1016/j.amc.2009.06.049
State	Published - 1 Oct 2009

Keywords

Adjoint representation
Group invariant solutions
Optimal system
Symmetry

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10.1016/j.amc.2009.06.049

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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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AU - Chen, Yong

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N2 - 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.

AB - 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.

KW - Adjoint representation

KW - Group invariant solutions

KW - Optimal system

KW - Symmetry

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DO - 10.1016/j.amc.2009.06.049

M3 - 文章

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

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ER -

Two-dimensional symmetry reduction of (2 + 1)-dimensional nonlinear Klein-Gordon equation

Abstract

Keywords

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