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^*

^*此作品的通讯作者

数学科学学院

Ningbo University

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1141-1145
页数	5
期刊	Applied Mathematics and Computation
卷	215
期	3
DOI	https://doi.org/10.1016/j.amc.2009.06.049
出版状态	已出版 - 1 10月 2009

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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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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

UR - https://www.scopus.com/pages/publications/69249218883

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

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