| (2+1)维非线性Klein-Gordon方程的相似约化 |
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| 引用本文： | 张颖. (2+1)维非线性Klein-Gordon方程的相似约化[J]. 高师理科学刊, 2009, 29(1). DOI: 10.3969/j.issn.1007-9831.2009.01.014 |
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| 作者姓名： | 张颖 |
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| 作者单位： | 西北大学,数学系,陕西,西安,710127 |
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| 摘 要： | 利用古典李点对称群方法研究了(2+1)维非线性Klein-Gordon方程,构建了(2+1)维Klein-Gordon方程的一维最优系统,并利用所构建的最优系统的元素对该非线性方程进行相似约化,有效地将原方程降低了一维.
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| 关 键 词： | 李点对称群 最优系统 伴随表达式 Klein-Gordon方程 |
Similarity reduction of (2+1)-dimensional nonlinear Klein-Gordon equations |
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| ZHANG Ying. Similarity reduction of (2+1)-dimensional nonlinear Klein-Gordon equations[J]. Journal of Science of Teachers＇College and University, 2009, 29(1). DOI: 10.3969/j.issn.1007-9831.2009.01.014 |
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| Authors: | ZHANG Ying |
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| Affiliation: | Department of Mathematics;Northwest University;Xi'an 710127;China |
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| Abstract: | Studied the(2+1)-dimensional nonlinear Klein-Gordon equations by using of the Lie group of symmetry,obtained it's one-dimensional optimal system.Also emploied elements of the optimal system to classify the Klein-Gordon equations,it can reduce the dimension of nonlinear Klein-Gordon equations |
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| Keywords: | Lie group of symmetry optimal system adjoint representation Klein-Gordon equation |
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