Separation of Variables and Exact Solutions of Generalized Nonlinear Klein-Gordon Equations.
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- Changzheng Qu
- Department of Mathematics, Northwest University, Xi'an, 710069, P. R. China
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- Wenli He
- Institute of Modern Physics, Northwest University, Xi'an, 710069, P. R. China
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- Jihong Dou
- Department of Mathematics, Northwest University, Xi'an, 710069, P. R. China
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説明
In this paper, the generalized conditional symmetry approach is developed to study the separation of variables for generalized nonlinear Klein-Gordon equations. We derive a complete list of canonical forms for a generalized nonlinear Klein-Gordon equation and a system of generalized nonlinear Klein-Gordon equations that submit to separation of variables in some coordinates. As a result, some exact solutions to the Bullough-Dodd equation, Liouville equation, Sine-Gordon equation and Sinh-Gordon equation are obtained. A symmetry group interpretation of the known results concerning separation of variables with the scalar Klein-Gordon equation is also given.
収録刊行物
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- Progress of Theoretical Physics
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Progress of Theoretical Physics 105 (3), 379-398, 2001
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390001204158333440
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- NII論文ID
- 110001196966
- 210000110680
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- NII書誌ID
- AA00791455
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- BIBCODE
- 2001PThPh.105..379C
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- ISSN
- 13474081
- 0033068X
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- MRID
- 1841486
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- NDL書誌ID
- 5814471
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- 使用不可