Separation of Variables and Exact Solutions of Generalized Nonlinear Klein-Gordon Equations

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概要

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• 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 com-plete 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.

• 理論物理学刊行会の論文
• 2001-03-25

著者

• CHANGZHENG Qu

  Department of Mathematics, Northwest University

• WENLI He

  Institute of Modern Physics, Northwest University

• JIHONG Dou

  Department of Mathematics, Northwest University

• Wenli He

  Institute Of Modern Physics Northwest University

• Changzheng Qu

  Department Of Mathematics Northwest University

• Jihong Dou

  Department Of Mathematics Northwest University

関連論文

• Separation of Variables and Exact Solutions of Generalized Nonlinear Klein-Gordon Equations

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