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

Changzheng Qu, Wenli He, Jihong Dou

doi:10.1143/ptp.105.379

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

DOI PDF Web Site BIBCODE 参考文献28件

Changzheng Qu

Department of Mathematics, Northwest University, Xi'an, 710069, P. R. China
Wenli He

Institute of Modern Physics, Northwest University, Xi'an, 710069, P. R. China
Jihong Dou

Department of Mathematics, Northwest University, Xi'an, 710069, P. R. China

この論文をさがす

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.