2004•Journal of Anhui UniversityRequires access

New exact periodic solutions to nonlinear Klein-Gordon equation

Han Jia-hua

Abstract

In this paper an exteded Jacobian elliptic function expansion method is applied to construct the exact periodic solutions of the nonlinear Klein-Gordon equation.Four sets of new periodic solutions and four ones in [9]are obtained.These periodic solutions obtained by this method can be reduced to the solitary wave solutions under the limit condition.This method can also be applied to other nonlinear equations.

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Key concepts: Elliptic function, Jacobian matrix and determinant, Klein–Gordon equation, Mathematics, Nonlinear system, Mathematical analysis, Limit (mathematics), Periodic wave