Symmetry Reductions, Exact Solutions and Conservation Laws for the Coupled Nonlinear Klein-Gordon System

Authors : Emrullah Yaşar, Ilker Burak Giresunlu

Pages : 593-599

Doi:10.18466/cbayarfbe.339273

View : 27 | Download : 9

Publication Date : 2017-09-30

Article Type : Research

Abstract :The Lie group method is applied to a coupled nonlinear Klein-Gordon system. The Klein-Gordon system is used to model many nonlinear phenomena including the propagation of dislocations in crystals and the behavior of elementary particles and the propagation of fluxons in Josephson junctions. The symmetry reductions and exact solutions which include the stationary and solitary waves are obtained. In addition, by using the multiplier method, we derive the local conservation laws of the coupled nonlinear Klein-Gordon system.
Keywords : Lie symmetry analysis, Coupled nonlinear Klein-Gordon system, Similarity reduction, Solitary wave solution