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

Year 2017, Volume: 13 Issue: 3, 593 - 599, 30.09.2017

Emrullah Yaşar İlker Burak Giresunlu

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

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