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Solitary waves and conservation laws of complex-valued Klein-Gordon equation in Phi-4 field theory
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Solitary waves and conservation laws of complex-valued Klein-Gordon equation in Phi-4 field theory

A. Biswas, A. H. Kara, A. H. Bokhari and F. D. Zaman
Indian journal of physics, Vol.88(3), pp.311-315
01/03/2014

Abstract

Physical Sciences Physics Physics, Multidisciplinary Science & Technology
In this paper, the ansatz method is used to obtain solitary wave solution, topological solitary wave solution and singular solitary wave solution of the complex valued Klein-Gordon equation with power law nonlinearity. The parameter domains are identified for each of these cases. Finally, the conserved densities for this equation are obtained using multiplier approach in Lie symmetry analysis. Subsequently, these densities integrate out to reveal conserved quantities of the equation.

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