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Solitons and conservation laws of Klein-Gordon equation with power law and log law nonlinearities
Journal article   Peer reviewed

Solitons and conservation laws of Klein-Gordon equation with power law and log law nonlinearities

Anjan Biswas, Abdul H. Kara, Ashfaque H. Bokhari and F. D. Zaman
Nonlinear dynamics, Vol.73(4), pp.2191-2196
01/09/2013

Abstract

Engineering Engineering, Mechanical Mechanics Science & Technology Technology
This paper obtains the conservation laws of the Klein-Gordon equation with power law and log law nonlinearities. The multiplier approach with Lie symmetry analysis is employed to obtain the conserved densities. The 1-soliton solutions are subsequently used to compute the conserved quantities from the conserved densities. Later the perturbation terms are added and the conservation laws of the perturbed Klein-Gordon equation are studied.

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