Journal
NONLINEAR DYNAMICS
Volume 73, Issue 4, Pages 2191-2196Publisher
SPRINGER
DOI: 10.1007/s11071-013-0933-5
Keywords
Integrability; Lie symmetry; Conservation laws
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Funding
- King Fahd University of Petroleum and Minerals
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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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