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Bifurcation Analysis and Implicit Solution of Klein-Gordon Equation with Dual-power Law Nonlinearity in Relativistic Quantum Mechanics
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Bifurcation Analysis and Implicit Solution of Klein-Gordon Equation with Dual-power Law Nonlinearity in Relativistic Quantum Mechanics

Anjan Biswas, Ming Song and Essaid Zerrad
International journal of nonlinear sciences and numerical simulation, Vol.14(5), pp.317-322
13/08/2013

Abstract

bifurcation integrability solitons
This paper focuses on the nonlinear Klein-Gordon equation with dual power law nonlinearity. The traveling wave hypothesis reveals an implicit solution in terms of Gauss' hypergeometric functions. The bifurcation analysis is subsequently carried out that gives an additional set of solutions. The phase portraits of the solutions are also given.

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