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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
Published/Copyright:
July 23, 2013
Abstract
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.
Received: 2013-04-17
Accepted: 2013-05-26
Published Online: 2013-07-23
Published in Print: 2013-08-13
©[2013] by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Differential Transform – Pade Technique for Treating Non-linear Singular Boundary Value Problems Arising in the Applied Sciences
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