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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
Veröffentlicht/Copyright:
23. Juli 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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Artikel in diesem Heft
- Masthead
- Differential Transform – Pade Technique for Treating Non-linear Singular Boundary Value Problems Arising in the Applied Sciences
- Periodic and Solitary Wave Solutions of Complex Nonlinear Evolution Equations by Using First Integral Method
- Sylvester-tridiagonal Matrix with Alternating Main Diagonal Entries and its Spectra
- Wavelet-Galerkin Method for the Solution of Shear Wave Equation
- Topology Optimization Using Nonlinear Finite Elements and Control-point-based Parametrization
- Stagnation-point Flow of a Viscoelastic Fluid over a Lubricated Surface
- Nonlinear Air Quality Modeling Using Support Vector Machines in Gijón Urban Area (Northern Spain) at Local Scale
- Exact Solutions for Pattern Formation in a Reaction-Diffusion System
- Bifurcation Analysis and Implicit Solution of Klein-Gordon Equation with Dual-power Law Nonlinearity in Relativistic Quantum Mechanics
