Singular soliton solution and bifurcation analysis of Klein-Gordon equation with power law nonlinearity
Singular soliton solution and bifurcation analysis of Klein-Gordon equation with power law nonlinearity
Ming SONG1,2, Zhengrong LIU1, Essaid ZERRAD3, Anjan BISWAS4()
1. Department of Mathematics, South China University of Technology, Guangzhou 510640, China; 2. Department of Mathematics, Yuxi Normal University, Yuxi 653100, China; 3. Department of Physics and Pre-Engineering, Delaware State University, Dover, DE 19901-2277, USA; 4. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
In this paper, the Klein-Gordon equation (KGE) with power law nonlinearity will be considered. The bifurcation analysis as well as the ansatz method of integration will be applied to extract soliton and other wave solutions. In particular, the second approach to integration will lead to a singular soliton solution. However, the bifurcation analysis will reveal several other solutions that are of prime importance in relativistic quantum mechanics where this equation appears.
. Singular soliton solution and bifurcation analysis of Klein-Gordon equation with power law nonlinearity[J]. Frontiers of Mathematics in China, 2013, 8(1): 191-201.
Ming SONG, Zhengrong LIU, Essaid ZERRAD, Anjan BISWAS. Singular soliton solution and bifurcation analysis of Klein-Gordon equation with power law nonlinearity. Front Math Chin, 2013, 8(1): 191-201.
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