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Singular soliton solution and bifurcation analysis of Klein-Gordon equation with power law nonlinearity.

Authors :
Song, Ming
Liu, Zhengrong
Zerrad, Essaid
Biswas, Anjan
Source :
Frontiers of Mathematics in China. Feb2013, Vol. 8 Issue 1, p191-201. 11p.
Publication Year :
2013

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16733452
Volume :
8
Issue :
1
Database :
Academic Search Index
Journal :
Frontiers of Mathematics in China
Publication Type :
Academic Journal
Accession number :
84765847
Full Text :
https://doi.org/10.1007/s11464-012-0252-z