Journal
APPLIED MATHEMATICS & INFORMATION SCIENCES
Volume 7, Issue 4, Pages 1333-1340Publisher
NATURAL SCIENCES PUBLISHING CORP-NSP
DOI: 10.12785/amis/070409
Keywords
Bifurcation method; Klein-Gordon equation (KGE); traveling wave solution
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Funding
- National Natural Science Foundation of China [11171115]
- Natural Science Foundation of Yunnan Province [2010ZC154]
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This paper studies the Klein-Gordon equation with quadratic nonlinearity. The ansatz approach is used to first obtain the singular soliton solution of the equation along with the corresponding domain restriction. The bifurcation analysis is also carried out. By this analysis, a few more traveling wave solutions are retrieved. The bifurcation phase portraits are also given.
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