Singular solitons and bifurcation analysis of quadratic nonlinear Klein-Gordon equation

Authors

Ming Song, Department of Mathematics, South China University of Technology, Guangzhou-510640, CHINA // Department of Mathematics, Yuxi Normal University, Yuxi-653100, CHINA
Zhengrong Liu
Essaid Zerrad
Anjan Biswas

Author Country (or Countries)

CHINA

Abstract

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.

Suggested Reviewers

N/A

Recommended Citation

Song, Ming; Liu, Zhengrong; Zerrad, Essaid; and Biswas, Anjan (2013) "Singular solitons and bifurcation analysis of quadratic nonlinear Klein-Gordon equation," Applied Mathematics & Information Sciences: Vol. 07: Iss. 4, Article 9.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss4/9