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