Solitons and Other Solutions to Complex-Valued Klein-Gordon Equation in ϕ-4 Field Theory

Authors

M. Mirzazadeh, Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, IranFollow
M. Eslami, Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, IranFollow
A. H. Bhrawy, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah-21589, Saudi Arabia\\ Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, EgyptFollow
B. Ahmed, Department of Mathematics, College of Girls Ain Shams University, Cairo-11757, Egypt\\ Department of Mathematics, Faculty of Science and Arts, King Abdulaziz University, Al Kamil-21931, Saudi ArabiaFollow
Anjan Biswas, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah-21589, Saudi Arabia\\ Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USAFollow

Author Country (or Countries)

USA

Abstract

The integrability aspects of complex-valued Klein-Gordon equation is studied in this paper. Three integration algorithms applied. Several solutions are obtained using such integration machineries. Solutions range from plane waves to shock waves and solitons as well as singular periodic solutions.

Recommended Citation

Mirzazadeh, M.; Eslami, M.; H. Bhrawy, A.; Ahmed, B.; and Biswas, Anjan (2015) "Solitons and Other Solutions to Complex-Valued Klein-Gordon Equation in ϕ-4 Field Theory," Applied Mathematics & Information Sciences: Vol. 09: Iss. 6, Article 5.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss6/5