Soliton-like Solutions of the Complex Non-linear Klein-Gordon Systems in 1 + 1 Dimensions

• Main Authors: Mohammad mohammadi, Ali Reza Olamaei
• Format: Article
• Language: English
• Published: Damghan university 2017-05-01
• Series: Iranian Journal of Astronomy and Astrophysics
• Online Access: http://ijaa.du.ac.ir/article_108_1dac6703cd70c6208c97d18ea09f4ff9.pdf

In this paper, we present soliton-like solutions of the non-linear complex Klein-Gordon systems in 1+1 dimensions. We will use polar representation to introduce three different soliton-like solutions including, complex kinks (anti-kinks), radiative profiles, and localized wave-packets. Complex kinks (anti-kinks) are topological objects with zero electrical charges. Radiative profiles are objects that move at the speed of light and therefore, have a zero rest mass. They can be created in kink-anti-kink collisions and vice versa. Localized wave packet solutions are non-topological objects for which wave and particle behavior are reconciled in a classical way. For localized wave packet solutions, the trivial initial phase imposes an uncertainty on the collision fates.