Soliton-like Solutions of the complex φ^6 system in 1+1 Dimensions

Mohammadi, Mohammad

doi:10.22055/jrmbs.2018.13957

Soliton-like Solutions of the complex φ^6 system in 1+1 Dimensions

Document Type : Full length research Paper

Author

Mohammad Mohammadi

Assistant Professor of Physics, Persian Gulf University, Bushehr

10.22055/jrmbs.2018.13957

Abstract

In this paper, we will introduce soliton-like solutions of the complex ϕ^6 system as an example of the complex non-linear Klein-Gordon systems in 1+1 dimensions. Complex kink (anti-kink), radiative profiles and wave-packets are three different types of soliton-like solutions for complex ϕ^6 system. All relativistic energy-momentum relations can be satisfied generally for such solutions. For this special system, numerical calculations show that we can detect an apparent uncertainty in the outputs of collisions of the complex kink-anti-kink pairs and the pairs of wave-packets, which originate from an arbitrary initial phase. Also in collisions between out-of-phase kink-anti-kink pairs, we can always detect radiative profiles. The reverse can also occur, i.e. in collisions between two energetic radiative profiles with zero rest masses, it is possible to create a pair of kink-anti-kink with non-zero rest masses.

Keywords

ϕ^6 system

kink

Wave packets

Radiative profiles

Uncertainty

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