A coupled system of  \phi^4 and sine-Gordon fields

Azizi, Azizollah; Parkami, Shaghayegh

doi:10.47176/ijpr.24.2.61916

A coupled system of \phi^4 and sine-Gordon fields

Document Type : Original Article

Authors

Azizollah Azizi

Shaghayegh Parkami

Department of Physics, Science College, Shiraz University, Shiraz, Iran

https://doi.org/10.47176/ijpr.24.2.61916

Abstract

Pairing fields can lead to the emergence of new phenomena. In the classical fields and nonlinear systems, a lot of research has been done on the solitary and soliton solutions of these systems. In the literature, usually, we see the coupling of two ϕ^4 systems, or two sine-Gordon systems. The sine-Gordon system has various solutions, all of which are well-behaved, and its soliton solutions are well known. On the other hand, the ϕ^4 system, which is very important in field theory, has solitary solutions, but no soliton solutions. For example, a bound solution cannot be made from a pair of kink and anti-kink; or these two solutions will not survive after collision, and will be destroyed. In this research, we couple a ϕ^4 system to a sine-Gordon system, in order to extend the stability from the sine-Gordon system to the ϕ^4 system. We have shown that , for a coupled ϕ^4 and sine-Gordon system, this expectation is partially fulfilled.

Keywords

coupled fields

soliton

\phi^4 system

sine-Gordon system

Subjects

Theoretical

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