Domain walls in a non-linear 𝕊�2-sigma model with homogeneous quartic polynomial potential

Abstract

[EN] In this paper the domain wall solutions of a Ginzburg-Landau non-linear 𝕊2-sigma hybrid model are exactly calculated. There exist two types of basic domain walls and two families of composite domain walls. The domain wall solutions have been identified by using a Bogomolny arrangement in a system of sphero-conical coordinates on the sphere 𝕊2. The stability of all the domain walls is also investigated.