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تسجيل مستخدم جديدDomain walls in a non-linear $mathbb{S}^2$-sigma model with homogeneous quartic polynomial potential
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In this paper the domain wall solutions of a Ginzburg-Landau non-linear $mathbb{S}^2$-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 $mathbb{S}^2$. The stability of all the domain walls is also investigated.
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