One-dimensional solitary waves in singular deformations of SO(2) invariant two-component scalar field theory models

Abstract

In this paper we study the structure of the manifold of solitary waves in some deformations of SO(2) symmetric two-component scalar field theoretical models in two-dimensional Minkowski space. The deformation is chosen in order to make the analogous mechanical system Hamilton-Jacobi separable in polar coordinates and displays a singularity at the origin of the internal plane. The existence of the singularity confers interesting and intriguing properties to the solitary waves or kink solutions.

25 pages, 18 figures

References in corpus (1)

• Deformed defects for scalar fields with polynomial interactions

Cited by in corpus (4)

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• Families of Q-balls in a deformed $O(4)$ linear sigma model
• Geometric Construction of non-linear Sigma models with Q-ball/Q-kink solutions
• Topological and non-topological kink families in non-linear $({\mathbb{S}}^1\times {\mathbb{S}}^1)$-Sigma models