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

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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25 pages, 18 figures

Scientific paper

10.1088/0951-7715/20/11/012

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.

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