Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2006-11-15
Nonlinear Sciences
Pattern Formation and Solitons
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.
Alonso-Izquierdo Alberto
Guilarte Juan Mateos
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