English

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

Pattern Formation and Solitons 2009-11-11 v1 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.nlin/0611030,
  title  = {One-dimensional solitary waves in singular deformations of SO(2) invariant two-component scalar field theory models},
  author = {A. Alonso-Izquierdo and J. Mateos Guilarte},
  journal= {arXiv preprint arXiv:nlin/0611030},
  year   = {2009}
}

Comments

25 pages, 18 figures