Kink dynamics in a system of two coupled scalar fields in two space-time dimensions

Abstract

In this paper we examine the scattering processes among the members of a rich family of kinks which arise in a (1+1)-dimensional relativistic two scalar field theory. These kinks carry two different topological charges that determine the mutual interactions between the basic energy lumps (extended particles) described by these topological defects. Processes like topological charge exchange, kink-antikink bound state formation or kink repulsion emerge depending on the charges of the scattered particles. Two-bounce resonant windows have been found in the antikink-kink scattering processes, but not in the kink-antikink interactions.

23 pages, 15 figures, to be published in Physica D

References in corpus (5)

• Collective Coordinates in One-Dimensional Soliton Models Revisited
• Interaction of topological solitons with defects: using a nontrivial metric
• Chaotic scattering in solitary wave interactions: A singular iterated-map description
• Composite solitary waves in three-component scalar field theory: II. Three-body low-energy scattering
• Chaotic Scattering and the $n$-bounce Resonance in Solitary Wave Interactions

Cited by in corpus (5)

• Oscillons in hyperbolic models
• Scattering of kinks in the $B{\phi }^4$ model
• Kink-antikink scattering-induced breathing bound states and oscillons in a parametrized ${\varphi }^4$ model
• Interacting kinks and meson mixing
• Localized structures in three-field models: geometrically constrained configurations and the first-order framework