Extended solutions via the trial-orbit method for two-field models

Abstract

In this work we investigate the presence of defect structures in models described by two real scalar fields. The coupling between the two fields is inspired on the equations for a multimode laser, and the minimum energy trivial configurations are shown to be structurely dependent on the parameters of the models. The trial orbit method is then used and several non-trivial analytical solutions corresponding to topological solitons are obtained.

14 pages, 4 figures

References in corpus (10)

• Solitons in systems of coupled scalar fields
• Degenerate Domain Wall Solutions in Supersymmetric Theories
• Bags, junctions, and networks of BPS and non-BPS defects
• General solutions for some classes of interacting two field kinks
• Solvable Models of Domain Walls in N=1 Supergravity
• Topological Defects and the Trial Orbit Method
• Gravitating multidefects from higher dimensions
• Kink-antikink, trapping bags and five-dimensional Gauss-Bonnet gravity
• Changing shapes: adiabatic dynamics of composite solitary waves
• Composite solitary waves in three-component scalar field theory: II. Three-body low-energy scattering

Cited by in corpus (3)

• Lorentz-violating effects on topological defects generated by two real scalar fields
• Superposed Hyperbolic Kink and Pulse Solutions of Coupled ${\varphi }^4$, NLS and MKdV Equations
• Solitons in a class of interacting scalar field theories without $SO(2)$ invariance