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

TL;DR

This paper explores defect structures in two-field models inspired by multimode laser equations, using the trial orbit method to find analytical topological soliton solutions that depend on model parameters.

Contribution

It introduces the application of the trial orbit method to two-field models inspired by laser equations, deriving new analytical topological soliton solutions.

Findings

Analytical solutions for topological solitons were obtained.

Defect structures depend on model parameters.

The trial orbit method is effective for these 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.