The orbit method solution for the deformed three coupled scalar fields

TL;DR

This paper introduces a method to generate deformed solutions for systems of three coupled scalar fields using the orbit method, enabling the construction of new models and their defect solutions from existing ones.

Contribution

It presents a novel approach to deform super-potentials and derive defect solutions for coupled scalar fields, expanding the toolkit for scalar field model analysis.

Findings

Deformed super-potentials are constructed from non-deformed models.

Defect solutions are obtained for the deformed models.

Graphical analysis shows scale changes between deformed and original models.

Abstract

In this work, we present a deformed solutions starting from systems of three coupled scalar fields with super-potential $W(\phi_1, \phi_2, \phi_3)$ by orbit method. First, we deform the corresponding super-potential and obtain defect solutions. It is shown that how to construct new models altogether with its defect solutions in terms of the non-deformed model. Therefore, we draw the graph of super-potential and different fields in terms of $x.$ So we observe that the graphs for deformed and non - deformed cases are changed by the scale.