Expanding the class of general exact solutions for interacting two field kinks

TL;DR

This paper extends a method for solving coupled nonlinear equations, broadening the class of exact solutions for interacting two-field kinks and discussing its implications.

Contribution

It introduces an extension to a recent method that linearizes coupled first-order nonlinear equations, enabling more general exact solutions for two-field kink interactions.

Findings

Broader class of exact solutions for two-field kinks identified.

Method successfully linearizes complex coupled equations.

Implications for understanding nonlinear field interactions discussed.

Abstract

In this work we extend the range of applicability of a method recently introduced where coupled first-order nonlinear equations can be put into a linear form, and consequently be solved completely. Some general consequences of the present extension are then commented.