Numerical Domain Wall Type Solutions in phi**4 Theory

TL;DR

This paper verifies perturbative solutions of domain walls in phi**4 theory through numerical computations, confirming their physical relevance in classical field theory.

Contribution

It introduces numerical validation of recently obtained perturbative domain wall solutions in phi**4 theory.

Findings

Numerical results agree with perturbative solutions.

The study confirms the physical relevance of domain wall solutions.

Provides a benchmark for future analytical and numerical studies.

Abstract

The well known domain wall type solutions are nowadays of great physical interest in classical field theory. These solutions can mostly be found only approximately. Recently the Hilbert-Chapman-Enskog method was succesfully applied to obtain this type solutions in phi**4 theory. The goal of the present paper is to verify these perturbative results by numerical computations.