Solitons of Some Nonlinear Sigma-Like Models

TL;DR

This paper derives differential identities to construct N-soliton solutions for various nonlinear models, including sigma-models and Yang-Mills equations, advancing analytical methods in nonlinear field theories.

Contribution

It introduces a unified approach using differential identities to obtain explicit soliton solutions for several nonlinear models.

Findings

Derived N-soliton solutions for Pohlmeyer sigma-models

Extended methods to two-dimensional self-dual Yang-Mills equations

Applied identities to modified vector Calapso equations

Abstract

We present a set of differential identities for some class of matrices. These identities are used to derive the $N$-soliton solutions for the Pohlmeyer nonlinear sigma-model, two-dimensional self-dual Yang-Mills equations and some modification of the vector Calapso equation.