Soliton Solutions of the Integrable Chiral Model in 2+1 Dimensions

TL;DR

This paper constructs explicit soliton and soliton-antisoliton solutions for the integrable chiral model in 2+1 dimensions, demonstrating elastic scattering properties and connecting to existing solutions via limiting procedures.

Contribution

It introduces new explicit solutions for the 2+1 dimensional integrable chiral model, expanding the understanding of its soliton dynamics and solution space.

Findings

Explicit soliton solutions with elastic scattering

Connection to Ward's solutions via limits

Method adaptation from Uhlenbeck's approach

Abstract

We present soliton and soliton-antisoliton solutions for the integrable chiral model in 2+1 dimensions with nontrivial (elastic) scattering. These solutions can be obtained either as the limiting cases of the ones already constructed by Ward or by adapting Uhlenbeck's method.