Rational Bundles and Recursion Operators for Integrable Equations on A.III-type Symmetric Spaces

TL;DR

This paper investigates methods for constructing recursion operators for a class of integrable nonlinear differential equations associated with A.III-type symmetric spaces, highlighting their structure and reductions.

Contribution

It introduces a comparative analysis of recursion operator construction methods for integrable equations on A.III-type symmetric spaces with reductions.

Findings

Identification of specific recursion operators for these equations

Comparison of different construction methods

Insights into reductions and their effects on integrability

Abstract

We analyze and compare the methods of construction of the recursion operators for a special class of integrable nonlinear differential equations related to A.III-type symmetric spaces in Cartan's classification and having additional reductions.