SDYM equations on the self-dual background

TL;DR

This paper develops a novel technique combining integration schemes and multidimensional dispersionless integrable equations to formulate SDYM equations on a conformally self-dual background, including a dressing scheme and special cases.

Contribution

It introduces a new method for deriving SDYM equations on self-dual backgrounds using a combined integrability approach and develops a corresponding dressing scheme.

Findings

A new technique for SDYM equations on self-dual backgrounds

Development of a dressing scheme for these equations

Analysis of special cases and reductions

Abstract

We introduce the technique combining the features of integration schemes for SDYM equations and multidimensional dispersionless integrable equations to get SDYM equations on the conformally self-dual background. Generating differential form is defined, the dressing scheme is developed. Some special cases and reductions are considered.