paper

SDYM equations on the self-dual background

arXiv:1612.04536 · doi:10.1088/1751-8121/aa6ace

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.

Based on the talk presented at LMS -- EPSRC Durham Symposium "Geometric and Algebraic Aspects of Integrability", 25 July - 4 August 2016