SDYM equations on the self-dual background
Exactly Solvable and Integrable Systems
2017-04-26 v1 General Relativity and Quantum Cosmology
Mathematical Physics
Differential Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.1612.04536,
title = {SDYM equations on the self-dual background},
author = {L. V. Bogdanov},
journal= {arXiv preprint arXiv:1612.04536},
year = {2017}
}
Comments
Based on the talk presented at LMS -- EPSRC Durham Symposium "Geometric and Algebraic Aspects of Integrability", 25 July - 4 August 2016