Cauchy matrix approach to the SU(2) self-dual Yang--Mills equation
Exactly Solvable and Integrable Systems
2021-12-14 v1
Abstract
The Cauchy matrix approach is developed to solve the SU(2) self-dual Yang--Mills equation. Starting from a Sylvester matrix equation coupled with certain dispersion relation for infinite coordinates, the self-dual Yang--Mills equation under Yang's formulation is constructed. By imposing further constraints on complex independent variables, a broad class of explicit solutions are obtained.
Keywords
Cite
@article{arxiv.2112.06408,
title = {Cauchy matrix approach to the SU(2) self-dual Yang--Mills equation},
author = {Shangshuai Li and Changzheng Qu and Xiangxuan Yi and Da-jun Zhang},
journal= {arXiv preprint arXiv:2112.06408},
year = {2021}
}
Comments
17pp