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arXiv · 2112.06408

Cauchy matrix approach to the SU(2) self-dual Yang--Mills equation

Shangshuai Li·Changzheng Qu·Xiangxuan Yi·Da-jun Zhang
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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.

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Shangshuai Li, Changzheng Qu, Xiangxuan Yi, Da-jun Zhang. 2021-12-13. Cauchy matrix approach to the SU(2) self-dual Yang--Mills equation. https://arxiv.org/abs/2112.06408

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