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

被引：0

作者：

Li, Shangshuai ^{[1
]}

Qu, Changzheng ^{[2
]}

Yi, Xiangxuan ^{[3
]}

Zhang, Da-jun ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Ningbo Univ, Sch Math & Stat, Ningbo, Peoples R China

[3] Shanghai Univ, Qianweichang Coll, Shanghai, Peoples R China

来源：

STUDIES IN APPLIED MATHEMATICS | 2022年 / 148卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Cauchy matrix approach; integrable system; self-dual Yang-Mills equation; solution; INTEGRABLE EQUATIONS; SYLVESTER EQUATION; FIELD-THEORY; SYSTEMS; TRANSFORMATIONS; CONSTRUCTION;

D O I：

10.1111/sapm.12488

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Cauchy matrix approach is developed to solve the SU(2)$\mathbf {SU}(2)$ self-dual Yang-Mills (SDYM) equation. Starting from a Sylvester matrix equation coupled with certain dispersion relations for an infinite number of coordinates, we derive some new relations that give rise to the SDYM equation under Yang's formulation. By imposing further constraints on complex independent variables, a broad class of explicit solutions of the equation under Yang's formulation are obtained.

引用

页码：1703 / 1721

页数：19

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