非对易反自对偶Yang-Mills方程的贝克隆变换和Atiyah-Ward估计
Bäcklund Transformations and the Atiyah-Ward ansatz for Noncommutative Anti-Self-Dual Yang-Mills Equations
摘要：
本文对规范群为G=GL（2）的非对易反自对偶Yang-Mills方程提出了Backlund变换，并利用它从一个简单的种子解生成了一系列精确解.这种方法产生的解决方案表示在quasideterminaters。我们还解释了所有的成分的Backlund变换的非交换扭量理论的框架内的起源。特别是，我们表明，所产生的解决方案属于一个非交换版本的Atiyah-Ward anastomy。
英文摘要：
We present Backlund transformations for the noncommutative anti-self-dual Yang-Mills equation where the gauge group is G=GL(2) and use it to generate a series of exact solutions from a simple seed solution. The solutions generated by this approach are represented in terms of quasideterminants. We also explain the origins of all of the ingredients of the Backlund transformations within the framework of noncommutative twistor theory. In particular we show that the generated solutions belong to a noncommutative version of the Atiyah-Ward ansatz.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
