非对易反自对偶Yang-Mills方程的贝克隆变换
Bäcklund Transformations 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.由这种方法产生的解决方案表示在quasideterminaters和属于非交换版本的Atiyah-Ward anomaly。在交换极限下，我们的结果与Corrigan，Fairlie，Yates和Goddard的结果一致.
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 and belong to a noncommutative version of the Atiyah-Ward ansatz. In commutative limit, our results coincide with those by Corrigan, Fairlie, Yates and Goddard.
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。
