Bianchi Permutability for the Anti-Self-Dual Yang-Mills Equations Bianchi Permutability for the Anti-Self-Dual Yang-Mills Equations
Bianchi Permutability for the Anti-Self-Dual Yang-Mills Equations Bianchi Permutability for the Anti-Self-Dual Yang-Mills Equations
复制标题
反自对偶 Yang-Mills 方程的 Bianchi 置换 反自对偶 Yang-Mills 方程的 Bianchi 置换
DOI：
10.1111/sapm.12118
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发表时间：
2016
影响因子：
2.7
通讯作者：
Benincasa G
中科院分区：
文献类型：
--
作者：
Benincasa G
已知反自对偶杨米尔斯方程可以约化为许多可积微分方程。对由仿射依赖于谱参数的达布矩阵生成的反自对偶杨米尔斯（ASDYM）方程给出了一个广义Bäcklund变换（BT）及其比安奇置换方程.我们给出的例子中，我们获得BTs的ASDYM方程的对称性减少，减少ASDYM BT。一些离散的可积系统直接从ASDYM比安奇系统的约化得到。
The anti‐self‐dual Yang‐Mills equations are known to have reductions to many integrable differential equations. A general Bäcklund transformation (BT) for the anti‐self‐dual Yang‐Mills (ASDYM) equations generated by a Darboux matrix with an affine dependence on the spectral parameter is obtained, together with its Bianchi permutability equation. We give examples in which we obtain BTs of symmetry reductions of the ASDYM equations by reducing this ASDYM BT. Some discrete integrable systems are obtained directly from reductions of the ASDYM Bianchi system.