约化拟经典自对偶杨-米尔斯方程的等谱形变
Isospectral deformation of the reduced quasi-classical self-dual Yang--Mills equation
摘要：
通过对约化的准经典自对偶杨-米尔斯方程的对称代数进行收缩，得到了新的四维偏微分方程的等谱Lax表示.然后，我们为得到的方程找到了一个递归算子，并构造了该方程与约化的准经典自对偶Yang-Mills方程和四维Martnez Alonso-Shabat方程之间的B{ä}cklund变换
英文摘要：
We derive new four-dimensional partial differential equation with the isospectral Lax representation by shrinking the symmetry algebra of the reduced quasi-classical self-dual Yang--Mills equation. Then we find a recursion operator for the obtained equation and construct B{ä}cklund transformations between this equation and the reduced quasi-classical self-dual Yang--Mills equation as well as the four-dimensional Mart{\'ı}nez Alonso--Shabat equation
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