论文标题

降低的准经典自我双重杨 - 米尔斯方程的等光谱变形

Isospectral deformation of the reduced quasi-classical self-dual Yang--Mills equation

论文作者

Morozov, Oleg I.

论文摘要

我们通过缩小还原的准经典自我义扬(Mill-duals-mills Qore)来得出新的四维部分偏微分方程,并通过缩小降低的准经典自我双向杨的对称代数来得出新的四维偏微分方程。然后,我们找到了获得的方程式和构造的递归操作员,该方程与减少的准经典自动偶义Yang-mills方程以及四维mart {\''} nez alonso-shabat方程之间的cklund转换

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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