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

Oleg I. Morozov

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arXiv · 2012.06904

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

Oleg I. Morozov

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Abstract

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{\"a}cklund transformations between this equation and the reduced quasi-classical self-dual Yang--Mills equation as well as the four-dimensional Mart{\'{\i}}nez Alonso--Shabat equation

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Oleg I. Morozov. 2020-12-12. Isospectral deformation of the reduced quasi-classical self-dual Yang--Mills equation. https://arxiv.org/abs/2012.06904

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