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arXiv · 2106.06763

Recursion operators in the cotangent covering of the rdDym equation

I. S. Krasil'shchik·A. M. Verbovetsky
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Abstract

We describe a general method of constructing nonlocal recursion operators for symmetries of PDEs. As an example, the cotangent equation to the 3D rdDym equation $u_{yt} = u_xu_{xy} - u_yu_{xx}$ for which two mutually inverse operators are found. The exposition includes a rigorous criterion to check the hereditary property.

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I. S. Krasil'shchik, A. M. Verbovetsky. 2021-06-12. Recursion operators in the cotangent covering of the rdDym equation. https://arxiv.org/abs/2106.06763

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