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A. M. Verbovetsky

Publications and source records attributed to A. M. Verbovetsky.

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Recursion operators in the cotangent covering of the rdDym equation

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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