46 citations · 306 across the 40 of their papers we have counts for
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nlin.SI2012
A Recursion Operator for the Universal Hierarchy Equation via Cartan's Method of Equivalence
Oleg I. Morozov
We apply Cartan's method of equivalence to find a Bäcklund autotransformation for the tangent covering of the universal hierarchy equation. The transformation provides a recursion…
math-ph2012★ 7 cited
SDiff(2) and uniqueness of the Plebański equation
Boris Kruglikov, Oleg Morozov
The group of area preserving diffeomorphisms showed importance in the problems of self-dual gravity and integrability theory. We discuss how representations of this infinite-dimens…
nlin.SI2012★ 16 cited
Recursion Operators and Nonlocal Symmetries for Integrable rmdKP and rdDym Equations
Oleg I. Morozov
We find direct and inverse recursion operators for integrable cases of the rmdKP and rdDym equations. Also, we study actions of these operators on the contact symmetries and find s…