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Contact integrable extensions and differential coverings for the generalized (2 + 1)-dimensional dispersionless Dym equation

Oleg Morozov — 2012

Open Mathematics

The method of contact integrable extensions is used to find new differential coverings for the generalized (2 + 1)-dimensional dispersionless Dym equation and corresponding Bäcklund transformations.

A recursion operator for the universal hierarchy equation via Cartan’s method of equivalence

Oleg Morozov — 2014

Open Mathematics

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 operator for symmetries of this equation.

Structure of symmetry groups via Cartan's method: survey of four approaches.

Morozov, Oleg I. — 2005

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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