14 citations
- Boğaziçi UniversityTR2 papers
- Centre National de la Recherche ScientifiqueFR1 paper
- Institut Élie Cartan de LorraineFR1 paper
- Institute of Problems of Mechanical EngineeringRU1 paper
- Istanbul Technical UniversityTR1 paper
- North-West State Technical UniversityRU1 paper
- St Petersburg UniversityRU1 paper
- Université de LorraineFR1 paper
- University of SannioIT1 paper
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math-ph2015★ 7 cited
Recursion operators and bi-Hamiltonian structure of the general heavenly equation
M. B. Sheftel, A. A. Malykh, D. Yazıcı
We discover two additional Lax pairs and three nonlocal recursion operators for symmetries of the general heavenly equation introduced by Doubrov and Ferapontov. Converting the equ…
math-ph2010★ 14 cited
General heavenly equation governs anti-self-dual gravity
A. A. Malykh, M. B. Sheftel
We show that the general heavenly equation, suggested recently by Doubrov and Ferapontov \cite{fer}, governs anti-self-dual (ASD) gravity. We derive ASD Ricci-flat vacuum metric go…
math-ph2010★ 7 cited
Recursions of Symmetry Orbits and Reduction without Reduction
Andrei A. Malykh, Mikhail B. Sheftel
We consider a four-dimensional PDE possessing partner symmetries mainly on the example of complex Monge-Ampère equation (CMA). We use simultaneously two pairs of symmetries related…