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20032015
most citedPartner symmetries and non-invariant solutions of four-dimensional heavenly equations

26 citations · 116 across the 10 of their papers we have counts for

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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…