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math-ph2008★ 10 cited
Self-dual gravity is completely integrable
Y. Nutku, M. B. Sheftel, J. Kalayci +1
We discover multi-Hamiltonian structure of complex Monge-Ampere equation (CMA) set in a real first-order two-component form. Therefore, by Magri's theorem this is a completely inte…
math-ph2007★ 1 cited
Symbol calculus and zeta--function regularized determinants
Burak Tevfik Kaynak, O. Teoman Turgut
In this work, we use semigroup integral to evaluate zeta-function regularized determinants. This is especially powerful for non--positive operators such as the Dirac operator. In o…
math-ph2007★ 13 cited
Lift of noninvariant solutions of heavenly equations from three to four dimensions and new ultra-hyperbolic metrics
A. A. Malykh, Y. Nutku, M. B. Sheftel
We demonstrate that partner symmetries provide a lift of noninvariant solutions of three-dimensional Boyer-Finley equation to noninvariant solutions of four-dimensional hyperbolic…