20 citations · 35 across the 4 of their papers we have counts for
4 papers
By Magri's Theorem, Self-Dual Gravity is Completely Integrable
Yavuz Nutku
By Magri's theorem the bi-Hamiltonian structure of Plebanski's second heavenly equation proves that (anti)-self-dual gravity is a completely integrable system in four dimensions.
Covariant symplectic structure of the complex Monge-Ampère equation
Y. Nutku
The complex Monge-Ampère equation admits covariant bi-symplectic structure for complex dimension 3, or higher. The first symplectic 2-form is obtained from a new variational formul…
Harmonic Map Formulation of Colliding Electrovac Plane Waves
Y. Nutku
The formulation of the Einstein field equations admitting two Killing vectors in terms of harmonic mappings of Riemannian manifolds is a subject in which Charlie Misner has played…
Alternative bi-Hamiltonian structures for WDVV equations of associativity
J. Kalayci, Y. Nutku
The WDVV equations of associativity in 2-d topological field theory are completely integrable third order Monge-Ampère equations which admit bi-Hamiltonian structure. The time vari…