Multi-Hamiltonian structure of Plebanski's second heavenly equation
F. Neyzi, Y. Nutku, M. B. Sheftel
Abstract
We show that Plebanski's second heavenly equation, when written as a first-order nonlinear evolutionary system, admits multi-Hamiltonian structure. Therefore by Magri's theorem it is a completely integrable system. Thus it is an example of a completely integrable system in four dimensions.
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