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Multi-Hamiltonian structure of Plebanski's second heavenly equation

F. Neyzi·Y. Nutku·M. B. Sheftel
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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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F. Neyzi, Y. Nutku, M. B. Sheftel. 2005-07-14. Multi-Hamiltonian structure of Plebanski's second heavenly equation. https://doi.org/10.1088/0305-4470%2F38%2F39%2F012

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