By Magri's Theorem, Self-Dual Gravity is Completely Integrable

SIGMA 3:034,2007 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.

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Zusammenfassung:SIGMA 3:034,2007 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.
DOI:10.48550/arxiv.nlin/0702055