1 4 Ju l 2 00 5 Multi - Hamiltonian structure of Plebanski ’ s second heavenly equation
نویسنده
چکیده
We show that Plebanski’s second heavenly equation, when written as a firstorder 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. PACS numbers: 11.10.Ef, 02.30.Ik, 04.20.Fy Mathematics Subject Classification: 35Q75, 35L65
منابع مشابه
M ay 2 00 5 Multi - Hamiltonian structure of Plebanski ’ s second heavenly equation
We show that Plebanski’s second heavenly equation, when written as a firstorder 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. PACS numbers: 11.10.Ef, 02.30.Ik, 04.20.Fy Mathematics Subject Classification: 35Q75, 35L65
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تاریخ انتشار 2008