Multi-Hamiltonian structure of Plebanski's second heavenly equation
نویسندگان
چکیده
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
متن کامل1 4 Ju l 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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Abstract In the recent paper by one of the authors (MBS) and A. Malykh on the classification of second-order PDEs with four independent variables that possess partner symmetries [1], mixed heavenly equation appears as one of the canonical equations admitting partner symmetries. Here for the mixed heavenly equation, formulated in a two-component form, we present a Lax pair of Olver-Ibragimov-Sha...
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In the recent paper by one of the authors (MBS) and A. A. Malykh on the classification of second-order PDEs with four independent variables that possess partner symmetries [1], mixed heavenly equation and Husain’s equation appear as closely related canonical equations admitting partner symmetries. Here for the mixed heavenly equation and Husain’s equation, formulated in a two-component form, we...
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Abstract. We study the Poisson structure associated to the defocusing Ablowitz-Ladik equation from a functional-analytical point of view, by reexpressing the Poisson bracket in terms of the associated Carathéodory function. Using this expression, we are able to introduce a family of compatible Poisson brackets which form a multi-Hamiltonian structure for the Ablowitz-Ladik equation. Furthermore...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2005
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/38/39/012