Mixed heavenly equation: a new integrable multi-Hamiltonian system
نویسندگان
چکیده
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-Shabat type and obtain its multi-Hamiltonian structure. Thus, we discover a new integrable Hamiltonian system.
منابع مشابه
Mixed heavenly equation and Husain’s equation are integrable bi-Hamiltonian systems
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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تاریخ انتشار 2009