Abstract
A new method for the construction of integrable Hamiltonian system is proposed. For a given Poisson manifold, the present paper constructs new Poisson brackets on it by making use of the Dirac-Poisson structure[1], and obtains further new integrable Hamiltonian systems. The constructed Poisson bracket is usual non-linear, and this new method is also different from usual ones[2–4]. Two examples are given.
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Communicated by Zheng Quanshui
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Puyun, G. A new method for the construction of integrable hamiltonian systems. Appl Math Mech 17, 993–998 (1996). https://doi.org/10.1007/BF00147137
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DOI: https://doi.org/10.1007/BF00147137