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Poisson brackets and complex tori

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Publication:1067665
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zbMath0581.58017MaRDI QIDQ1067665

S. P. Novikov, Alexander P. Veselov

Publication date: 1985

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Poisson structureHamiltonian systemsKorteweg-de Vries equationcomplex toriAbelian integrals


Mathematics Subject Classification ID

Hamilton's equations (70H05) Picard schemes, higher Jacobians (14K30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Partial differential equations of mathematical physics and other areas of application (35Q99) Celestial mechanics (70F15)


Related Items (6)

Bi-Hamiltonian geometry and canonical spectral coordinates for the rational Calogero-Moser system ⋮ Kowalevski top in quantum mechanics ⋮ Linearising two-dimensional integrable systems and the construction of action-angle variables ⋮ On the minimal set of conservation laws and the Hamiltonian structure of the Whitham equations ⋮ Geometry of bi-Hamiltonian systems ⋮ Algebrotopological approach to the reality problem. Real action variables in the theory of finite-zone solutions of the sine-Gordon equation




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