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On the Hamiltonian structure of evolution equations. (English) Zbl 0445.58012

MSC:
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
53D50 Geometric quantization
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
58J10 Differential complexes
58D25 Equations in function spaces; evolution equations
35Q99 Partial differential equations of mathematical physics and other areas of application
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