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Separation of variables for bi-Hamiltonian systems

Mathematical Physics, Analysis and Geometry, no. 2 (2003): 139-179

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We address the problem of the separation of variables for the Hamilton-Jacobi equation within the theoretical scheme of bi-Hamiltonian geometry. We use the properties of a special class of bi-Hamiltonian manifolds, called omega-N manifolds, to give intrisic tests of separability (and Staeckel separability) for Hamiltonian systems. The sep...更多

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