Some Bi-Hamiltonian Equations in R³
classification
🌊 nlin.SI
keywords
bi-hamiltonianclassesgivensomesystemscompatibleconsideredconstructed
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Hamiltonian formulation of N=3 systems is considered in general. The Jacobi equation is solved in three classes. Compatible Poisson structures in these classes are determined and explicitly given. The corresponding bi-Hamiltonian systems are constructed and some explicit examples are given.
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