The Theory of Hamiltonian and Bi-Hamiltonian Systems
This chapter is devoted to the standard results of the algebraic theory of bi-Hamiltonian systems, developed during the last two decades. The crucial concepts like the one of the recursion operator introduced by Olver , the bi-Hamiltonian property formulated by Magri  as well as the hereditary property introduced by Fuchssteiner  gave a background for the modern algebraic theory of integrable systems.
KeywordsVector Field Tensor Field Recursion Operator Tensor Invariant Hereditary Algebra
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