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Integrability of Dirac reduced bi-Hamiltonian equations

TitleIntegrability of Dirac reduced bi-Hamiltonian equations
Publication TypePreprint
2014
AuthorsDe Sole, A, Kac, VG, Valeri, D
Document NumberarXiv:1401.6006;
InstitutionSISSA

First, we give a brief review of the theory of the Lenard-Magri scheme for a non-local bi-Poisson structure and of the theory of Dirac reduction. These theories are used in the remainder of the paper to prove integrability of three hierarchies of bi-Hamiltonian PDE's, obtained by Dirac reduction from some generalized Drinfeld-Sokolov hierarchies.

http://hdl.handle.net/1963/7247

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