Integrability of Dirac reduced bi-Hamiltonian equations

Title	Integrability of Dirac reduced bi-Hamiltonian equations
Publication Type	Preprint
	2014
Authors	De Sole, A, Kac, VG, Valeri, D
Document Number	arXiv:1401.6006;
Institution	SISSA
	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

Research Group:

Mathematics