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.
CITATION STYLE
De Sole, A., Kac, V. G., & Valeri, D. (2014). Integrability of dirac reduced bi-Hamiltonian equations. In Springer INdAM Series (Vol. 8, pp. 13–32). Springer International Publishing. https://doi.org/10.1007/978-3-319-05254-0_2
Mendeley helps you to discover research relevant for your work.