De Sole, A., Kac, V. G. and Valeri, D. (2014) Integrability of Dirac reduced bi-Hamiltonian equations. In: Anconca, V. and Strickland, E. (eds.) Trends in Contemporary Mathematics. Series: Springer INdAM series (8). Springer: Cham, pp. 13-32. ISBN 9783319052533 (doi: 10.1007/978-3-319-05254-0_2)
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Abstract
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.
Item Type: | Book Sections |
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Status: | Published |
Glasgow Author(s) Enlighten ID: | Valeri, Dr Daniele |
Authors: | De Sole, A., Kac, V. G., and Valeri, D. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Publisher: | Springer |
ISBN: | 9783319052533 |
Published Online: | 02 August 2014 |
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