Integrability of Dirac Reduced Bi-Hamiltonian Equations
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1401.6006.pdf
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252.28 KB
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05196907c7fde508482b11ae87873280
Author(s)
De Sole, Alberto
Valeri, Daniele
Kac, Victor
Date Issued
August 2014
Journal
Trends in Contemporary Mathematics
Publisher
Springer International Publishing AG
Citation
De Sole, Alberto, et al. “Integrability of Dirac Reduced Bi-Hamiltonian Equations.” Trends in Contemporary Mathematics, edited by Vincenzo Ancona and Elisabetta Strickland, vol. 8, Springer International Publishing, 2014, pp. 13–32.
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/978-3-319-05254-0_2
