Abstract
This paper is a concise introduction to Sato’s equations from the point of view of Hamiltonian mechanics. It aims to show that the theory of soliton equations may be completely built on the study of the Casimir functions of a pencil of Poisson brackets on a Poisson manifold.
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© 1993 Springer Science+Business Media New York
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Casati, P., Magri, F., Pedroni, M. (1993). Bihamiltonian Manifolds And Sato’s Equations. In: Babelon, O., Kosmann-Schwarzbach, Y., Cartier, P. (eds) Integrable Systems. Progress in Mathematics, vol 115. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0315-5_13
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DOI: https://doi.org/10.1007/978-1-4612-0315-5_13
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6703-4
Online ISBN: 978-1-4612-0315-5
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