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Regular and Chaotic Dynamics, 2000, Volume 5, Issue 1, Pages 33–52
DOI: https://doi.org/10.1070/RD2000v005n01ABEH000122 (Mi rcd860) 		 
This article is cited in 20 scientific papers (total in 20 papers)

150th anniversary of S.V. Kovalevskaya

A Bi-Hamiltonian Theory for Stationary KDV Flows and Their Separability

G. Falquia, F. Magrib, M. Pedronic, J. P. Zubellid

a SISSA, Via Beirut 2/4, I – 34014 Trieste, Italy
b Dipartimento di Matematica e Applicazioni, Università di Milano – Bicocca, Via degli Arcimboldi 8, I – 20126 Milano, Italy
c Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, I – 16146 Genova, Italy
d IMPA, Est. D. Castorina 110, Rio de Janeiro, RJ 22460, Brazil
Full-text PDF Citations (20)
DOI: https://doi.org/10.1070/RD2000v005n01ABEH000122
Abstract: We present a fairly new and comprehensive approach to the study of stationary flows of the Korteweg–de Vries hierarchy. They are obtained by means of a double restriction process from a dynamical system in an infinite number of variables. This process naturally provides us with a Lax representation of the flows, which is used to find their bi-Hamiltonian formulation. Then we prove the separability of these flows making use of their bi-Hamiltonian structure, and we show that the variables of separation are supplied by the Poisson pair.
Received: 17.11.1999
Bibliographic databases:
Document Type: Personalia
MSC: 58F07, 35Q53
Language: English
Citation: G. Falqui, F. Magri, M. Pedroni, J. P. Zubelli, “A Bi-Hamiltonian Theory for Stationary KDV Flows and Their Separability”, Regul. Chaotic Dyn., 5:1 (2000), 33–52
Citation in format AMSBIB
\Bibitem{FalMagPed00}
\by G. Falqui, F. Magri, M. Pedroni, J. P. Zubelli
\paper A Bi-Hamiltonian Theory for Stationary KDV Flows and Their Separability
\jour Regul. Chaotic Dyn.
\yr 2000
\vol 5
\issue 1
\pages 33--52
\mathnet{http://mi.mathnet.ru/rcd860}
\crossref{https://doi.org/10.1070/RD2000v005n01ABEH000122}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1784728}
\zmath{https://zbmath.org/?q=an:0947.37048}
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