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Эта публикация цитируется в 18 научных статьях (всего в 18 статьях)
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
Аннотация:
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.
Поступила в редакцию: 17.11.1999
Образец цитирования:
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd860 https://www.mathnet.ru/rus/rcd/v5/i1/p33
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