Jorge Zubelli

Est. D. Castorina 110, Rio de Janeiro RJ 22460, Brazil
zubelli@impa.br
IMPA

Publications:

Falqui G. G., Magri F., Pedroni M., Zubelli J. P.
A Bi-Hamiltonian Theory for Stationary KDV Flows and Their Separability
2000, vol. 5, no. 1, pp.  33-52
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.
Citation: Falqui G. G., Magri F., Pedroni M., Zubelli J. P.,  A Bi-Hamiltonian Theory for Stationary KDV Flows and Their Separability, Regular and Chaotic Dynamics, 2000, vol. 5, no. 1, pp. 33-52
DOI:10.1070/RD2000v005n01ABEH000122

Back to the list