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.
Original language | British English |
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Pages (from-to) | 33-52 |
Number of pages | 20 |
Journal | Regular and Chaotic Dynamics |
Volume | 5 |
Issue number | 1 |
DOIs | |
State | Published - 2000 |