A Bi-Hamiltonian Theory for Stationary KdV Flows and their Separability

Details A Bi-Hamiltonian Theory for Stationary KdV Flows and their Separability A Bi-Hamiltonian Theory for Stationary KdV Flows and their Separability

2000-03-09

arxiv.org/abs/nlin/0003020v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex, 21 pages. To appear in Regular and Chaotic Dynamics

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

A Bi-Hamiltonian Theory for Stationary KdV Flows and their Separability does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Bi-Hamiltonian Theory for Stationary KdV Flows and their Separability, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Bi-Hamiltonian Theory for Stationary KdV Flows and their Separability will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-654102