Separable Hamiltonian equations on Riemann manifolds and related integrable hydrodynamic systems

Details Separable Hamiltonian equations on Riemann manifolds and related integrable hydrodynamic systems Separable Hamiltonian equations on Riemann manifolds and related integrable hydrodynamic systems

2002-09-06

arxiv.org/abs/nlin/0209014v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

to appear in Journal of Geometry and Physics

Scientific paper

A systematic construction of St\"{a}ckel systems in separated coordinates and its relation to bi-Hamiltonian formalism are considered. A general form of related hydrodynamic systems, integrable by the Hamilton-Jacobi method, is derived. One Casimir bi-Hamiltonian case is studed in details and in this case, a systematic construction of related hydrodynamic systems in arbitrary coordinates is presented, using a cofactor method and soliton symmetry constraints.

Affiliated with

Also associated with

No associations

Rating

Separable Hamiltonian equations on Riemann manifolds and related integrable hydrodynamic systems 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 Separable Hamiltonian equations on Riemann manifolds and related integrable hydrodynamic systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Separable Hamiltonian equations on Riemann manifolds and related integrable hydrodynamic systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-670174