Reduction of bi-Hamiltonian systems and separation of variables: An example from the Boussinesq hierarchy
We discuss the Boussinesq system with $t_5$ stationary, within a general framework for the analysis of stationary flows of n-Gel'fand-Dickey hierarchies. We show how a careful use of its bihamiltonian structure can be used to provide a set of separation coordinates for the corresponding Hamilton--Jacobi equations.
Theoretical and Mathematical Physics
- Pub Date:
- February 2000
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- 20 pages, LaTeX2e, report to NEEDS in Leeds (1998), to be published in Theor. Math. Phys