Reduction of bihamiltonian systems and separation of variables: an example from the Boussinesq hierarchy

Details Reduction of bihamiltonian systems and separation of variables: an example from the Boussinesq hierarchy Reduction of bihamiltonian systems and separation of variables: an example from the Boussinesq hierarchy

1999-06-15

arxiv.org/abs/solv-int/9906009v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages, LaTeX2e, report to NEEDS in Leeds (1998), to be published in Theor. Math. Phys

Scientific paper

10.1007/BF02551195

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.

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