We discuss the Boussinesq system with the stationary time t5 within a general framework of stationary flows of n-Gel'fand-Dickey hierarchies. A careful use of the bi-Hamiltonian structure can provide a set of separation coordinates for the corresponding Hamilton-Jacobi equations.
Falqui, G., Magri, F., Tondo, G. (2000). Reduction of bi-Hamiltonian systems and the separation of variables: an example from the Boussinesq hierarchy. THEORETICAL AND MATHEMATICAL PHYSICS, 122(2), 176-192 [10.1007/BF02551195].
Reduction of bi-Hamiltonian systems and the separation of variables: an example from the Boussinesq hierarchy
FALQUI, GREGORIO;MAGRI, FRANCO;
2000
Abstract
We discuss the Boussinesq system with the stationary time t5 within a general framework of stationary flows of n-Gel'fand-Dickey hierarchies. A careful use of the bi-Hamiltonian structure can provide a set of separation coordinates for the corresponding Hamilton-Jacobi equations.
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