83 citations · 322 across the 19 of their papers we have counts for
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Reduction of bihamiltonian systems and separation of variables: an example from the Boussinesq hierarchy
G. Falqui, F. Magri, G. Tondo
We discuss the Boussinesq system with stationary, within a general framework for the analysis of stationary flows of n-Gel'fand-Dickey hierarchies. We show how a careful use…
Bi-Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation variables
G. Tondo, C. Morosi
We discuss from a bi-Hamiltonian point of view the Hamilton-Jacobi separability of a few dynamical systems. They are shown to admit, in their natural phase space, a quasi-bi-Hamilt…
On a class of dynamical systems both quasi-bi-Hamiltonian and bi-Hamiltonian
C. Morosi, G. Tondo
It is shown that a class of dynamical systems (encompassing the one recently considered by F. Calogero [J. Math. Phys. 37 (1996) 1735]) is both quasi-bi-Hamiltonian and bi-Hamilton…
Quasi-BiHamiltonian Systems and Separability
C. Morosi, G. Tondo
Two quasi--biHamiltonian systems with three and four degrees of freedom are presented. These systems are shown to be separable in terms of Nijenhuis coordinates. Moreover the most…
On the integrability of stationary and restricted flows of the KdV hierarchy.
G. Tondo
A bi--Hamiltonian formulation for stationary flows of the KdV hierarchy is derived in an extended phase space. A map between stationary flows and restricted flows is constructed: i…