A note on bidifferential calculi and bihamiltonian systems
In this note we discuss the geometrical relationship between bi-Hamiltonian systems and bi-differential calculi, introduced by Dimakis and Möller–Hoissen.
Ito equation as a geodesic flow on
The Ito equation is shown to be a geodesic flow of metric on the semidirect product space , where is the group of orientation preserving Sobolev diffeomorphisms of the circle. We also study a geodesic flow of a metric.
A note on asymptotic helix and quantum mechanical structure.
Geodesic flows on the Bott-Virasoro group with Dubinskii norm.
Projective structure and integrable geodesic flows on the extension of Bott-Virasoro group.
Geodesic flow and two (super) component analog of the Camassa-Holm equation.
Dynamical studies of equations from the Gambier family.
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