58 citations · 284 across the 27 of their papers we have counts for
28 papers
Poisson quasi-Nijenhuis deformations of the canonical PN structure
Gregorio Falqui, Igor Mencattini, Marco Pedroni
We present a result which allows us to deform a Poisson-Nijenhuis manifold into a Poisson quasi-Nijenhuis manifold by means of a closed 2-form. Under an additional assumption, the…
Poisson quasi-Nijenhuis manifolds and the Toda system
G. Falqui, I. Mencattini, G. Ortenzi +1
The notion of Poisson quasi-Nijenhuis manifold generalizes that of Poisson-Nijenhuis manifold. The relevance of the latter in the theory of completely integrable systems is well es…
On the Geometry of Extended Self-Similar Solutions of the Airy Shallow Water Equations
Roberto Camassa, Gregorio Falqui, Giovanni Ortenzi +1
Self-similar solutions of the so called Airy equations, equivalent to the dispersionless nonlinear Schrödinger equation written in Madelung coordinates, are found and studied from…
Singularity formation as a wetting mechanism in a dispersionless water wave model
R. Camassa, G. Falqui, G. Ortenzi +2
The behavior of a class of solutions of the shallow water Airy system originating from initial data with discontinuous derivatives is considered. Initial data are obtained by splic…
Hydrodynamic models and confinement effects by horizontal boundaries
R. Camassa, G. Falqui, G. Ortenzi +2
Confinement effects by rigid boundaries in the dynamics of ideal fluids are considered from the perspective of long-wave models and their parent Euler systems, with the focus on th…
Poisson pencils: reduction, exactness, and invariants
Paolo Lorenzoni, Marco Pedroni, Andrea Raimondo
We study the invariants (in particular, the central invariants) of suitable Poisson pencils from the point of view of the theory of bi-Hamiltonian reduction, paying a particular at…