150 citations · 531 across the 43 of their papers we have counts for
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A Hamiltonian approach to the CH-KP equation
R. Camassa, G. Falqui, E. Sforza
A model governing quasi-unidirectional wave propagation at the surface of a shallow layer of water is derived from Euler equations by long wave asymptotics together with Hamiltonia…
Two-layer sharply stratified Euler fluids in three dimensions: a Hamiltonian setting
R. Camassa, G. Falqui, G. Ortenzi +2
Three-dimensional two-layer incompressible Euler fluids are studied from a Hamiltonian perspective. A natural Hamiltonian structure for the effective 2D model described by the inte…
An involutivity theorem for a class of Poisson quasi-Nijenhuis manifolds
Eber Chuño Vizarreta, Gregorio Falqui, Igor Mencattini +1
This note aims to continue our study about the applications of Poisson quasi-Nijenhuis geometry to the theory of classical completely integrable systems. More precisely, we will pr…
Hamiltonian reductions, scalings, and effective wave models in stratified fluids
Gregorio Falqui, Eleonora Sforza
We apply Poisson reduction techniques to describe asymptotic fully nonlinear models of 2-layer sharply stratified fluids in the Hamiltonian framework. We start by considering the B…
Poisson quasi-Nijenhuis manifolds, closed Toda lattices, and generalized recursion relations
Eber Chuño Vizarreta, Gregorio Falqui, Igor Mencattini +1
We present two involutivity theorems in the context of Poisson quasi-Nijenhuis %(PqN) manifolds. The second one stems from recursion relations that generalize the so called Lenard-…
Evolution of interface singularities in shallow water equations with variable bottom topography
R. Camassa, R. D'Onofrio, G. Falqui +2
Wave front propagation with non-trivial bottom topography is studied within the formalism of hyperbolic long wave models. Evolution of non-smooth initial data is examined, and in p…