5 papers · 1 filter
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…
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-…
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…