6 papers
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…
Shielding of breathers for the focusing nonlinear Schrödinger equation
Gregorio Falqui, Tamara Grava, Christian Puntini
We study a deterministic gas of breathers for the Focusing Nonlinear Schrödinger equation. The gas of breathers is obtained from a -breather solution in the limit …