31 citations · 57 across the 4 of their papers we have counts for
4 papers
Rogue wave formation scenarios for the focusing nonlinear Schrödinger equation with parabolic-profile initial data on a compact support
F. Demontis, G. Ortenzi, G. Roberti +1
We study the (1+1) focussing nonlinear Schrödinger equation for an initial condition with compactly-supported parabolic profile and phase depending quadratically on the spatial coo…
Periodic and solitary wave solutions of the long wave-short wave Yajima-Oikawa-Newell model
Marcos Caso-Huerta, Antonio Degasperis, Priscila Leal da Silva +2
Models describing long wave-short wave resonant interactions have many physical applications from fluid dynamics to plasma physics. We consider here the Yajima-Oikawa-Newell (YON)…
A new integrable model of long wave-short wave interaction and linear stability spectra
Marcos Caso-Huerta, Antonio Degasperis, Sara Lombardo +1
We consider the propagation of short waves which generate waves of much longer (infinite) wave-length. Model equations of such long wave-short wave resonant interaction, including…
Integrability and linear stability of nonlinear waves
Antonio Degasperis, Sara Lombardo, Matteo Sommacal
It is well known that the linear stability of solutions of partial differential equations which are integrable can be very efficiently investigated by means of spectral methods. We…