556 citations · 1.9k across the 19 of their papers we have counts for
19 papers
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…
Bragg grating rogue wave
Antonio Degasperis, Stefan Wabnitz, Alejandro B. Aceves
We derive the rogue wave solution of the classical massive Thirring model, that describes nonlinear optical pulse propagation in Bragg gratings. Combining electromagnetically induc…
Darboux polynomial matrices: the classical Massive Thirring Model as study case
Antonio Degasperis
One way of constructing explicit expressions of solutions of integrable systems of Partial Differential Equations (PDEs) goes via the Darboux method. This requires the construction…
Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime
Fabio Baronio, Matteo Conforti, Antonio Degasperis +3
We report and discuss analytical solutions of the vector nonlinear Schrödinger equation that describe rogue waves in the defocusing regime. This family of solutions includes bright…