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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…
Automorphic Lie Algebras with dihedral symmetry
Vincent Knibbeler, Sara Lombardo, Jan A Sanders
The concept of Automorphic Lie Algebras arises in the context of reduction groups introduced in the early 1980s in the field of integrable systems. Automorphic Lie Algebras are obt…
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…
Rational solitons of wave resonant interaction models
Antonio Degasperis, Sara Lombardo
Integrable models of resonant interaction of two or more waves in 1+1 dimensions are known to be of applicative interest in several areas. Here we consider a system of three couple…