398 citations · 1.2k across the 18 of their papers we have counts for
19 papers
Polyhedral Groups in
Vincent Knibbeler, Sara Lombardo, Casper Oelen
We classify embeddings of the finite groups , and in the Lie group up to conjugation.
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…
Wild Local Structures of Automorphic Lie Algebras
Drew Duffield, Vincent Knibbeler, Sara Lombardo
We study automorphic Lie algebras using a family of evaluation maps parametrised by the representations of the associative algebra of functions. This provides a descending chain of…
Automorphic Lie algebras and modular forms
V. Knibbeler, S. Lombardo, A. P. Veselov
We introduce and study certain hyperbolic versions of automorphic Lie algebras related to the modular group. Let be a finite index subgroup of with…
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…