34 citations · 42 across the 8 of their papers we have counts for
4 papers · 1 filter
Nonlinear Spectral Computing
Ludovica Falsi, Francesco Coppini, Claudio Conti
Many machine learning algorithms rely on the Fourier transform, which is also the inner core of many analog computing devices and, specifically, of optical computing. The square of…
Novel periodic solutions and rogue waves of the defocusing scalar and coupled Ablowitz-Ladik systems on a nonzero background
Francesco Coppini, Barbara Prinari
In this paper we apply Hirota's bilinear method to the scalar and coupled Ablowitz-Ladik systems in the defocusing dispersion regime under the assumption of a background amplitude…
x-periodic Quasi One Dimensional Anomalous (Rogue) Waves in Multidimensional Nonlinear Schrödinger Equations: Fission, Fusion, and Recurrence
Francesco Coppini, Paolo Maria Santini
In a recent work we studied the first nonlinear stage of modulation instability (NLSMI) of x-periodic anomalous (rogue, freak, extreme) waves (AWs) of physically relevant multidime…
Pseudovorticity of 2+1D optical solitons
Ludovica Falsi, Giuseppe Agostino, Alberto Villois +6
In the hydrodynamic representation of a quantum fluid or optical field, vorticity vanishes wherever the phase is well defined, and is instead localized at phase singularities, or q…