34 citations · 42 across the 8 of their papers we have counts for
9 papers
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…
Quasi one dimensional anomalous (rogue) waves in multidimensional nonlinear Schrödinger equations 1: fission and fusion
Francesco Coppini, Paolo Maria Santini
In this paper we study the first nonlinear stage of modulation instability (NLSMI) of -periodic AWs in multidimensional generalizations of the focusing nonlinear Schrödinger (NL…
Evidence of 1+1D photorefractive stripe solitons deep in the Kerr limit
Ludovica Falsi, Alberto Villois, Francesco Coppini +3
The Kerr nonlinearity allows for exact analytic soliton solutions in 1+1D. While nothing excludes that these solitons form in naturally-occurring real-world 3D settings as solitary…
The periodic N breather anomalous wave solution of the Davey-Stewartson equations; first appearance, recurrence, and blow up properties
F. Coppini, P. G. Grinevich, P. M. Santini
The integrable focusing Davey-Stewarson (DS) equations, multidimensional generalizations of the focusing cubic nonlinear Schrödinger (NLS) equation, provide ideal mathematical mode…
The effect of loss/gain and hamiltonian perturbations of the Ablowitz-Ladik lattice on the recurrence of periodic anomalous waves
Francesco Coppini, Paolo Maria Santini
The Ablowitz-Ladik (AL) equations are distinguished integrable discretizations of the focusing and defocusing nonlinear Schrödinger (NLS) equations. In a previous paper (arXiv:2305…
The effect of a small loss or gain in the periodic NLS anomalous wave dynamics. I
F. Coppini, P. G. Grinevich, P. M. Santini
The focusing Nonlinear Schrödinger (NLS) equation is the simplest universal model describing the modulation instability (MI) of quasi monochromatic waves in weakly nonlinear media,…