223 citations · 851 across the 29 of their papers we have counts for
15 papers · 1 filter
Nonlinear supratransmission in multicomponent systems
P. Anghel-Vasilescu, J. Dorignac, F. Geniet +2
A method is proposed to solve the challenging problem of determining the supratransmission threshold (onset of instability of harmonic boundary driving inside a band gap) in multic…
Spatial solitons rays in periodic optical lattices
Ramaz Khomeriki, Jerome Leon
The light ray of a spatial soliton in an optical film whose refractive index is smoothly modulated (wavelength much larger than the typical soliton width) in both spatial direction…
Scattering of slow-light gap solitons with charges in a two-level medium
J. Leon, P. Anghel-Vasilescu, F. Ginovart +1
The Maxwell-Bloch system describes a quantum two-level medium interacting with a classical electromagnetic field by mediation of the the population density. This population density…
Tristability in the pendula chain
Ramaz Khomeriki, Jerome Leon
Experiments on a chain of coupled pendula driven periodically at one end demonstrate the existence of a novel regime which produces an output frequency at an odd fraction of the dr…
Nonlinear Dynamics in Double Square Well Potential
Ramaz Khomeriki, Jerome Leon, Stefano Ruffo +1
Considering the coherent nonlinear dynamics in double square well potential we find the example of coexistence of Josephson oscillations with a self-trapping regime. This macroscop…
Coexistence of Josephson oscillations and novel self-trapping regime in optical waveguide arrays
Ramaz Khomeriki, Jerome Leon, Stefano Ruffo
Considering the coherent nonlinear dynamics between two weakly linked optical waveguide arrays, we find the first example of coexistence of Josephson oscillations with a novel self…
Bistability in sine-Gordon: the ideal switch
Ramaz Khomeriki, Jerome Leon
The sine-Gordon equation, used as the representative nonlinear wave equation, presents a bistable behavior resulting from nonlinearity and generating hysteresis properties. We show…
Nonlinear absorption in discrete systems
A. Spire, J. Leon
In the context of nonlinear scattering, a continuous wave incident onto a nonlinear discrete molecular chain of coupled oscillators can be partially absorbed as a result of a 3-wav…
Nonlinear states and nonlinear tunneling in a potential well
J. Leon
A nonlinear Schroedinger model in a square well and managed nonlinearity is shown to possess nonlinear states as continuous extensions of the linear levels. The solutions are remar…
Nonlinear supratransmission as a fundamental instability
J. Leon
The nonlinear supratransmission is the property of a nonlinear system possessing a natural forbidden band gap to transmit energy of a signal with a frequency in the gap by means of…
Gap soliton formation by nonlinear supratransmission in Bragg media
J. Leon, A. Spire
A Bragg medium in the nonlinear Kerr regime, submitted to incident cw-radiation at a frequency in a band gap, switches from total reflection to transmission when the incident energ…
Energy transmission in the forbidden bandgap of a nonlinear chain
F. Geniet, J. Leon
A nonlinear chain driven by one end may propagate energy in the forbidden band gap by means of nonlinear modes. For harmonic driving at a given frequency, the process ocurs at a th…
The Zakharov-Shabat spectral problem on the semi-line: Hilbert formulation and applications
J. Leon, A. Spire
The inverse spectral transform for the Zakharov-Shabat equation on the semi-line is reconsidered as a Hilbert problem. The boundary data induce an essential singularity at large k…
Nonlinear energy transmission in the gap
J-G. Caputo, J. Leon, A. Spire
Numerical simulations of the scattering of a linear plane wave incoming onto a nonlinear medium (sine-Gordon) reveals that: i) nonlinearity allows energy transmission in the forbid…
Raman solitons in transient SRS
M. Boiti, J-G. Caputo, J. Leon +1
We report the observation of Raman solitons on numerical simulations of transient stimulated Raman scattering (TSRS) with small group velocity dispersion. The theory proceeds with…