57 citations · 169 across the 6 of their papers we have counts for
6 papers
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…
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…
On dissipationless shock waves in a discrete nonlinear Schrödinger equation
A. M. Kamchatnov, A. Spire, V. V. Konotop
It is shown that the generalized discrete nonlinear Schrödinger equation can be reduced in a small amplitude approximation to the KdV, mKdV, KdV(2) or the fifth-order KdV equations…
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…
An integrable discretization of KdV at large times
M Boiti, F Pempinelli, B Prinari +1
An "exact discretization" of the Schroedinger operator is considered and its direct and inverse scattering problems are solved. It is shown that a differential-difference nonlinear…