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- Jérôme Leon
- 1994

We propose a general algebraic analytic scheme for the spectral transform of solutions of nonlinear evolution equations. This allows us to give the general integrable evolution corresponding to an… (More)

- Jérôme Leon
- Physical review. E, Statistical, nonlinear, and…
- 2004

A fiber guide array resonator is proposed and shown to obey a nonlinear Schrödinger model in a square well potential with nonlinearity defocusing inside the well and focusing outside. This model is… (More)

- Jérôme Leon
- 1996

A suitable operator for the time-of-arrival at a detector is defined for the free relativistic particle in 3+1 dimensions. For each detector position, there exists a subspace of detected states in… (More)

The method of multiscale analysis is constructed for dicrete systems of evolution equations for which the problem is that of the far behavior of an input boundary datum. Discrete slow space variables… (More)

- Ramaz Khomeriki, Jérôme Leon
- Physical review letters
- 2007

A two-level medium, described by the Maxwell-Bloch system, is engraved by establishing a standing cavity wave with a linearly polarized electromagnetic field that drives the medium on both ends. A… (More)

- Jérôme Leon
- 2001

The inverse spectral transform for the Zakharov-Shabat equation on the semi-line x > 0 is reconsidered as a Hilbert problem. The boundary data induce an essential singularity as k → ∞ to one of the… (More)

- Jérôme Leon, F. PEMPINELLI
- 1995

A discrete system of coupled waves (with nonanalytic dispersion relation) is derived in the context of the spectral transform theory for the Ablowitz Ladik spectral problem (discrete version of the… (More)

- Ramaz Khomeriki, Jérôme Leon
- Physical review. E, Statistical, nonlinear, and…
- 2008

Experiments on a chain of coupled pendula driven periodically at one end demonstrate the existence of a regime which produces an output frequency at an odd fraction of the driving frequency. The… (More)

- K Tse Ve Koon, Jérôme Leon, Patrick Marquié, Patrice Tchofo-Dinda
- Physical review. E, Statistical, nonlinear, and…
- 2007

A discrete nonlinear system driven at one end by a periodic excitation of frequency above the upper band edge (the discreteness induced cutoff) is shown to be a means to (1) generate propagating… (More)

In the limit of small values of the aspect ratio parameter (or wave steepness) which measures the amplitude of a surface wave in units of its wavelength , a model equation is derived from the Euler… (More)