LABORATOIRE G. D. CASSINI - O. C. A.

Séminaire

Phénomènes Physiques et Modèles Mathématiques en Sciences de l'Univers

Le séminaire a lieu le Lundi 11 juin 2001 de 14h30 à 15h30
dans la salle de réunion du PHC (Observatoire de Nice).

Shedding and interaction of solitons in imperfect medium

M. Chertkov, CNLS & T-13, Theoretical Division,

Los Alamos National Laboratory (USA).

The propagation of a soliton pattern through one-dimensional medium
with weakly disordered dispersion is considered. Solitons, perturbed
 by this disorder, radiate.  The emergence of a long-range interaction
 between the solitons, mediated by the radiation, is reported.
Basic soliton patterns are analyzed. The interaction is triple and is
 extremely sensitive to the phase mismatch and relative spatial
 separations within the pattern. The phenomenon is a generic feature
 of any problem explaining adiabatic evolution of solitons through a
 medium with frozen disorder.