STABILIZING A BREATHER IN THE DAMPED NONLINEAR SCHRODINGER-EQUATION DRIVEN BY 2 FREQUENCIES

Authors
CAI D BISHOP AR GRONBECHJENSEN N MALOMED BA
Citation
D. Cai et al., STABILIZING A BREATHER IN THE DAMPED NONLINEAR SCHRODINGER-EQUATION DRIVEN BY 2 FREQUENCIES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(2), 1994, pp. 180001000-180001002
Citations number
9
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
49
Issue
2
Year of publication
1994
Pages
180001000 - 180001002
Database
ISI
SICI code
1063-651X(1994)49:2<180001000:SABITD>2.0.ZU;2-W
Abstract
In the framework of adiabatic perturbation theory and energy balance c onditions, we analyze the possibility of stabilizing a breatherlike st ate (a bound state of two solitons with coinciding centers) in the dam ped (1+1)-dimensional cubic nonlinear Schrodinger equation by a two-fr equency ac drive. The analytic predictions for the threshold of drivin g strengths above which a stable breather exists are in good agreement with those measured in numerical simulations.