MOVING SOLITONS IN THE DAMPED ABLOWITZ-LADIK MODEL-DRIVEN BY A STANDING-WAVE

Authors
CAI D BISHOP AR GRONBECHJENSEN N MALOMED BA
Citation
D. Cai et al., MOVING SOLITONS IN THE DAMPED ABLOWITZ-LADIK MODEL-DRIVEN BY A STANDING-WAVE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(2), 1994, pp. 180000694-180000697
Citations number
17
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
50
Issue
2
Year of publication
1994
Part
A
Pages
180000694 - 180000697
Database
ISI
SICI code
1063-651X(1994)50:2<180000694:MSITDA>2.0.ZU;2-F
Abstract
We predict theoretically that, via a resonance mechanism, stable movin g solitons exist in a discrete (1 + 1)-dimensional nonlinear Schroding er (Ablowitz-Ladik) equation with dissipation and an ac driving term i n the form of a standing wave. Agreement between the predicted thresho ld (minimum) values of the strength of the drive which is able to sust ain the moving solitons and those measured in direct numerical simulat ions is excellent. Our results show an example of multistability in da mped, standing-wave-driven systems. The dynamical instability for the motion of solitons in the unstable regimes is also analyzed.