TY - JOUR
T1 - Moving solitons in the damped Ablowitz-Ladik model driven by a standing wave
AU - Cai, David
AU - Bishop, A. R.
AU - Grønbech-Jensen, Niels
AU - Malomed, Boris A.
PY - 1994
Y1 - 1994
N2 - We predict theoretically that, via a resonance mechanism, stable moving solitons exist in a discrete (1+1)-dimensional nonlinear Schrödinger (Ablowitz-Ladik) equation with dissipation and an ac driving term in the form of a standing wave. Agreement between the predicted threshold (minimum) values of the strength of the drive which is able to sustain the moving solitons and those measured in direct numerical simulations is excellent. Our results show an example of multistability in damped, standing-wave-driven systems. The dynamical instability for the motion of solitons in the unstable regimes is also analyzed.
AB - We predict theoretically that, via a resonance mechanism, stable moving solitons exist in a discrete (1+1)-dimensional nonlinear Schrödinger (Ablowitz-Ladik) equation with dissipation and an ac driving term in the form of a standing wave. Agreement between the predicted threshold (minimum) values of the strength of the drive which is able to sustain the moving solitons and those measured in direct numerical simulations is excellent. Our results show an example of multistability in damped, standing-wave-driven systems. The dynamical instability for the motion of solitons in the unstable regimes is also analyzed.
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U2 - 10.1103/PhysRevE.50.R694
DO - 10.1103/PhysRevE.50.R694
M3 - Article
AN - SCOPUS:0011972926
SN - 1063-651X
VL - 50
SP - R694-R697
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 2
ER -