TY - JOUR
T1 - Bound solitons in the ac-driven, damped nonlinear Schrödinger equation
AU - Cai, David
AU - Bishop, A. R.
AU - Grønbech-Jensen, Niels
AU - Malomed, Boris A.
PY - 1994
Y1 - 1994
N2 - We demonstrate analytically that the effective potential of interaction between widely separated solitons in a damped, ac-driven nonlinear Schrödinger equation is oscillatory at large distances. We show numerically that two solitons in the system attract each other if the initial distance between them is smaller than a certain critical value; consequently, they will either form an oscillatory bound state with a finite lifetime, collapse to a stable single soliton state, or decay to the rotating background. If the initial separation is greater than the critical value, they separate to form a stable bound state at a second critical distance. The critical distances are in good agreement with the analytical prediction.
AB - We demonstrate analytically that the effective potential of interaction between widely separated solitons in a damped, ac-driven nonlinear Schrödinger equation is oscillatory at large distances. We show numerically that two solitons in the system attract each other if the initial distance between them is smaller than a certain critical value; consequently, they will either form an oscillatory bound state with a finite lifetime, collapse to a stable single soliton state, or decay to the rotating background. If the initial separation is greater than the critical value, they separate to form a stable bound state at a second critical distance. The critical distances are in good agreement with the analytical prediction.
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U2 - 10.1103/PhysRevE.49.1677
DO - 10.1103/PhysRevE.49.1677
M3 - Article
AN - SCOPUS:0000954795
VL - 49
SP - 1677
EP - 1679
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 2
ER -