TY - JOUR
T1 - Stability and interactions of solitons in two-component active systems
AU - Atai, Javid
AU - Malomed, Boris A.
PY - 1996
Y1 - 1996
N2 - We demonstrate that solitary pulses in linearly coupled nonlinear Schrödinger equations with gain in one mode and losses in another one, which is a model of an asymmetric erbium-doped nonlinear optical coupler, exist and are stable, as was recently predicted analytically. Next, we consider interactions between the pulses. The in-phase pulses attract each other and merge into a single one. Numerical and analytical consideration of the repulsive interaction between π-out-of-phase pulses reveals the existence of their robust pseudobound state, when a final separation between them takes an almost constant minimum value, as a function of the initial separation, [Formula Presented], in a certain interval of [Formula Presented]. In the case of the phase difference π/2, the interaction is also repulsive.
AB - We demonstrate that solitary pulses in linearly coupled nonlinear Schrödinger equations with gain in one mode and losses in another one, which is a model of an asymmetric erbium-doped nonlinear optical coupler, exist and are stable, as was recently predicted analytically. Next, we consider interactions between the pulses. The in-phase pulses attract each other and merge into a single one. Numerical and analytical consideration of the repulsive interaction between π-out-of-phase pulses reveals the existence of their robust pseudobound state, when a final separation between them takes an almost constant minimum value, as a function of the initial separation, [Formula Presented], in a certain interval of [Formula Presented]. In the case of the phase difference π/2, the interaction is also repulsive.
UR - http://www.scopus.com/inward/record.url?scp=0001043557&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.54.4371
DO - 10.1103/PhysRevE.54.4371
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AN - SCOPUS:0001043557
SN - 1063-651X
VL - 54
SP - 4371
EP - 4374
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 - 4
ER -