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 -