Stability and interactions of solitons in two-component active systems

Javid Atai, Boris A. Malomed

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)4371-4374
Number of pages4
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number4
StatePublished - 1996


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