Stabilization of dark solitons in the cubic Ginzburg-Landau equation

N. Efremidis, K. Hizanidis, H. E. Nistazakis, D. J. Frantzeskakis, B. A. Malomed

Research output: Contribution to journalArticlepeer-review

Abstract

The existence and stability of exact continuous-wave and dark-soliton solutions to a system consisting of the cubic complex Ginzburg-Landau (CGL) equation linearly coupled with a linear dissipative equation is studied. We demonstrate the existence of vast regions in the system’s parameter space associated with stable dark-soliton solutions, having the form of the Nozaki-Bekki envelope holes, in contrast to the case of the conventional CGL equation, where they are unstable. In the case when the dark soliton is unstable, two different types of instability are identified. The proposed stabilized model may be realized in terms of a dual-core nonlinear optical fiber, with one core active and one passive.

Original languageEnglish
Pages (from-to)7410-7414
Number of pages5
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume62
Issue number5
DOIs
StatePublished - 2000

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