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Modulational instability and zigzagging of dissipative solitons induced by delayed feedback

D. Puzyrev, A. G. Vladimirov, S. V. Gurevich, and S. Yanchuk
Phys. Rev. A 93, 041801(R) – Published 7 April 2016

Abstract

We report a destabilization mechanism of localized solutions in spatially extended systems which is induced by delayed feedback. Considering a model of a wide-aperture laser with a saturable absorber and delayed optical feedback, we demonstrate the appearance of multiple coexistent laser cavity solitons. We show that at large delays apart from the drift and phase instabilities the soliton can exhibit a delay-induced modulational instability associated with the translational neutral mode. The combination of drift and modulational instabilities produces a zigzagging motion of the solitons, which are either periodic, with the period close to the delay time, or chaotic, with low-frequency fluctuations in the direction of the soliton motion. The same type of modulational instability is demonstrated for localized solutions of the cubic-quintic complex Ginzburg-Landau equation.

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  • Received 27 October 2015

DOI:https://doi.org/10.1103/PhysRevA.93.041801

©2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
Atomic, Molecular & Optical

Authors & Affiliations

D. Puzyrev1,2, A. G. Vladimirov1,3, S. V. Gurevich4,5, and S. Yanchuk1,2

  • 1Weierstrass Institute, Mohrenstrasse 39, D-10117 Berlin, Germany
  • 2Institute of Mathematics, Technical University of Berlin, Strasse des 17 Juni 136, D-10623 Berlin, Germany
  • 3Lobachevsky State University of Nizhni Novgorod, pr. Gagarina 23, Nizhni Novgorod, 603950, Russia
  • 4Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Strasse 9, D-48149 Münster, Germany
  • 5Center for Nonlinear Science (CeNoS), University of Münster, Corrensstrasse 2, 48149 Münster, Germany

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Issue

Vol. 93, Iss. 4 — April 2016

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