Nonlocality-Induced Front-Interaction Enhancement

L. Gelens, D. Gomila, G. Van der Sande, M. A. Matías, and P. Colet
Phys. Rev. Lett. 104, 154101 – Published 15 April 2010

Abstract

We demonstrate that nonlocal coupling strongly influences the dynamics of fronts connecting two equivalent states. In two prototype models we observe a large amplification in the interaction strength between two opposite fronts increasing front velocities several orders of magnitude. By analyzing the spatial dynamics we prove that way beyond quantitative effects, nonlocal terms can also change the overall qualitative picture by inducing oscillations in the front profile. This leads to a mechanism for the formation of localized structures not present for local interactions. Finally, nonlocal coupling can induce a steep broadening of localized structures, eventually annihilating them.

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  • Received 14 December 2009

DOI:https://doi.org/10.1103/PhysRevLett.104.154101

©2010 American Physical Society

Authors & Affiliations

L. Gelens1,2, D. Gomila2, G. Van der Sande1, M. A. Matías2, and P. Colet2

  • 1Department of Applied Physics and Photonics, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, Belgium
  • 2IFISC, Instituto de Física Interdisciplinar y Sistemas Complejos (CSIC-UIB), Campus Universitat Illes Balears, E-07122 Palma de Mallorca, Spain

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Vol. 104, Iss. 15 — 16 April 2010

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