Stabilization of breathers in a parametrically driven sine-Gordon system with loss

N. Grønbech-Jensen, Yu. S. Kivshar, Mogens Rugholm Samuelsen

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Abstract

We demonstrate that in a parametrically driven sine-Gordon system with loss, a breather, if driven, can be maintained in a steady state at half the external frequency. In the small-amplitude limit the system is described by the effective perturbed nonlinear Schrödinger equation. For an arbitrary breather amplitude the threshold field is determined by a perturbation method and compared with direct numerical simulations. Excellent agreement is found.
Original languageEnglish
JournalPhysical Review B
Volume43
Issue number7
Pages (from-to)5698-5701
ISSN2469-9950
DOIs
Publication statusPublished - 1991

Bibliographical note

Copyright (1991) by the American Physical Society.

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