Pi-kinks in a parametrically driven sine-Gordon chain

Yuri S. Kivshar, Niels Grønbech-Jensen, Mogens Rugholm Samuelsen

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Abstract

We consider the sine-Gordon chain driven by a high-frequency parametric force in the presence of loss. Using an analytical approach based on the method of averaging in fast oscillations, we predict that such a parametric force may support propagation of π kinks, which are unstable in the standard sine-Gordon model. The steady-state velocity of the π kinks is calculated, and the analytical results are in good agreement with direct numerical simulations.
Original languageEnglish
JournalPhysical Review B
Volume45
Issue number14
Pages (from-to)7789-7794
ISSN2469-9950
DOIs
Publication statusPublished - 1992

Bibliographical note

Copyright (1992) by the American Physical Society.

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