Pi-kinks in a parametrically driven sine-Gordon chain

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

doi:10.1103/PhysRevB.45.7789

Pi-kinks in a parametrically driven sine-Gordon chain

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

Department of Physics

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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 language	English
Journal	Physical Review B
Volume	45
Issue number	14
Pages (from-to)	7789-7794
ISSN	2469-9950
DOIs	https://doi.org/10.1103/PhysRevB.45.7789
Publication status	Published - 1992

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Copyright (1992) by the American Physical Society.

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title = "Pi-kinks in a parametrically driven sine-Gordon chain",

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.",

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AU - Kivshar, Yuri S.

AU - Grønbech-Jensen, Niels

AU - Samuelsen, Mogens Rugholm

PY - 1992

Y1 - 1992

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevB.45.7789

DO - 10.1103/PhysRevB.45.7789

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EP - 7794

JO - Physical Review B

JF - Physical Review B

IS - 14

ER -

Pi-kinks in a parametrically driven sine-Gordon chain

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