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

Niels GrønbechJensen | Zendy; Yu. S. Kivshar | Zendy; M. R. Samuelsen | Zendy

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

Author(s) -

Niels GrønbechJensen,

Yu. S. Kivshar,

M. R. Samuelsen

Publication year - 1991

Publication title -

physical review. b, condensed matter

Language(s) - English

Resource type - Journals

eISSN - 1095-3795

pISSN - 0163-1829

DOI - 10.1103/physrevb.43.5698

Subject(s) - breather , physics , amplitude , nonlinear system , perturbation (astronomy) , sine gordon equation , limit (mathematics) , sine , quantum electrodynamics , sine wave , classical mechanics , perturbation theory (quantum mechanics) , mathematical analysis , quantum mechanics , mathematics , soliton , geometry , voltage

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 Schr\"odinger 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.

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