Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102769
Title: Anomalous autoresonance threshold for chirped-driven Korteweg-de-Vries waves
Authors: Friedland, L.
Shagalov, A. G.
Batalov, S. V.
Issue Date: 2015
Publisher: American Physical Society
Citation: Friedland L. Anomalous autoresonance threshold for chirped-driven Korteweg-de-Vries waves / L. Friedland, A. G. Shagalov, S. V. Batalov. — DOI 10.1103/PhysRevE.92.042924 // Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. — 2015. — Vol. 92. — Iss. 4. — 042924.
Abstract: Large amplitude traveling waves of the Korteweg-de-Vries (KdV) equation can be excited and controlled by a chirped frequency driving perturbation. The process involves capturing the wave into autoresonance (a continuous nonlinear synchronization) with the drive by passage through the linear resonance in the problem. The transition to autoresonance has a sharp threshold on the driving amplitude. In all previously studied autoresonant problems the threshold was found via a weakly nonlinear theory and scaled as α3/4,α being the driving frequency chirp rate. It is shown that this scaling is violated in a long wavelength KdV limit because of the increased role of the nonlinearity in the problem. A fully nonlinear theory describing the phenomenon and applicable to all wavelengths is developed. © 2015 American Physical Society.
Keywords: CONDENSED MATTER PHYSICS
DRIVING FREQUENCIES
FULLY NONLINEAR
KORTEWEG-DE VRIES
LINEAR RESONANCE
LONG WAVELENGTH
NONLINEAR SYNCHRONIZATION
SHARP THRESHOLD
WEAKLY NON-LINEAR THEORY
KORTEWEG-DE VRIES EQUATION
URI: http://hdl.handle.net/10995/102769
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 84946760890
PURE ID: 542232
a0091b7b-4f7e-455b-a92f-389d0d348bac
ISSN: 15393755
DOI: 10.1103/PhysRevE.92.042924
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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