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Titolo:
Parametrically excited nonlinear waves and their localizations
Autore:
Wang, XL;
Indirizzi:
Nanjing Univ, State Key Lab Modern Acoust, Nanjing 210093, Peoples R ChinaNanjing Univ Nanjing Peoples R China 210093 jing 210093, Peoples R China Nanjing Univ, Inst Acoust, Nanjing 210093, Peoples R China Nanjing Univ Nanjing Peoples R China 210093 jing 210093, Peoples R China
Titolo Testata:
PHYSICA D
fascicolo: 3-4, volume: 154, anno: 2001,
pagine: 337 - 359
SICI:
0167-2789(20010615)154:3-4<337:PENWAT>2.0.ZU;2-6
Fonte:
ISI
Lingua:
ENG
Soggetto:
SCHRODINGER-EQUATION; FARADAY RESONANCE; SOLITONS; DRIVEN; DYNAMICS; SURFACE; STABILIZATION; STATES;
Keywords:
parametric excited waves; instability; nonlinear localizations; solitary-waves;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
23
Recensione:
Indirizzi per estratti:
Indirizzo: Wang, XL Nanjing Univ, State Key Lab Modern Acoust, Nanjing 210093, Peoples R China Nanjing Univ Nanjing Peoples R China 210093 93, Peoples R China
Citazione:
X.L. Wang, "Parametrically excited nonlinear waves and their localizations", PHYSICA D, 154(3-4), 2001, pp. 337-359

Abstract

The nonlinear wave dynamics in a parametrically resonant and dissipative system is studied both theoretically and numerically. It is found that spatially uniform waves are always subject to saddle-like or modulational instability if the system interval is sufficiently long. The unstable developments lead either to the transitions to solitary-waves or to the parametric amplification of the noidal wave whose wavelength is completely determined by the control strength. The noidal wave itself is shown to be unstable with respect to the breaking of its periodicity. Consequently, a cascade of coalescences occurs among neighboring wave peaks, and finally, the wave becomes highly localized. At a large driving strength, however, there also occurs areverse process, i.e., the parametric creations of solitonic pulses. As a result, localized pulses are constantly created and annihilated in an irregular way. (C) 2001 Elsevier Science B.V. All rights reserved.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 18/09/20 alle ore 09:29:30