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Titolo:
Internal dynamics of the parametrically excited bound state of double solitary-waves
Autore:
Wang, XL;
Indirizzi:
Nanjing Univ, Inst Acoust, Nanjing 210093, Peoples R China Nanjing Univ Nanjing Peoples R China 210093 jing 210093, Peoples R China Nanjing Univ, State Key Lab Modern Acoust, Nanjing 210093, Peoples R ChinaNanjing Univ Nanjing Peoples R China 210093 jing 210093, Peoples R China
Titolo Testata:
PHYSICA D
fascicolo: 1-2, volume: 127, anno: 1999,
pagine: 13 - 32
SICI:
0167-2789(19990301)127:1-2<13:IDOTPE>2.0.ZU;2-4
Fonte:
ISI
Lingua:
ENG
Soggetto:
NONLINEAR SCHRODINGER-EQUATION; FARADAY RESONANCE; SOLITONS; DRIVEN; SYSTEMS; STABILITY; LASER;
Keywords:
parametric resonance; solitary-waves; bound state; collapse and recreations; chaotic interaction;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
32
Recensione:
Indirizzi per estratti:
Indirizzo: Wang, XL Nanjing Univ, Inst Acoust, Nanjing 210093, Peoples R China Nanjing Univ Nanjing Peoples R China 210093 93, Peoples R China
Citazione:
X.L. Wang, "Internal dynamics of the parametrically excited bound state of double solitary-waves", PHYSICA D, 127(1-2), 1999, pp. 13-32

Abstract

The bound state of double solitary-waves in the parametrically-driven and damped nonlinear Schrodinger system behaves as a classic mechanical oscillator. Here we investigate its internal dynamics including the nonlinear complexity of the solitary-wave interactions. Analytically, it is proved that there is an attractive interaction between two solitary-waves of Like polarity (in-phase) and a repulsive interaction between two opposite polarity ones (180 degrees-out-of-phase). Numerical simulation shows that the attracting solitary-waves can form an oscillatory or standing bound state under a proper parametric pumping. The dynamical behaviors of the bound state are then concluded as a stability diagram in the parameter space. It is further revealed that the observed periodic "collisions" of the bound solitonic pulses do not follow the usual collision model in the classic sense, but are actually a dynamical process of the endless dissipative-induced collapses and parametric recreations of the solitary-waves. It is also found that there is a constructive role of damping dissipation in stabilizing and maintainingthe regular dynamics of "collisions". In weakly dissipative media, the parametric excitation of some other internal oscillation of high frequency canhave the solitary-wave interaction irregular or even chaotic. Finally, we extend the work and show the existence of the double-pulse bound state in some generalized parametrically driven and damped systems. (C) 1999 ElsevierScience B.V. All rights reserved.

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Documento generato il 18/09/20 alle ore 09:17:13