Internal dynamics of the parametrically excited bound state of double solitary-waves
type: Item
instance of: scholarly article
title: Internal dynamics of the parametrically excited bound state of double solitary-waves
zbMATH Open document ID: 0941.37046
DOI: 10.1016/S0167-2789(98)90291-3
author: Xinlong Wang
published in: Physica D
publication date: 2000-01-31T00:00:00Z
review text: Using the concept of ``effective'' interaction potential the author shows why a pair of solitary-waves of like polarity can form a bound state and why a pair of opposite polarity cannot. The author investigates the damping effect and shows the significance of the damping effect on stabilizing. By contrast, in a weakly dissipative media, the parametric amplification of the high frequency oscillation leads to the complexity of the nonlinear interaction, and even the transition to chaos. Moreover, the author shows the existence of the double-pulse bound state in some generalized parametrically driven and damped systems.
Mathematics Subject Classification ID: 37K05
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37N20
zbMATH DE Number: 1395582
zbMATH Keywords: collapse
zbMATH Keywords: chaotic interaction
zbMATH Keywords: effective interaction potential
zbMATH Keywords: solitary-waves
zbMATH Keywords: double-pulse bound state
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: A perturbational approach to the two-soliton systems
cites work: Parametrically excited solitary waves
cites work: Q3994822
cites work: On localized solutions in nonlinear Faraday resonance
cites work: Bifurcations and nonlinear dynamics of surface waves in Faraday resonance
Wikidata QID: Q127236238
description: scientific article; zbMATH DE number 1395582