Stability of discrete solitons in the presence of parametric driving.

Full Abstract

In this Brief Report, we consider parametrically driven bright solitons in the vicinity of the anticontinuum limit. We illustrate the mechanism through which these solitons become unstable due to the collision of the phase mode with the continuous spectrum, or eigenvalues bifurcating thereof. We show how this mechanism typically leads to complete destruction of the bright solitary wave.

This information was obtained from the public area of Pubmed, part of the National Library of Medicine (NLM). Abstract text and other information may be subject to copyright.

Free Speed Reading Course Free Learning Styles Test Test Your Learning Skills Free

Author information

First Name	LastName	Initials
H	Susanto	H
Q E	Hoq	QE
P G	Kevrekidis	PG

Affiliation: Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA.

Grants:

Journal and publication information

Publication Type: Journal Article

Journal: Physical review. E, Statistical, nonlinear, and soft matter physics (Phys Rev E Stat Nonlin Soft Matter Phys).

Reference: 2006-Dec; vol 74 (issue 6 Pt 2) : pp 067601

Language: eng

PMID: 17280176 (status: PubMed-not-MEDLINE) (last retrieval date: 12/21/2007)

External Links for this article (including full text providers, if available):

For links to sites providing the full text of this article and related topics see links. Note there may be a subscription or fee required for access to the full text. See our FAQ for information on finding FREE full text articles.

MeSH headings (categories)

This article was linked to the MESH Headings shown below.

No MeSH Headings found.

The article may not be MeSH Indexed as yet.

These are the highest related articles currently in the database:

Solitons in strongly driven discrete nonlinear Schrödinger-type models. 30 Dec 2006
Subdiffractive discrete cavity solitons. 30 Jul 2007
Stable topological spatial solitons in optical parametric oscillators. 29 Jun 1997
Existence, bistability, and instability of Kerr-like parametric gap solitons in quadratic media. 13 Aug 1998
Mobility of discrete cavity solitons. 29 Nov 2005
Spectral-discrete solitons and localization in frequency space. 13 Nov 2006
Solitons in the Salerno model with competing nonlinearities. 27 Feb 2006
Discrete surface solitons in semi-infinite binary waveguide arrays. 30 Jul 2006
Discrete solitons and vortices in the two-dimensional Salerno model with competing nonlinearities. 30 Aug 2006
Spatial optical solitons resulting from multistep cascading. 30 May 1999

See 100+ related articles.