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| Research article summary (published 27 Jan 2007): |
Solitons in strongly driven discrete nonlinear Schrödinger-type models.
Full Abstract
Discrete solitons in the Ablowitz-Ladik (AL) and discrete nonlinear Schrödinger (DNLS) equations with damping and strong rapid drive are investigated. The averaged equations have the forms of the parametric AL and DNLS equations. An additional type of parametric bright discrete soliton and cnoidal waves are found and the stability properties are analyzed. The analytical predictions of the perturbed inverse scattering transform are confirmed by the numerical simulations of the AL and DNLS equations with rapidly varying drive and damping.
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Author information
Author/s: Garnier, Josselin (J); Abdullaev, Fatkhulla Kh (FKh); Salerno, Mario (M);
Affiliation: Laboratoire de Probabilités et Modèles Aléatoires and Laboratoire Jacques-Louis Lions, Université Paris VII, 2 Place Jussieu, 75251 Paris Cedex 5, France. garnier(-atsign-)math.jussieu.fr
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), published in United States. (Language: eng)
Reference: 2007-Jan; vol 75 (issue 1 Pt 2) : pp 016615
Dates: Created 2007/03/15; Completed 2007/05/08;
PMID: 17358283, status: PubMed-not-MEDLINE (last retrieval date: 12/26/2008)
Sourced from the National Library of Medicine. Abstract text and other information may be subject to copyright.
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