Solitons in strongly driven discrete nonlinear Schr\"odinger-type models
Pattern Formation and Solitons
2015-06-26 v1
Abstract
Discrete solitons in the Ablowitz-Ladik (AL) and discrete nonlinear Schr\"odinger (DNLS) equations with damping and strong rapid drive are investigated. The averaged equations have the forms of the parametric AL and DNLS equations. A new 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.
Cite
@article{arxiv.nlin/0611004,
title = {Solitons in strongly driven discrete nonlinear Schr\"odinger-type models},
author = {Josselin Garnier and Fatkhulla Abdullaev and Mario Salerno},
journal= {arXiv preprint arXiv:nlin/0611004},
year = {2015}
}
Comments
20 pages, 12 figures