Solitons in strongly driven discrete nonlinear Schrödinger-type models

Details Solitons in strongly driven discrete nonlinear Schrödinger-type models Solitons in strongly driven discrete nonlinear Schrödinger-type models

2006-11-02

arxiv.org/abs/nlin/0611004v1

Nonlinear Sciences

Pattern Formation and Solitons

20 pages, 12 figures

Scientific paper

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.

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