Solitons in strongly driven discrete nonlinear Schrödinger-type models
Josselin GarnierLaboratoire de Probabilités et Modèles Aléatoires and Laboratoire Jacques-Louis Lions, Université Paris VII, 2 Place Jussieu, 75251 Paris Cedex 5, France. [email protected]F. Kh. AbdullaevPhysical-Technical Institute of the Uzbekistan Academy of Sciences, 700084, Tashkent-84, G. Mavlyanov street, 2-b, UzbekistanMario SalernoDipartimento di Fisica “E.R. Caianiello,” Università di Salerno, 84081 Baronissi (SA), Italy
ABI
Annotatsiya
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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