Publications by the Laboratory of Theoretical Physics

Solitons in strongly driven discrete nonlinear Schrodinger - type models, J. Garnier, F. Kh. Abdullaev, and M. Salerno, Phys. Rev. E  75, 016615 (2007).   [PDF-file (269 kB)] 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. The papers have Copyright © by the corresponding publishers. The papers may be downloaded for personal use only. Any other use requires prior permission of the author and the publisher.