Mobility of solitons in one-dimensional lattices with the cubic-quintic nonlinearityReport as inadecuate

Mobility of solitons in one-dimensional lattices with the cubic-quintic nonlinearity - Download this document for free, or read online. Document in PDF available to download.


We investigate mobility regimes for localized modes in the discrete nonlinear Schr¨odinger DNLS equationwith the cubic-quintic on-site terms. Using the variational approximation, the largest soliton’s total poweradmitting progressive motion of kicked discrete solitons is predicted by comparing the effective kinetic energywith the respective Peierls-Nabarro PN potential barrier. The prediction, for theDNLSmodelwith the cubic-onlynonlinearity too, demonstrates a reasonable agreement with numerical findings. A small self-focusing quinticterm quickly suppresses the mobility. In the case of the competition between the cubic self-focusing and quinticself-defocusing terms, we identify parameter regions where odd and even fundamental modes exchange theirstability, involving intermediate asymmetric modes. In this case, stable solitons can be set in motion by kicking,so as to let them pass the PN barrier. Unstable solitons spontaneously start oscillatory or progressive motion, ifthey are located, respectively, below or above a mobility threshold. Collisions between moving discrete solitons,at the competing nonlinearities frame, are studied too.Nota general

Artículo de publicación ISI

Author: Mejía Cortés, C.; - Vicencio Poblete, Rodrigo; - Malomed, Boris A.; -



Related documents