Multistable solitons in higher-dimensional cubic-quintic nonlinear Schrodinger lattices

PHYSICA D-NONLINEAR PHENOMENA

卷:238

Article

Chong, C.¹  Carretero-Gonzalez, R.^2,3  Malomed, B. A.⁴  Kevrekidis, P. G.⁵ 

[1] Univ Stuttgart, Inst Anal Dynam & Modellierung, D-70178 Stuttgart, Germany

[2] San Diego State Univ, Computat Sci Res Ctr, Nonlinear Dynam Syst Grp, San Diego, CA 92182 USA

[3] San Diego State Univ, Dept Math & Stat, San Diego, CA 92182 USA

[4] Tel Aviv Univ, Fac Engn, Dept Phys Elect, IL-69978 Tel Aviv, Israel

[5] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

关键词: Nonlinear Schrodinger equation;    Solitons;    Bifurcations;    Nonlinear lattices;    Higher-dimensional;   

DOI  :  10.1016/j.physd.2008.10.002

来源: Elsevier

【 摘 要 】

We study the existence, stability, and mobility of fundamental discrete solitons in two- and three-dimensional nonlinear Schrodinger lattices with a combination of cubic self-focusing and quintic self-defocusing onsite nonlinearities. Several species of stationary solutions are constructed, and bifurcations linking their families are investigated using parameter continuation starting from the anti-continuum limit, and also with the help of a variational approximation. In particular, a species of hybrid solitons, intermediate between the site- and bond-centered types of the localized states (with no counterpart in the 1D model), is analyzed in 2D and 3D lattices. We also discuss the mobility of multi-dimensional discrete solitons that can be set in motion by lending them kinetic energy exceeding the appropriately defined Peierls-Nabarro barrier; however, they eventually come to a halt, due to radiation loss. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free