Multistable solitons in higher-dimensional cubic-quintic nonlinear Schrödinger lattices |
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Authors: | C Chong R Carretero-González PG Kevrekidis |
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Institution: | a Institut für Analysis, Dynamik und Modellierung, Universität Stuttgart, Stuttgart 70178, Germany b Nonlinear Dynamical Systems Group, 11URL:http://nlds.sdsu.edu/. Computational Science Research Center, and Department of Mathematics and Statistics, San Diego State University, San Diego, CA 92182-7720, USA c Department of Physical Electronics, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel d Department of Mathematics and Statistics, University of Massachusetts, Amherst MA, 01003-4515, USA |
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Abstract: | We study the existence, stability, and mobility of fundamental discrete solitons in two- and three-dimensional nonlinear Schrödinger 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. |
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Keywords: | 52 35 Mw 42 65 -k 05 45 a 52 35 Sb |
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