期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 238, 期 2, 页码 126-136出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2008.10.002
关键词
Nonlinear Schrodinger equation; Solitons; Bifurcations; Nonlinear lattices; Higher-dimensional
资金
- Deutsche Forschungsgemeinschaft DFG
- Land Baden-Wurttemberg through the Graduiertenkolleg [GRK 1294/1]
- Analysis, Simulation und Design nanotechnologischer Prozesse
- NSF [DMS-0505663, DMS-0619492]
- NSF-CAREER
- Israel Science Foundation through the Center-of-Excellence [8006/03]
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.
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