Publication Date
2009
Journal or Book Title
PHYSICA D-NONLINEAR PHENOMENA
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.
Pages
126-136
Volume
238
Issue
2
Recommended Citation
Chong, C; Carretero-Gonzalez, R; Malomed, BA; and Kevrekidis, PG, "Multistable solitons in higher-dimensional cubic-quintic nonlinear Schrodinger lattices" (2009). PHYSICA D-NONLINEAR PHENOMENA. 61.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/61
Comments
This is the prepublished version harvested from ArXiv. The published version is located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVK-4TP49J0-1&_user=1516330&_coverDate=01%2F15%2F2009&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_acct=C000053443&_version=1&_urlVersion=0&_userid=1516330&md5=bce1763258075f2ae01d6c197f254543&searchtype=a