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Multistable Solitons In Higher-Dimensional Cubic-Quintic Nonlinear Schrodinger Lattices, C Chong, R Carretero-Gonzalez, Ba Malomed, Pg Kevrekidis

Mathematics and Statistics Department Faculty Publication Series

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 …