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arXiv · 0804.0497

Multistable Solitons in Higher-Dimensional Cubic-Quintic Nonlinear Schroedinger Lattices

C. Chong·R. Carretero-Gonzalez·B. A. Malomed·P. G. Kevrekidis
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Abstract

We study the existence, stability, and mobility of fundamental discrete solitons in two- and three-dimensional nonlinear Schroedinger 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 crafted Peierls-Nabarro barrier; however, they eventually come to a halt, due to radiation loss.

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C. Chong, R. Carretero-Gonzalez, B. A. Malomed, P. G. Kevrekidis. 2008-04-03. Multistable Solitons in Higher-Dimensional Cubic-Quintic Nonlinear Schroedinger Lattices. https://doi.org/10.1016/j.physd.2008.10.002

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