کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1897079 | 1044487 | 2009 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Multistable solitons in higher-dimensional cubic–quintic nonlinear Schrödinger lattices Multistable solitons in higher-dimensional cubic–quintic nonlinear Schrödinger lattices](/preview/png/1897079.png)
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.
Journal: Physica D: Nonlinear Phenomena - Volume 238, Issue 2, 15 January 2009, Pages 126–136