Journal article
Exact solutions of a two-dimensional cubic–quintic discrete nonlinear Schrödinger equation
In
Physica Scripta
—
2011, Volume 84, Issue 6, pp. 065001
Abstract
We show that a two-dimensional generalized cubic–quintic Ablowitz–Ladik lattice admits periodic solutions that can be expressed in analytical form. The framework for the stability analysis of these solutions is developed and applied to reveal the intricate stability behavior of this nonlinear system.
We examine the stability of these solutions and find that staggering along one of the two dimensions is important for stability.
| Language: | English |
|---|---|
| Year: | 2011 |
| Pages: | 065001 |
| ISSN: | 00318949 and 14024896 |
| Types: | Journal article |
| DOI: | 10.1088/0031-8949/84/06/065001 |
