Khare, Avinash ; Rasmussen, KimØ ; Samuelsen, Mogens R. ; Saxena, Avadh (2011) Exact solutions of a two-dimensional cubic-quintic discrete nonlinear Schrödinger equation Physica Scripta, 84 (6). 065001_1-065001_6. ISSN 0031-8949
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Official URL: http://iopscience.iop.org/1402-4896/84/6/065001
Related URL: http://dx.doi.org/10.1088/0031-8949/84/06/065001
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Royal Swedish Academy of Sciences. |
| ID Code: | 83395 |
| Deposited On: | 21 Feb 2012 07:15 |
| Last Modified: | 21 Feb 2012 07:15 |
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