Khare, Avinash ; Rasmussen, Kim∅ ; Samuelsen, Mogens R. ; Saxena, Avadh (2010) Exact solutions of the two-dimensional discrete nonlinear Schrödinger equation with saturable nonlinearity Journal of Physics A: Mathematical and Theoretical, 43 (37). No pp. given. ISSN 1751-8113
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Official URL: http://iopscience.iop.org/1751-8121/43/37/375209
Related URL: http://dx.doi.org/10.1088/1751-8113/43/37/375209
Abstract
We show that the two-dimensional, nonlinear Schrödinger lattice with a saturable nonlinearity admits periodic and pulse-like exact solutions. We establish the general formalism for the stability considerations of these solutions and give examples of stability diagrams. Finally, we show that the effective Peierls-Nabarro barrier for the pulse-like soliton solution is zero.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Physics. |
| ID Code: | 83390 |
| Deposited On: | 21 Feb 2012 07:13 |
| Last Modified: | 21 Feb 2012 07:13 |
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