Staggered and short-period solutions of the saturable discrete nonlinear Schrödinger equation

Khare, Avinash ; Rasmussen, Kim∅ ; Samuelsen, Mogens R. ; Saxena, Avadh (2009) Staggered and short-period solutions of the saturable discrete nonlinear Schrödinger equation Journal of Physics A: Mathematical and Theoretical, 42 (8). 085002_1-085002_6. ISSN 1751-8113

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Official URL: http://iopscience.iop.org/1751-8121/42/8/085002

Related URL: http://dx.doi.org/10.1088/1751-8113/42/8/085002

Abstract

We point out that the nonlinear Schrödinger lattice with a saturable nonlinearity also admits staggered periodic as well as localized pulse-like solutions. Further, the same model also admits solutions with a short period. We examine the stability of these solutions and find that the staggered as well as the short-period solutions are stable in most cases. We also show that the effective Peierls-Nabarro barrier for the pulse-like soliton solutions is zero.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
ID Code:83383
Deposited On:20 Feb 2012 09:26
Last Modified:19 May 2016 00:15

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