Nonlinear Lattice Solitons in Saturable Media

Authors

İzzet G?ksel, Department of Mathematics, Istanbul Technical University, Maslak 34469, Istanbul, TurkeyFollow
İlkay Bakırtaş, Department of Mathematics, Istanbul Technical University, Maslak 34469, Istanbul, TurkeyFollow
Nalan Antar, Department of Mathematics, Istanbul Technical University, Maslak 34469, Istanbul, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

Using computational methods, the numerical existence and nonlinear stability of fundamental solitons in saturable media on crystal and certain type of quasicrystal lattices are investigated. In a certain parameter regime of the lattice depth and the propagation constant, the first nonlinear band-gap structures are obtained and the effect of the DC bias field (external electric field) and the lattice depth to the gap width are analyzed.

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/090144

Recommended Citation

G?ksel, İzzet; Bakırtaş, İlkay; and Antar, Nalan (2015) "Nonlinear Lattice Solitons in Saturable Media," Applied Mathematics & Information Sciences: Vol. 09: Iss. 1, Article 51.
DOI: http://dx.doi.org/10.12785/amis/090144
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss1/51