Nonlinear Lattice Solitons in Saturable Media

İzzet Göksel; Ilkay Bakirtaş; Nalan Antar

doi:10.12785/AMIS/010144

Nonlinear Lattice Solitons in Saturable Media

İzzet Göksel, Ilkay Bakirtaş, Nalan Antar^*

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	377-385
Number of pages	9
Journal	Applied Mathematics and Information Sciences
Volume	9
Issue number	1
DOIs	https://doi.org/10.12785/AMIS/010144
Publication status	Published - Jan 2015

Bibliographical note

Publisher Copyright:
© 2015 NSP Natural Sciences Publishing Cor. All Rights Reserved.

Keywords

Penrose quasicrystal
Saturable NLS

Access to Document

10.12785/AMIS/010144

Cite this

@article{c13602306de74835821a5c872d797d9f,

title = "Nonlinear Lattice Solitons in Saturable Media",

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.",

keywords = "Penrose quasicrystal, Saturable NLS",

author = "İzzet G{\"o}ksel and Ilkay Bakirta{\c s} and Nalan Antar",

year = "2015",

month = jan,

doi = "10.12785/AMIS/010144",

language = "English",

volume = "9",

pages = "377--385",

journal = "Applied Mathematics and Information Sciences",

issn = "1935-0090",

publisher = "Natural Sciences Publishing",

number = "1",

}

TY - JOUR

T1 - Nonlinear Lattice Solitons in Saturable Media

AU - Göksel, İzzet

AU - Bakirtaş, Ilkay

AU - Antar, Nalan

PY - 2015/1

Y1 - 2015/1

N2 - 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.

AB - 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.

KW - Penrose quasicrystal

KW - Saturable NLS

UR - http://www.scopus.com/inward/record.url?scp=85108537227&partnerID=8YFLogxK

U2 - 10.12785/AMIS/010144

DO - 10.12785/AMIS/010144

M3 - Article

AN - SCOPUS:85108537227

SN - 1935-0090

VL - 9

SP - 377

EP - 385

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 1

ER -

Nonlinear Lattice Solitons in Saturable Media

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this