Solitons of (1+1)D cubic-quintic nonlinear Schrödinger equation with PT-symmetric potentials

Izzet Göksel; Nalan Antar; Ilkay Bakirtaş

doi:10.1016/j.optcom.2015.05.051

Solitons of (1+1)D cubic-quintic nonlinear Schrödinger equation with PT-symmetric potentials

Izzet Göksel, Nalan Antar, Ilkay Bakirtaş^*

^*Corresponding author for this work

Department of Mathematics Engineering

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

20 Citations (Scopus)

Abstract

In this paper, the existence and stability properties of optical solitons on parity-time (PT) symmetric lattices are investigated. The governing equation for the physical model is the (1+1)D cubic-quintic nonlinear Schrödinger equation (CQNLS) with a PT-symmetric potential. The solution to this equation is obtained both analytically and numerically by spectral methods. The numerical existence of fundamental solitons on PT-symmetric lattices is shown for various medium and potential depths.

Original language	English
Pages (from-to)	277-285
Number of pages	9
Journal	Optics Communications
Volume	354
DOIs	https://doi.org/10.1016/j.optcom.2015.05.051
Publication status	Published - 18 Jun 2015

Bibliographical note

Publisher Copyright:
© 2015 Elsevier B.V.

Keywords

CQNLS
Optical soliton
PT-symmetry

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10.1016/j.optcom.2015.05.051

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title = "Solitons of (1+1)D cubic-quintic nonlinear Schr{\"o}dinger equation with PT-symmetric potentials",

abstract = "In this paper, the existence and stability properties of optical solitons on parity-time (PT) symmetric lattices are investigated. The governing equation for the physical model is the (1+1)D cubic-quintic nonlinear Schr{\"o}dinger equation (CQNLS) with a PT-symmetric potential. The solution to this equation is obtained both analytically and numerically by spectral methods. The numerical existence of fundamental solitons on PT-symmetric lattices is shown for various medium and potential depths.",

keywords = "CQNLS, Optical soliton, PT-symmetry",

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

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year = "2015",

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day = "18",

doi = "10.1016/j.optcom.2015.05.051",

language = "English",

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T1 - Solitons of (1+1)D cubic-quintic nonlinear Schrödinger equation with PT-symmetric potentials

AU - Göksel, Izzet

AU - Antar, Nalan

AU - Bakirtaş, Ilkay

PY - 2015/6/18

Y1 - 2015/6/18

N2 - In this paper, the existence and stability properties of optical solitons on parity-time (PT) symmetric lattices are investigated. The governing equation for the physical model is the (1+1)D cubic-quintic nonlinear Schrödinger equation (CQNLS) with a PT-symmetric potential. The solution to this equation is obtained both analytically and numerically by spectral methods. The numerical existence of fundamental solitons on PT-symmetric lattices is shown for various medium and potential depths.

AB - In this paper, the existence and stability properties of optical solitons on parity-time (PT) symmetric lattices are investigated. The governing equation for the physical model is the (1+1)D cubic-quintic nonlinear Schrödinger equation (CQNLS) with a PT-symmetric potential. The solution to this equation is obtained both analytically and numerically by spectral methods. The numerical existence of fundamental solitons on PT-symmetric lattices is shown for various medium and potential depths.

KW - CQNLS

KW - Optical soliton

KW - PT-symmetry

UR - http://www.scopus.com/inward/record.url?scp=84935907207&partnerID=8YFLogxK

U2 - 10.1016/j.optcom.2015.05.051

DO - 10.1016/j.optcom.2015.05.051

M3 - Article

AN - SCOPUS:84935907207

SN - 0030-4018

VL - 354

SP - 277

EP - 285

JO - Optics Communications

JF - Optics Communications

ER -

Solitons of (1+1)D cubic-quintic nonlinear Schrödinger equation with PT-symmetric potentials

Abstract

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Keywords

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