Two-dimensional solitons in cubic-saturable media with PT-symmetric lattices

İzzet Göksel; Nalan Antar; İlkay Bakırtaş

doi:10.1016/j.chaos.2018.02.019

Two-dimensional solitons in cubic-saturable media with PT-symmetric lattices

İzzet Göksel, Nalan Antar, İlkay Bakırtaş^*

^*Corresponding author for this work

Department of Mathematics Engineering

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

7 Citations (Scopus)

Abstract

In this paper, we discuss the existence of lattice solitons supported by cubic-saturable nonlinearity in the framework of nonlinear Schrödinger (NLS) equation with external potentials such as parity-time-symmetric lattices with and without defects by using the pseudo-spectral renormalization method. Linear and nonlinear stability properties of the lattice solitons centered on the maximum of the PT-symmetric potential are investigated in detail.

Original language	English
Pages (from-to)	83-89
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	109
DOIs	https://doi.org/10.1016/j.chaos.2018.02.019
Publication status	Published - Apr 2018

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Ltd

Keywords

Cubic-saturable NLS
Optical soliton
PT-symmetry

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10.1016/j.chaos.2018.02.019

Cite this

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title = "Two-dimensional solitons in cubic-saturable media with PT-symmetric lattices",

abstract = "In this paper, we discuss the existence of lattice solitons supported by cubic-saturable nonlinearity in the framework of nonlinear Schr{\"o}dinger (NLS) equation with external potentials such as parity-time-symmetric lattices with and without defects by using the pseudo-spectral renormalization method. Linear and nonlinear stability properties of the lattice solitons centered on the maximum of the PT-symmetric potential are investigated in detail.",

keywords = "Cubic-saturable NLS, Optical soliton, PT-symmetry",

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

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doi = "10.1016/j.chaos.2018.02.019",

language = "English",

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AU - Göksel, İzzet

AU - Antar, Nalan

AU - Bakırtaş, İlkay

PY - 2018/4

Y1 - 2018/4

N2 - In this paper, we discuss the existence of lattice solitons supported by cubic-saturable nonlinearity in the framework of nonlinear Schrödinger (NLS) equation with external potentials such as parity-time-symmetric lattices with and without defects by using the pseudo-spectral renormalization method. Linear and nonlinear stability properties of the lattice solitons centered on the maximum of the PT-symmetric potential are investigated in detail.

AB - In this paper, we discuss the existence of lattice solitons supported by cubic-saturable nonlinearity in the framework of nonlinear Schrödinger (NLS) equation with external potentials such as parity-time-symmetric lattices with and without defects by using the pseudo-spectral renormalization method. Linear and nonlinear stability properties of the lattice solitons centered on the maximum of the PT-symmetric potential are investigated in detail.

KW - Cubic-saturable NLS

KW - Optical soliton

KW - PT-symmetry

UR - https://www.scopus.com/pages/publications/85042378346

U2 - 10.1016/j.chaos.2018.02.019

DO - 10.1016/j.chaos.2018.02.019

M3 - Article

AN - SCOPUS:85042378346

SN - 0960-0779

VL - 109

SP - 83

EP - 89

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

ER -

Two-dimensional solitons in cubic-saturable media with PT-symmetric lattices

Abstract

Bibliographical note

Keywords

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