Lattice solitons in nonlinear Schrödinger equation with coupling-to-a-mean-term

Mahmut Bağcı; Nalan Antar

doi:10.1016/j.optcom.2016.09.005

Lattice solitons in nonlinear Schrödinger equation with coupling-to-a-mean-term

Mahmut Bağcı, Bakırtaş^*, Nalan Antar

^*Corresponding author for this work

Department of Mathematics Engineering

Istanbul Technical University

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

7 Citations (Scopus)

Abstract

Wave collapse is arrested in the self-focusing nonlinear Schrödinger equation with coupling to a mean term (NLSM) by adding an external potential (lattice) to the governing equation. It is numerically demonstrated that collapse will eventually occur in a lattice-free system and it can be suppressed by adding an external periodic lattice to the governing system. It is numerically shown that lattice depth provides great controllability on soliton stability and more robust solitons can be obtained.

Original language	English
Pages (from-to)	330-340
Number of pages	11
Journal	Optics Communications
Volume	383
DOIs	https://doi.org/10.1016/j.optcom.2016.09.005
Publication status	Published - 15 Jan 2017

Bibliographical note

Publisher Copyright:
© 2016 Elsevier B.V.

Keywords

NLSM equation
Nonlinear lattice soliton
Periodic lattice
Wave collapse

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10.1016/j.optcom.2016.09.005

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title = "Lattice solitons in nonlinear Schr{\"o}dinger equation with coupling-to-a-mean-term",

abstract = "Wave collapse is arrested in the self-focusing nonlinear Schr{\"o}dinger equation with coupling to a mean term (NLSM) by adding an external potential (lattice) to the governing equation. It is numerically demonstrated that collapse will eventually occur in a lattice-free system and it can be suppressed by adding an external periodic lattice to the governing system. It is numerically shown that lattice depth provides great controllability on soliton stability and more robust solitons can be obtained.",

keywords = "NLSM equation, Nonlinear lattice soliton, Periodic lattice, Wave collapse",

author = "Mahmut Bağcı and Bakırta{\c s} and Nalan Antar",

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year = "2017",

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doi = "10.1016/j.optcom.2016.09.005",

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AU - Bağcı, Mahmut

AU - Bakırtaş,

AU - Antar, Nalan

PY - 2017/1/15

Y1 - 2017/1/15

N2 - Wave collapse is arrested in the self-focusing nonlinear Schrödinger equation with coupling to a mean term (NLSM) by adding an external potential (lattice) to the governing equation. It is numerically demonstrated that collapse will eventually occur in a lattice-free system and it can be suppressed by adding an external periodic lattice to the governing system. It is numerically shown that lattice depth provides great controllability on soliton stability and more robust solitons can be obtained.

AB - Wave collapse is arrested in the self-focusing nonlinear Schrödinger equation with coupling to a mean term (NLSM) by adding an external potential (lattice) to the governing equation. It is numerically demonstrated that collapse will eventually occur in a lattice-free system and it can be suppressed by adding an external periodic lattice to the governing system. It is numerically shown that lattice depth provides great controllability on soliton stability and more robust solitons can be obtained.

KW - NLSM equation

KW - Nonlinear lattice soliton

KW - Periodic lattice

KW - Wave collapse

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U2 - 10.1016/j.optcom.2016.09.005

DO - 10.1016/j.optcom.2016.09.005

M3 - Article

AN - SCOPUS:84988362878

SN - 0030-4018

VL - 383

SP - 330

EP - 340

JO - Optics Communications

JF - Optics Communications

ER -

Lattice solitons in nonlinear Schrödinger equation with coupling-to-a-mean-term

Abstract

Bibliographical note

Keywords

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