Light bullet supported by parity-time symmetric potential with power-law nonlinearity

Si Liu Xu; Nikola Petrović; Milivoj R. Belić; Zheng Long Hu

doi:10.1007/s11071-016-2612-9

Light bullet supported by parity-time symmetric potential with power-law nonlinearity

Si Liu Xu^*, Nikola Petrović, Milivoj R. Belić, Zheng Long Hu

^*Corresponding author for this work

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

20 Citations (Scopus)

Abstract

Using a similarity transformation, we find the light bullet solution of (3 + 1)-dimensional nonlinear Schrödinger equation with parity-time (PT) symmetric potential. The diffraction/dispersion and nonlinearity coefficients are chosen as longitudinally inhomogeneous functions. We demonstrate how intensity, width, phase, and chirp of the solution are modulated by the variation in diffraction/dispersion and by the choice of PT-potential. Dynamic characteristics of light bullets in media described by exponentially decreasing diffraction/dispersion and periodically modulated systems are illustrated.

Original language	English
Pages (from-to)	1877-1882
Number of pages	6
Journal	Nonlinear Dynamics
Volume	84
Issue number	4
DOIs	https://doi.org/10.1007/s11071-016-2612-9
Publication status	Published - 1 Jun 2016
Externally published	Yes

Keywords

Light bullet
Nonlinear Schrödinger equation
Parity-time symmetry

Access to Document

10.1007/s11071-016-2612-9

Cite this

@article{65e85f023902498a8030c6bf50339531,

title = "Light bullet supported by parity-time symmetric potential with power-law nonlinearity",

abstract = "Using a similarity transformation, we find the light bullet solution of (3 + 1)-dimensional nonlinear Schr{\"o}dinger equation with parity-time (PT) symmetric potential. The diffraction/dispersion and nonlinearity coefficients are chosen as longitudinally inhomogeneous functions. We demonstrate how intensity, width, phase, and chirp of the solution are modulated by the variation in diffraction/dispersion and by the choice of PT-potential. Dynamic characteristics of light bullets in media described by exponentially decreasing diffraction/dispersion and periodically modulated systems are illustrated.",

keywords = "Light bullet, Nonlinear Schr{\"o}dinger equation, Parity-time symmetry",

author = "Xu, {Si Liu} and Nikola Petrovi{\'c} and Beli{\'c}, {Milivoj R.} and Hu, {Zheng Long}",

note = "Publisher Copyright: {\textcopyright} 2016, Springer Science+Business Media Dordrecht.",

year = "2016",

month = jun,

day = "1",

doi = "10.1007/s11071-016-2612-9",

language = "English",

volume = "84",

pages = "1877--1882",

journal = "Nonlinear Dynamics",

issn = "0924-090X",

publisher = "Springer Netherlands",

number = "4",

}

TY - JOUR

T1 - Light bullet supported by parity-time symmetric potential with power-law nonlinearity

AU - Xu, Si Liu

AU - Petrović, Nikola

AU - Belić, Milivoj R.

AU - Hu, Zheng Long

PY - 2016/6/1

Y1 - 2016/6/1

N2 - Using a similarity transformation, we find the light bullet solution of (3 + 1)-dimensional nonlinear Schrödinger equation with parity-time (PT) symmetric potential. The diffraction/dispersion and nonlinearity coefficients are chosen as longitudinally inhomogeneous functions. We demonstrate how intensity, width, phase, and chirp of the solution are modulated by the variation in diffraction/dispersion and by the choice of PT-potential. Dynamic characteristics of light bullets in media described by exponentially decreasing diffraction/dispersion and periodically modulated systems are illustrated.

AB - Using a similarity transformation, we find the light bullet solution of (3 + 1)-dimensional nonlinear Schrödinger equation with parity-time (PT) symmetric potential. The diffraction/dispersion and nonlinearity coefficients are chosen as longitudinally inhomogeneous functions. We demonstrate how intensity, width, phase, and chirp of the solution are modulated by the variation in diffraction/dispersion and by the choice of PT-potential. Dynamic characteristics of light bullets in media described by exponentially decreasing diffraction/dispersion and periodically modulated systems are illustrated.

KW - Light bullet

KW - Nonlinear Schrödinger equation

KW - Parity-time symmetry

UR - http://www.scopus.com/inward/record.url?scp=84955588090&partnerID=8YFLogxK

U2 - 10.1007/s11071-016-2612-9

DO - 10.1007/s11071-016-2612-9

M3 - Article

AN - SCOPUS:84955588090

SN - 0924-090X

VL - 84

SP - 1877

EP - 1882

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 4

ER -

Light bullet supported by parity-time symmetric potential with power-law nonlinearity

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this