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

Hubei University of Science and Technology
Texas A&M University at Qatar
University of Belgrade

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

22 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

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10.1007/s11071-016-2612-9

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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",

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

language = "English",

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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 - https://www.scopus.com/pages/publications/84955588090

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

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Keywords

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