Three-dimensional Hermite-Bessel solitons in strongly nonlocal media with variable potential coefficients

Si Liu Xu; Milivoj R. Belić

doi:10.1016/j.optcom.2013.09.043

Three-dimensional Hermite-Bessel solitons in strongly nonlocal media with variable potential coefficients

Si Liu Xu^*, Milivoj R. Belić

^*Corresponding author for this work

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

38 Citations (Scopus)

Abstract

We solve the three-dimensional nonlinear Schrödinger equation with variable parabolic potential coefficients in strongly nonlocal nonlinear media. Exact analytical solutions in the form of self-similar waves, namely the Hermite-Bessel solitons, are found. Higher-order Hermite-Bessel solitons, which can exist in various forms such as the three-dimensional vortex solitons and the multipole solitons are also discussed. To ascertain the stability of these analytical solutions during evolution, numerical simulations have been performed.

Original language	English
Pages (from-to)	62-69
Number of pages	8
Journal	Optics Communications
Volume	313
DOIs	https://doi.org/10.1016/j.optcom.2013.09.043
Publication status	Published - 2014
Externally published	Yes

Keywords

Hermite-Bessel solitons
Nonlocal nonlinear media
Self-similar transformation

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10.1016/j.optcom.2013.09.043

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title = "Three-dimensional Hermite-Bessel solitons in strongly nonlocal media with variable potential coefficients",

abstract = "We solve the three-dimensional nonlinear Schr{\"o}dinger equation with variable parabolic potential coefficients in strongly nonlocal nonlinear media. Exact analytical solutions in the form of self-similar waves, namely the Hermite-Bessel solitons, are found. Higher-order Hermite-Bessel solitons, which can exist in various forms such as the three-dimensional vortex solitons and the multipole solitons are also discussed. To ascertain the stability of these analytical solutions during evolution, numerical simulations have been performed.",

keywords = "Hermite-Bessel solitons, Nonlocal nonlinear media, Self-similar transformation",

author = "Xu, \{Si Liu\} and Beli{\'c}, \{Milivoj R.\}",

year = "2014",

doi = "10.1016/j.optcom.2013.09.043",

language = "English",

volume = "313",

pages = "62--69",

journal = "Optics Communications",

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T1 - Three-dimensional Hermite-Bessel solitons in strongly nonlocal media with variable potential coefficients

AU - Xu, Si Liu

AU - Belić, Milivoj R.

PY - 2014

Y1 - 2014

N2 - We solve the three-dimensional nonlinear Schrödinger equation with variable parabolic potential coefficients in strongly nonlocal nonlinear media. Exact analytical solutions in the form of self-similar waves, namely the Hermite-Bessel solitons, are found. Higher-order Hermite-Bessel solitons, which can exist in various forms such as the three-dimensional vortex solitons and the multipole solitons are also discussed. To ascertain the stability of these analytical solutions during evolution, numerical simulations have been performed.

AB - We solve the three-dimensional nonlinear Schrödinger equation with variable parabolic potential coefficients in strongly nonlocal nonlinear media. Exact analytical solutions in the form of self-similar waves, namely the Hermite-Bessel solitons, are found. Higher-order Hermite-Bessel solitons, which can exist in various forms such as the three-dimensional vortex solitons and the multipole solitons are also discussed. To ascertain the stability of these analytical solutions during evolution, numerical simulations have been performed.

KW - Hermite-Bessel solitons

KW - Nonlocal nonlinear media

KW - Self-similar transformation

UR - https://www.scopus.com/pages/publications/84886550943

U2 - 10.1016/j.optcom.2013.09.043

DO - 10.1016/j.optcom.2013.09.043

M3 - Article

AN - SCOPUS:84886550943

SN - 0030-4018

VL - 313

SP - 62

EP - 69

JO - Optics Communications

JF - Optics Communications

ER -

Three-dimensional Hermite-Bessel solitons in strongly nonlocal media with variable potential coefficients

Abstract

Keywords

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