Accessible solitons of fractional dimension

Wei Ping Zhong; Milivoj Belić; Yiqi Zhang

doi:10.1016/j.aop.2016.02.007

Accessible solitons of fractional dimension

Wei Ping Zhong^*, Milivoj Belić, Yiqi Zhang

^*Corresponding author for this work

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

67 Citations (Scopus)

Abstract

We demonstrate that accessible solitons described by an extended Schrödinger equation with the Laplacian of fractional dimension can exist in strongly nonlocal nonlinear media. The soliton solutions of the model are constructed by two special functions, the associated Legendre polynomials and the Laguerre polynomials in the fraction-dimensional space. Our results show that these fractional accessible solitons form a soliton family which includes crescent solitons, and asymmetric single-layer and multi-layer necklace solitons.

Original language	English
Pages (from-to)	110-116
Number of pages	7
Journal	Annals of Physics
Volume	368
DOIs	https://doi.org/10.1016/j.aop.2016.02.007
Publication status	Published - 1 May 2016
Externally published	Yes

Keywords

Fraction-dimensional Schrödinger equation
Self-similar method
Strongly nonlocal nonlinear media

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10.1016/j.aop.2016.02.007

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title = "Accessible solitons of fractional dimension",

abstract = "We demonstrate that accessible solitons described by an extended Schr{\"o}dinger equation with the Laplacian of fractional dimension can exist in strongly nonlocal nonlinear media. The soliton solutions of the model are constructed by two special functions, the associated Legendre polynomials and the Laguerre polynomials in the fraction-dimensional space. Our results show that these fractional accessible solitons form a soliton family which includes crescent solitons, and asymmetric single-layer and multi-layer necklace solitons.",

keywords = "Fraction-dimensional Schr{\"o}dinger equation, Self-similar method, Strongly nonlocal nonlinear media",

author = "Zhong, {Wei Ping} and Milivoj Beli{\'c} and Yiqi Zhang",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2016",

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doi = "10.1016/j.aop.2016.02.007",

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volume = "368",

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T1 - Accessible solitons of fractional dimension

AU - Zhong, Wei Ping

AU - Belić, Milivoj

AU - Zhang, Yiqi

PY - 2016/5/1

Y1 - 2016/5/1

N2 - We demonstrate that accessible solitons described by an extended Schrödinger equation with the Laplacian of fractional dimension can exist in strongly nonlocal nonlinear media. The soliton solutions of the model are constructed by two special functions, the associated Legendre polynomials and the Laguerre polynomials in the fraction-dimensional space. Our results show that these fractional accessible solitons form a soliton family which includes crescent solitons, and asymmetric single-layer and multi-layer necklace solitons.

AB - We demonstrate that accessible solitons described by an extended Schrödinger equation with the Laplacian of fractional dimension can exist in strongly nonlocal nonlinear media. The soliton solutions of the model are constructed by two special functions, the associated Legendre polynomials and the Laguerre polynomials in the fraction-dimensional space. Our results show that these fractional accessible solitons form a soliton family which includes crescent solitons, and asymmetric single-layer and multi-layer necklace solitons.

KW - Fraction-dimensional Schrödinger equation

KW - Self-similar method

KW - Strongly nonlocal nonlinear media

UR - http://www.scopus.com/inward/record.url?scp=84959318555&partnerID=8YFLogxK

U2 - 10.1016/j.aop.2016.02.007

DO - 10.1016/j.aop.2016.02.007

M3 - Article

AN - SCOPUS:84959318555

SN - 0003-4916

VL - 368

SP - 110

EP - 116

JO - Annals of Physics

JF - Annals of Physics

ER -

Accessible solitons of fractional dimension

Abstract

Keywords

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