Accessible spatiotemporal parabolic-cylinder solitons

Wei Ping Zhong; Milivoj R. Belić; Boris A. Malomed; Tingwen Huang; Goong Chen

doi:10.1088/0953-4075/46/7/075401

Accessible spatiotemporal parabolic-cylinder solitons

Wei Ping Zhong^*, Milivoj R. Belić, Boris A. Malomed, Tingwen Huang, Goong Chen

^*Corresponding author for this work

School of Electrical Engineering

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

Abstract

We study analytically and numerically 'accessible' spatiotemporal solitons in a three-dimensional strongly nonlocal nonlinear medium. A general localized soliton solution of the 'acceptable' type is obtained in the Cartesian coordinates, using even and odd parabolic-cylinder functions. Characteristics of these accessible spatiotemporal solitons are discussed. The validity of the analytical solutions and their stability is verified by means of direct numerical simulations.

Original language	English
Article number	075401
Journal	Journal of Physics B: Atomic, Molecular and Optical Physics
Volume	46
Issue number	7
DOIs	https://doi.org/10.1088/0953-4075/46/7/075401
State	Published - 14 Apr 2013

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title = "Accessible spatiotemporal parabolic-cylinder solitons",

abstract = "We study analytically and numerically 'accessible' spatiotemporal solitons in a three-dimensional strongly nonlocal nonlinear medium. A general localized soliton solution of the 'acceptable' type is obtained in the Cartesian coordinates, using even and odd parabolic-cylinder functions. Characteristics of these accessible spatiotemporal solitons are discussed. The validity of the analytical solutions and their stability is verified by means of direct numerical simulations.",

author = "Zhong, {Wei Ping} and Beli{\'c}, {Milivoj R.} and Malomed, {Boris A.} and Tingwen Huang and Goong Chen",

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T1 - Accessible spatiotemporal parabolic-cylinder solitons

AU - Zhong, Wei Ping

AU - Belić, Milivoj R.

AU - Malomed, Boris A.

AU - Huang, Tingwen

AU - Chen, Goong

PY - 2013/4/14

Y1 - 2013/4/14

N2 - We study analytically and numerically 'accessible' spatiotemporal solitons in a three-dimensional strongly nonlocal nonlinear medium. A general localized soliton solution of the 'acceptable' type is obtained in the Cartesian coordinates, using even and odd parabolic-cylinder functions. Characteristics of these accessible spatiotemporal solitons are discussed. The validity of the analytical solutions and their stability is verified by means of direct numerical simulations.

AB - We study analytically and numerically 'accessible' spatiotemporal solitons in a three-dimensional strongly nonlocal nonlinear medium. A general localized soliton solution of the 'acceptable' type is obtained in the Cartesian coordinates, using even and odd parabolic-cylinder functions. Characteristics of these accessible spatiotemporal solitons are discussed. The validity of the analytical solutions and their stability is verified by means of direct numerical simulations.

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U2 - 10.1088/0953-4075/46/7/075401

DO - 10.1088/0953-4075/46/7/075401

M3 - מאמר

AN - SCOPUS:84875659191

VL - 46

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

SN - 0953-4075

IS - 7

M1 - 075401

ER -

Accessible spatiotemporal parabolic-cylinder solitons

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