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

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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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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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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Accessible spatiotemporal parabolic-cylinder solitons

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