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Bright and dark wirelike spatiotemporal solitons of a partially nonlocal nonlinear Schrödinger equation.

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Title: Bright and dark wirelike spatiotemporal solitons of a partially nonlocal nonlinear Schrödinger equation.
Authors: Zhu, Hai-Ping1 zhp63521@126.com, Qian, Li-Rong2
Source: Applied Mathematics Letters. Aug2018, Vol. 82, p118-125. 8p.
Subjects: Nonlinear Schrödinger equation, Solitons, Diffraction patterns, Nonlinear theories, Theory of wave motion, Hermite polynomials
Abstract: A (3+1)-dimensional nonautonomous partially nonlocal nonlinear Schrödinger equation with different diffractions is reduced to an autonomous nonlinear Schrödinger equation. Based on solutions of the autonomous nonlinear Schrödinger equation, and using the Darboux transformation method, spatiotemporal bright and dark soliton solutions are obtained. Dynamical evolution of wirelike spatiotemporal bright and dark single soliton, separated and interactive wirelike wave bright and dark double soliton structures are discussed in the sinusoidal diffraction system. For specified value of the parameter n in the Hermite polynomial, bright and dark single soliton, parallel separated bright and dark double soliton and interactive bright and dark double soliton structures all exist n + 1 columns in z -direction. [ABSTRACT FROM AUTHOR]
Copyright of Applied Mathematics Letters is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 128803914
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  Data: Bright and dark wirelike spatiotemporal solitons of a partially nonlocal nonlinear Schrödinger equation.
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  Data: A (3+1)-dimensional nonautonomous partially nonlocal nonlinear Schrödinger equation with different diffractions is reduced to an autonomous nonlinear Schrödinger equation. Based on solutions of the autonomous nonlinear Schrödinger equation, and using the Darboux transformation method, spatiotemporal bright and dark soliton solutions are obtained. Dynamical evolution of wirelike spatiotemporal bright and dark single soliton, separated and interactive wirelike wave bright and dark double soliton structures are discussed in the sinusoidal diffraction system. For specified value of the parameter n in the Hermite polynomial, bright and dark single soliton, parallel separated bright and dark double soliton and interactive bright and dark double soliton structures all exist n + 1 columns in z -direction. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Applied Mathematics Letters is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.aml.2018.03.005
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      – Code: eng
        Text: English
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        PageCount: 8
        StartPage: 118
    Subjects:
      – SubjectFull: Nonlinear Schrödinger equation
        Type: general
      – SubjectFull: Solitons
        Type: general
      – SubjectFull: Diffraction patterns
        Type: general
      – SubjectFull: Nonlinear theories
        Type: general
      – SubjectFull: Theory of wave motion
        Type: general
      – SubjectFull: Hermite polynomials
        Type: general
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      – TitleFull: Bright and dark wirelike spatiotemporal solitons of a partially nonlocal nonlinear Schrödinger equation.
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            NameFull: Qian, Li-Rong
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              Text: Aug2018
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              Value: 82
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