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A generalized nonlinear cubic-quartic Schrodinger equation and its implications in quantum wire

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  • Rami Ahmad El-Nabulsi

    (Chiang Mai University
    Chiang Mai University)

  • Waranont Anukool

    (Chiang Mai University
    Chiang Mai University
    Chiang Mai University)

Abstract

In this communication, we have constructed a generalized nonlinear Schrödinger equation based on nonlocal quantum momentum square operator. Single and bright singular combo solitons solutions have been obtained from quantum arguments. This study proves that solitons may be used to study nonlinear effects in nonlocal nonlinear media including nonlinear optics. Besides, it was observed that, near metal surface a quantum wire is governed, for particular kernels, by single electron symmetric soliton or a bright singular combo soliton depending on the nature of the potential energy originating from interaction of the electron with image charges in a quantum wire. These features are comparable to those soliton solutions arising in quantum optics and Bose–Einstein condensation. Graphical abstract Propagation of a single quasi-symmetric soliton based on nonlocal square momentum operator approach

Suggested Citation

  • Rami Ahmad El-Nabulsi & Waranont Anukool, 2023. "A generalized nonlinear cubic-quartic Schrodinger equation and its implications in quantum wire," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(5), pages 1-8, May.
    • Handle: RePEc:spr:eurphb:v:96:y:2023:i:5:d:10.1140_epjb_s10051-023-00518-x
    DOI: 10.1140/epjb/s10051-023-00518-x
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    References listed on IDEAS

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    1. Wladyslaw Adam Majewski, 2017. "On Quantum Statistical Mechanics: A Study Guide," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-9, November.
    2. T. Naito & H. Yamamoto & K. Okuda & K. Konishi & H. Mayama & D. Yamaguchi & S. Koizumi & K. Kubo & T. Nakamura, 2013. "Magnetic ordering of spin systems having fractal dimensions Experimental study," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(10), pages 1-9, October.
    3. Kudryashov, Nikolay A., 2020. "Highly dispersive optical solitons of equation with various polynomial nonlinearity law," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
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