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A family of nonlinear Schrodinger equations and their solitons solutions

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  • El-Nabulsi, Rami Ahmad
  • Anukool, Waranont

Abstract

In this communication, three different forms of fractional nonlinear Schrödinger equations have been constructed based on the notion of nonlocal generalized fractional momentum operator, the fractional expansion Riccati method and the notion of Laplacian operator in fractal dimensions. Their physical properties are analyzed and their associated solitonic solutions are obtained and discussed. It was observed that the first two approaches give comparable solutions, whereas the third approach give rise to a nonlinear Schrödinger equation characterized by variable coefficients, and hence, a large family of solitons solutions may be obtained accordingly.

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  • El-Nabulsi, Rami Ahmad & Anukool, Waranont, 2023. "A family of nonlinear Schrodinger equations and their solitons solutions," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    • Handle: RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922010864
    DOI: 10.1016/j.chaos.2022.112907
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    References listed on IDEAS

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    1. Sara H. M. Hamed & Eltayeb A. Yousif & Arbab I. Arbab, 2014. "Analytic and Approximate Solutions of the Space-Time Fractional Schrödinger Equations by Homotopy Perturbation Sumudu Transform Method," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-13, October.
    2. Jason W. Fleischer & Mordechai Segev & Nikolaos K. Efremidis & Demetrios N. Christodoulides, 2003. "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature, Nature, vol. 422(6928), pages 147-150, March.
    3. Chenkuan Li & Changpin Li & Thomas Humphries & Hunter Plowman, 2019. "Remarks on the Generalized Fractional Laplacian Operator," Mathematics, MDPI, vol. 7(4), pages 1-17, March.
    4. 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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    Cited by:

    1. Dong, Hoang Minh & Hien, Nguyen Thi Thu & Bang, Nguyen Huy & Van Doai, Le, 2024. "Dynamics of twin pulse propagation and dual-optical switching in a Λ + Ξ atomic medium," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

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