A family of nonlinear Schrodinger equations and their solitons solutions

Rami Ahmad El-Nabulsi and Waranont Anukool

Chaos, Solitons & Fractals, 2023, vol. 166, issue C

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.

Keywords: Fractional Laplacian; Fractional derivatives; Fractal dimensions; Nonlinear Schrödinger equation; Solitons (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922010864

DOI: 10.1016/j.chaos.2022.112907

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