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On the solution of the space-time fractional cubic nonlinear Schrödinger equation
Journal article   Open access  Peer reviewed

On the solution of the space-time fractional cubic nonlinear Schrödinger equation

E.A. Yousif, E.A-B. Abdel-Salam and M.A. El-Aasser
Results in physics, Vol.8, pp.702-708
03/2018
DOI: https://doi.org/10.1016/j.rinp.2017.12.065

Abstract

Fractional mapping expansion method Modified Riemann–Liouville derivative Nonlinear fractional differential equation Space-time fractional nonlinear Schrödinger equation
The space–time fractional nonlinear Schrödinger equation is studied based on the modified Riemann–Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model. We discuss the effects of the fractional differential order on the W-soliton and bright soliton solutions. The derived solutions show direct proportionality between soliton intensities and the value of the fractional order derivative.
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https://doi.org/10.1016/j.rinp.2017.12.065View
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