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Analytical solutions of the time-fractional non-linear Schrodinger equation with zero and non zero trapping potential through the Sumudu decomposition method

Authors:

T. Mathanaranjan ,

University of Jaffna, LK
About T.
Department of Mathematics and Statistics
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K. Himalini

University of Jaffna, LK
About K.
Department of Mathematics and Statistics
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Abstract

Sumudu decomposition method is used to construct the approximate analytical solutions of time-fractional nonlinear Schrodinger equations with zero and nonzero trapping potential. The Sumudu decomposition method is a combined form of the Sumudu transform and the Adomian decomposition method. The fractional derivatives are defined in the Caputo sense. The exact solutions of some nonlinear Schrodinger equations are given as a special case of our approximate analytical solutions. The computations show that the described method is easy to apply, and it needs smaller size of computation as compared to the other existing methods. Further, the solutions are derived in a convergent series form which shows the effectiveness of the method for solving a wide variety of nonlinear fractional differential equations.
How to Cite: Mathanaranjan, T. and Himalini, K., 2019. Analytical solutions of the time-fractional non-linear Schrodinger equation with zero and non zero trapping potential through the Sumudu decomposition method. Journal of Science of the University of Kelaniya Sri Lanka, 12, pp.21–33. DOI: http://doi.org/10.4038/josuk.v12i0.8015
Published on 21 Nov 2019.
Peer Reviewed

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