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Browsing by Author "Morales-Delgado, V. F."

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    Article
    Citation - WoS: 11
    Citation - Scopus: 19
    A New Approach to Exact Optical Soliton Solutions for the Nonlinear Schrodinger Equation
    (Springer Heidelberg, 2018) Morales-Delgado, V. F.; Baleanu, Dumitru; Gomez-Aguilar, J. F.; Baleanu, Dumitru; 56389; Matematik
    By using the modified homotopy analysis transform method, we construct the analytical solutions of the space-time generalized nonlinear Schrodinger equation involving a new fractional conformable derivative in the Liouville-Caputo sense and the fractional-order derivative with the Mittag-Leffler law. Employing theoretical parameters, we present some numerical simulations and compare the solutions obtained.
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    Citation - WoS: 23
    Citation - Scopus: 25
    Modeling The Fractional Non-Linear Schrodinger Equation Via Liouville-Caputo Fractional Derivative
    (Elsevier Gmbh, 2018) Baleanu, Dumitru; Gomez-Aguilar, J. F.; Taneco-Hernandez, M. A.; Baleanu, Dumitru; 56389; Matematik
    In this paper the modified homotopy analysis transform method is applied to obtain approximate analytical solutions of the time-fractional non-linear Schrodinger equation. The fractional derivative is described in the Liouville-Caputo sense. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. New exact solutions are constructed under constraint conditions. Employing theoretical parameters, we present some numerical simulations. (C) 2018 Elsevier GmbH. All rights reserved.