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A New Approach to Exact Optical Soliton Solutions for the Nonlinear Schrodinger Equation

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2018

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Springer Heidelberg

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Matematik
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Abstract

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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Gomez-Aguilar, J.F./0000-0001-9403-3767

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Morales-Delgado, V. F.; Gomez-Aguilar, J. F.; Baleanu, Dumitru, "A new approach to exact optical soliton solutions for the nonlinear Schrodinger equation", European Physical Journal Plus, Vol. 133, No. 5, (2018)

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133

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5

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