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A new approach to exact optical soliton solutions for the nonlinear Schrödinger equation

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Abstract.

By using the modified homotopy analysis transform method, we construct the analytical solutions of the space-time generalized nonlinear Schrödinger 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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Correspondence to J. F. Gómez-Aguilar.

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Morales-Delgado, V.F., Gómez-Aguilar, J.F. & Baleanu, D. A new approach to exact optical soliton solutions for the nonlinear Schrödinger equation. Eur. Phys. J. Plus 133, 189 (2018). https://doi.org/10.1140/epjp/i2018-12020-4

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