https://doi.org/10.1140/epjp/i2018-12020-4
Regular Article
A new approach to exact optical soliton solutions for the nonlinear Schrödinger equation
1
Facultad de Matemáticas, Universidad Autónoma de Guerrero, Av. Lázaro Cárdenas S/N, Cd. Universitaria, Chilpancingo, Guerrero, Mexico
2
CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, Mexico
3
Cankaya University, Faculty of Art and Sciences, Department of Mathematics, Balgat 0630, Ankara, Turkey
4
Institute of Space Sciences, P.O.BOX, MG-23, R 76900, Magurele-Bucharest, Romania
* e-mail: jgomez@cenidet.edu.mx
Received:
21
February
2018
Accepted:
16
April
2018
Published online:
18
May
2018
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018
