1
Department of Mathematics, faculty of Science, Gonbad Kavous University, Gonbad, Iran
2
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Abstract
Some preliminaries about the integrable families of Riccati equations and solutions structure of these equations in several cases are presented in this paper, then by using of definitions for fractional derivative we apply the new extended of tanh method to the perturbed nonlinear fractional Schrodinger equation with the kerr law nonlinearity. Finally by using of this method and solutions of Riccati equations we obtain several analytical solutions for perturbed nonlinear fractional Schrodinger equation. The proposed technique enables a straightforward derivation of parameters of solitary solutions.
Neirameh, A., Shokooh, S., & Eslami, M. (2016). Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation. Computational Methods for Differential Equations, 4(4), 261-275.
MLA
Ahmad Neirameh; Saeid Shokooh; Mostafa Eslami. "Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation". Computational Methods for Differential Equations, 4, 4, 2016, 261-275.
HARVARD
Neirameh, A., Shokooh, S., Eslami, M. (2016). 'Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation', Computational Methods for Differential Equations, 4(4), pp. 261-275.
VANCOUVER
Neirameh, A., Shokooh, S., Eslami, M. Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation. Computational Methods for Differential Equations, 2016; 4(4): 261-275.
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