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Mostafa Eslami

Mostafa Eslami

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address: University of Mazandaran
Phone: 01135302425

Research

Title
Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation
Type
JournalPaper
Keywords
Riccati equations, tanh method, analytical solution.
Year
2016
Journal computational methods for differential equations
DOI
Researchers Mostafa Eslami ، Ahmad Neirameh ، saead SHOKOOH

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.