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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.
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.
Researchers saead SHOKOOH (Second Researcher), Ahmad Neirameh (First Researcher), Mostafa Eslami (Third Researcher)