TY - JOUR ID - 5643 TI - Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Neirameh, Ahmad AU - Shokooh, Saeid AU - Eslami, Mostafa AD - Department of Mathematics, faculty of Science, Gonbad Kavous University, Gonbad, Iran AD - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran Y1 - 2016 PY - 2016 VL - 4 IS - 4 SP - 261 EP - 275 KW - Riccati equations KW - tanh method KW - Analytical solution DO - N2 - 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. UR - https://cmde.tabrizu.ac.ir/article_5643.html L1 - https://cmde.tabrizu.ac.ir/article_5643_67059c561d0c6654f169bd004b37123b.pdf ER -