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Neirameh, Ahmad, Shokooh, Saeid, Eslami, Mostafa. (1395). Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation. سامانه مدیریت نشریات علمی, 4(4), 261-275.
Ahmad Neirameh; Saeid Shokooh; Mostafa Eslami. "Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation". سامانه مدیریت نشریات علمی, 4, 4, 1395, 261-275.
Neirameh, Ahmad, Shokooh, Saeid, Eslami, Mostafa. (1395). 'Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation', سامانه مدیریت نشریات علمی, 4(4), pp. 261-275.
Neirameh, Ahmad, Shokooh, Saeid, Eslami, Mostafa. Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation. سامانه مدیریت نشریات علمی, 1395; 4(4): 261-275.

Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation

Computational Methods for Differential Equations
مقاله 1، دوره 4، شماره 4، دی 2016، صفحه 261-275    اصل مقاله (389.36 K)
نوع مقاله: Research Paper
نویسندگان
Ahmad Neirameh* 1؛ Saeid Shokooh1؛ Mostafa Eslami2
1Department of Mathematics, faculty of Science, Gonbad Kavous University, Gonbad, Iran
2Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
چکیده
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.
کلیدواژه‌ها
Riccati equations؛ tanh method؛ Analytical solution
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