Browsing by Author "Kilic, Bulent"

Now showing 1 - 6 of 6

Citation - WoS: 26
Citation - Scopus: 17
The First Integral Method for Wu-Zhang Nonlinear System With Time-Dependent Coefficients
(Editura Acad Romane, 2015) Baleanu, Dumitru; Baleanu, Dumitru; Kilic, Bulent; Inc, Mustafa; Matematik
The first integral method is used to construct traveling wave solutions of Wu-Zhang nonlinear dynamical system with time-dependent coefficients. We obtained different types of exact solutions by using two types of variable transformations. The method is an effective tool to construct the different types.of exact solutions of nonlinear partial differential equations having real world applications.
Citation - WoS: 35
Citation - Scopus: 38
Improved (g′/G)-expansion Method for the Time-Fractional Biological Population Model and Cahn-Hilliard Equation
(Asme, 2015) Ugurlu, Yavuz; Inc, Mustafa; Kilic, Bulent; Baleanu, Dumitru
In this paper, we used improved (G'/G)-expansion method to reach the solutions for some nonlinear time-fractional partial differential equations (fPDE). The fPDE is reduced to an ordinary differential equation (ODE) by means of Riemann-Liouille derivative and a basic variable transformation. Various types of functions are obtained for the time-fractional biological population model (fBPM) and Cahn-Hilliard (fCH) equation.
Citation - WoS: 15
Citation - Scopus: 15
On Combined Optical Solitons of the One-Dimensional Schrodinger's Equation With Time Dependent Coefficients
(de Gruyter Open Ltd, 2016) Inc, Mustafa; Baleanu, Dumitru; Kilic, Bulent
This paper integrates dispersive optical solitons in special optical metamaterials with a time dependent coefficient. We obtained some optical solitons of the aforementioned equation. It is shown that the examined dependent coefficients are affected by the velocity of the wave. The first integral method (FIM) and ansatz method are applied to reach the optical soliton solutions of the one-dimensional nonlinear Schrodinger's equation (NLSE) with time dependent coefficients.
On Optical Solitons of the Non-Local Nlse With Time Dependent Coefficients
(Natl inst Optoelectronics, 2016) Baleanu, Dumitru; Baleanu, Dumitru; Kilic, Bulent; Inc, Mustafa; Matematik
This paper integrates non-local nonlinear Schrodinger equation (NNLSE) with time dependent coefficients. The first integral method (FIM) is applied to report the optical soliton solutions of NNLSE with parabolic law nonlinearity and time dependent coefficients which are the terms of velocity dipersion, linear and nonlinear terms and also non-local one.
Citation - WoS: 20
Citation - Scopus: 20
On Soliton Solutions of the Wu-Zhang System
(de Gruyter Open Ltd, 2016) Kilic, Bulent; Karatas, Esra; Al Qurashi, Maysaa' Mohamed; Baleanu, Dumitru; Tchier, Fairouz; Inc, Mustafa
In this paper, the extended tanh and hirota methods are used to construct soliton solutions for the WuZhang (WZ) system. Singular solitary wave, periodic and multi soliton solutions of the WZ system are obtained.
Citation - WoS: 54
Citation - Scopus: 54
Optical Soliton Solutions of the Pulse Propagation Generalized Equation in Parabolic-Law Media With Space-Modulated Coefficients
(Elsevier Gmbh, 2016) Kilic, Bulent; Baleanu, Dumitru; Inc, Mustafa
In this paper, the Riccati equation is used to construct the soliton solutions for pulse propagation equation with z-dependent coefficients. The periodic wave and the optical soliton solutions are obtained for the pulse propagation equation with dependent coefficients. We show that the examined dependent coefficients effected the terms of equation's velocity. (C) 2015 Elsevier GmbH. All rights reserved.