Browsing by Author "Aslan, Ebru Cavlak"

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Citation - WoS: 6
On Numerical Solutions of Time-Fraction Generalized Hirota Satsuma Coupled Kdv Equation
(int Scientific Research Publications, 2017) Inc, Mustafa; Al Qurashi, Maysaa' Mohamed; Baleanu, Dumitru; Aslan, Ebru Cavlak
In this study, we obtain the approximate soliton solution of the fractional generalized Hirota-Satsuma coupled Kortewegde Vries equation (GHS-cKdV) within the homotopy analysis method (HAM). Numerical results are successfully compared with other solutions obtained by the differential transform method (DTM) and the homotopy perturbation method (HPM). The numerical results indicate that the only few terms are sufficient to get the correct solutions. Also, the results are given by tables and figures. (C) 2017 All rights reserved.
Citation - WoS: 32
Citation - Scopus: 33
Optical Solitons and Stability Analysis of the Nlse With Anti Cubic Nonlinearity
(Academic Press Ltd- Elsevier Science Ltd, 2017) Inc, Mustafa; Baleanu, Dumitru; Asian, Ebru Cavlak; Aslan, Ebru Cavlak
In this work, the Jacobi elliptic functions are used to obtain the optical solitons for NLSE with anti -cubic nonlinearity. As a result of the operations, dark and bright optical solitons are obtained. The stability analysis for the governing equation is analyzed and investigated. The constraint conditions for the existence of soliton are also determined. Three dimensional figures and the corresponding contour plots for the obtained solutions are plotted. (C) 2017 Elsevier Ltd. All rights reserved.