Browsing by Author "Baskonus, Haci Mehmet"

Now showing 1 - 4 of 4

Complex Wave Surfaces To the Extended Shallow Water Wave Model With (2+1)-Dimensional
(Univ Tabriz, 2020) Baskonus, Haci Mehmet; Eskitascioglu, Esin Ivan
In this paper, we apply an analytical method, namely, the sine-Gordon expansion method and extract some complex optical soliton solutions to the (2+1)-dimensional extended shallow water wave model, which describes the evolution of shallow water wave propagation. We obtain some complex mixed-dark and bright soliton solutions to this nonlinear model. Considering some suitable values of parameters, we plot the various dimensional simulations of every results found in this manuscript. We observe that our result may be useful in detecting some complex wave behaviors.
New Complex and Hyperbolic Forms for Ablowitz-Kaup Wave Equation With Fourth Order
(Walter de Gruyter Gmbh, 2019) Eskitascioglu, Esin Inan; Aktas, Muhammed Bahadirhan; Baskonus, Haci Mehmet
Researching different solutions of nonlinear models has been interesting in different fields of science and application. In this study, we investigated different solutions of fourth-order nonlinear Ablowitz-Kaup-Newell-Segur wave equation. We have used the sine-Gordon expansion method (SGEM) during this research. We have given the 2D, 3D, and contour graphs acquired from the values of the solutions obtained using strong SGEM.
Novel Behaviors To the Nonlinear Evolution Equation Describing the Dynamics of Ionic Currents Along Microtubules
(E D P Sciences, 2017) Baskonus, Haci Mehmet; Erdogan, Fevzi; Ozkul, Arif; Asmouh, Itham
In this work, we consider the Bernoulli sub-equation function method for obtaining novel behaviors to the nonlinear evolution equation describing the dynamics of ionic currents along Microtubules. We obtain new results by using this technique. We plot two-and three-dimensional surfaces of the results by using Wolfram Mathematica 9. At the end of this manuscript, we submit a conclusion in the comprehensive manner.
On the New Hyperbolic and Trigonometric Structures To the Simplified Mch and Srlw Equations
(Springer Heidelberg, 2017) Bulut, Hasan; Sulaiman, Tukur Abdulkadir; Erdogan, Fevzi; Baskonus, Haci Mehmet
With the aid of the Wolfram Mathematica software, the powerful sine-Gordon expansion method is used in constructing some new solutions to the two well-known nonlinear models, namely, the simplified modified Camassa-Holm and symmetric regularized long-wave equations. We obtain some novel complex, trigonometric and hyperbolic function solutions to these two equations. We also plot the three-dimensional and two-dimensional graphics for each solutions obtained using the same programming code in Wolfram Mathematica software. Finally, we submit a comprehensive conclusions.