Ercan ÇELİK

Article | 2022 | Optical and Quantum Electronics54 ( 5 )

In this study, some solitary wave solutions of the Wu-Zhang system are analyzed using the modified expansion function method and the sine-Gordon expansion method. Solitary wave solutions of this non-linear mathematical model consisting of hyperbolic and trigonometric function structures are get. Two and three dimensional, density graphics of the solitary solutions of the mathematical models are drawn by choosing the appropriate parameters. It was seen that all solution functions found as a result provide the mathematical model. In this study, Wolfram Mathematica software program was used for all mathematical calculations.

Ercan ÇELİK

Article | 2023 | Optical and Quantum Electronics55 ( 8 )

Fractional calculus is a field that is currently used in the world’s applications in many science and engineering fields where many models are still being developed and researched. The conformable time-fractional gives the full history of this function, which is the advantage of using fractional calculus to solve physical problems. In this study, the conformable time-fractional extended (2  1)-dimensional quantum Zakharov-Kuznetsov and the time-fractional modified Korteweg-de Vries equations are investigated by using the the modified exp (−Ω(ξ))-expansion function approach. Some new prototype analytical solutions such the hyperbolic . . . and trigonometric function solutions are successfully reached. The importance of current research is to derive new solutions using a strong analytical approach. All the reported solutions in this study have verified their corresponding model. Under the choice of suitable values of the parameters involved, the 3D and 2D to the obtained solutions are successfully plotted. Keyword: conformable derivative; hyperbolic function; the MEFM; trigonometric functio More less