Publication: Obtaining the soliton type solutions of the conformable time-fractional complex ginzburg-landau equation with kerr law nonlinearity by using two kinds of kudryashov methods
Date
2023-02-04
Authors
Authors
Akbulut, Arzu
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi
Abstract
The main idea of this study is to obtain the soliton-type solutions of the conformable time-fractional complex Ginzburg-Landau equation with Kerr law nonlinearity. For this aim, the generalized and modified Kudryashov methods are applied to the given model. The reason for using a conformable derivative is that the chain rule can be applied to this derivative. Thus, using the suitable wave transform, the given equation is converted into an ordinary differential equation. Then, the proposed methods are applied to the reduced equation. According to our results, both of the used methods are effective and powerful. Finally, 3D and contour plots are given for some results with suitable variables. Our findings in this paper are critical for explaining a wide range of scientific and physical applications. According to our knowledge, our results are new in the literature.
Description
Keywords
Optical solitons, Science & technology, Physical sciences, Mathematics