Generalized exponential rational function method for extended Zakharov–Kuzetsov equation with conformable derivative

Author:

Ghanbari Behzad1,Osman M. S.23ORCID,Baleanu Dumitru45

Affiliation:

1. Department of Engineering Science, Kermanshah University of Technology, Kermanshah, Iran

2. Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt

3. Department of Mathematics, Duba University College, University of Tabuk, Saudi Arabia

4. Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara 06530, Turkey

5. Institute of Space Sciences, Magurele-Bucharest, P. O. Box MG-23, R 76900, Romania

Abstract

In this paper, new analytical obliquely propagating wave solutions for the time fractional extended Zakharov–Kuzetsov (FEZK) equation of conformable derivative are investigated. By using the main properties of the conformable derivative, the FEZK equation is transformed into integer-order differential equations, and the reduced equations are solved via the generalized exponential rational function method (GERFM). The shape and features for the resulting solutions are illustrated through three-dimensional (3D) plots and corresponding contour plots for various values of the free parameters.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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