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SeMA Journal

, Volume 76, Issue 1, pp 109–122 | Cite as

Obliquely propagating wave solutions to conformable time fractional extended Zakharov–Kuzetsov equation via the generalized exp(− Φ(ξ))-expansion method

  • F. Ferdous
  • M. G. HafezEmail author
  • M. Y. Ali
Article
  • 67 Downloads

Abstract

This work investigates the obliquely propagating wave solutions of conformable time fractional (2 + 1)-dimensional extended Zakharov–Kuzetsov equation (eZKE) for understanding the behavior of physical issues in science and engineering, especially in magnetized plasmas. The generalized exp(− Φ(ξ))-expansion method along with the conformable fractional derivatives is employed to obtain various types of exact solutions to eZKE. The traveling wave solutions of eZKE are represented in the forms of hyperbolic, trigonometric and rational functions with physical as well as some additional free parameters. It is found that the obliqueness and physical parameters are significantly modified the wave dynamics taking the appropriate values of free and physical parameters.

Keywords

Extended Zakharov–Kuzetsov equation Traveling wave solutions The generalized exp(−Φ(ξ))-expansion method Obliqueness 

Mathematics subject classification

35E99 35N05 35Q40 

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Copyright information

© Sociedad Española de Matemática Aplicada 2018

Authors and Affiliations

  1. 1.Department of MathematicsChittagong University of Engineering and TechnologyChittagongBangladesh

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