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New Explicit Solutions to the Nonlinear Modifed Zakharov–Kuznetsov Model for the Wave Deployment in Nonlinear Media

Abstract

In the paper, The Zakharov-Kuznetsov equation  differential  convey a significant role to analyze the inner mechanism of physical compound phenomenon in the field of two-dimensional discrete electrical lattice, the electrical waves in cold plasmas, plasma physics, nonlinear optics, wave behaviors of deep oceans, etc. By using the enhanced modified extended tanh expansion method.  The established solutions are in terms of trigonometric functions, rational functions, hyperbolic functions, The results reveal that the free parameters significantly influence the  existence of traveling waves, as well as nature, shape, and stability.  As a result, some new exact solutions for them are successfully established. It is indicated that the solutions obtained by the enhanced modified extended tanh expansion method, are reliable, straightforward and effective method for strongly nonlinear. This approach can also be applied to other nonlinear time.

Keywords: The Zakharov–Kuznetsov equation. the enhanced modified extended tanh expansion method, New Explicit Solutions

Amal M. Elshaer
Department of Mathematics, Shaqra Univercity, Faculty of Science, 17571, Afif , Saudi Arabia
Email: aalshaer@su.edu.sa  
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