Efficient techniques for traveling wave solutions of time-fractional Zakharov–Kuznetsov equation

Ghazala Akram, Maasoomah Sadaf, Muhammad Abbas, Iqra Zainab and Syeda Rijaa Gillani

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 193, issue C, 607-622

Abstract: This article manages the development of the traveling wave solutions of time-fractional Zakharov–Kuznetsov (ZK) equation by using the modified auxiliary equation method (MAEM) and analytical approximate solution that is constructed through the residual power series method (RPSM). The MAEM with time fractional beta-derivative is utilized to observe the effects of fractional parameter on the governing model. The RPSM is more useful to retrieve a particular form of wave solution when the initial behavior of the system is known. This method is observed by considering Caputo’s time fractional derivative. Some of the obtained results are graphically illustrated using 3D surface graphs and 2D line plots. The proposed methods are shown to be useful for construction of traveling wave solutions which are hoped to be beneficial in exploring different dynamical behaviors expressed by the equation.

Keywords: Time-fractional Zakharov–Kuznetsov equation; Modified auxiliary equation method; Residual power series method; Fractional beta-derivative; Caputo’s fractional derivative (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:193:y:2022:i:c:p:607-622

DOI: 10.1016/j.matcom.2021.11.004

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