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2020 | OriginalPaper | Chapter

Exact Traveling Wave Solutions and Bifurcation Analysis for Time Fractional Dual Power Zakharov-Kuznetsov-Burgers Equation

Author : Amiya Das

Published in: Mathematical Modelling and Scientific Computing with Applications

Publisher: Springer Singapore

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Abstract

In this paper, we introduce the time fractional dual power Zakharov-Kuznetsov-Burgers equation in the sense of modified Riemann-Liouville derivative. We briefly describe one direct ansatz method namely \((G'/G)\)-expansion method in adherence of fractional complex transformation and applying this method exploit miscellaneous exact traveling wave solutions including solitary wave, kink-type wave, breaking wave and periodic wave solutions of the equation. Next we investigate the dynamical behavior, bifurcations and phase portrait analysis of the exact traveling wave solutions of the system in presence and absence of damping effect. Moreover, we demonstrate the exceptional features of the traveling wave solutions and phase portraits of planar dynamical system via interesting figures.

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Title: Exact Traveling Wave Solutions and Bifurcation Analysis for Time Fractional Dual Power Zakharov-Kuznetsov-Burgers Equation
Author: Amiya Das
Publisher: Springer Singapore
Book: Mathematical Modelling and Scientific Computing with Applications
Print ISBN: 978-981-15-1337-4

Electronic ISBN: 978-981-15-1338-1

Copyright Year: 2020
DOI: https://doi.org/10.1007/978-981-15-1338-1_3

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