期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 75, 期 1, 页码 59-69出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2017.08.043
关键词
Fractional differential equation; Dual power ZK-Burgers equation; Bifurcation; (G '/G)-expansion method; Traveling wave solution
In this article, we introduce the dual power Zakharov-Kuznetsov Burgers equation with fractional temporal evolution in the sense of modified Riemann-Liouville derivative. We investigate the dynamical behavior, bifurcations and phase portrait analysis of the exact traveling wave solutions of the system with and without damping effect. We apply the (G'/G)-expansion method in context of fractional complex transformation and seek a variety of exact traveling wave solutions including solitary wave, kink-type wave, breaking wave and periodic wave solutions of the equation. Furthermore, the remarkable features of the traveling wave solutions and phase portraits of dynamical system are demonstrated through interesting figures. (C) 2017 Elsevier Ltd. All rights reserved.
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