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

被引：0
|
作者：
Das, Amiya [1 ]
机构：
[1] Kazi Nazrul Univ, Dept Math, Asansol 713340, W Bengal, India
来源：
MATHEMATICAL MODELLING AND SCIENTIFIC COMPUTING WITH APPLICATIONS, ICMMSC 2018 | 2020年 / 308卷
关键词：
Fractional differential equation; Time fractional dual power; ZK-Burgers equation; Traveling wave solution; (G'/G)-expansion method; Bifurcation analysis; (G'/G)-EXPANSION METHOD; DIFFERENTIAL-EQUATIONS; EXPLICIT SOLUTIONS; STABILITY; EXISTENCE;
D O I：
10.1007/978-981-15-1338-1_3
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
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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页码：35 / 49
页数：15
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