The two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method for solving the time-fractional partial differential equations

In this paper, we apply the two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method to seek exact traveling wave solutions (solitary wave solutions, periodic function solutions, rational function solution) for time-fractional Kuramoto-Sivashinsky...

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Bibliographic Details
Main Authors: Yunmei Zhao, Yinghui He, Huizhang Yang
Format: Article
Language:English
Published: AIMS Press 2020-05-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020264/fulltext.html
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Summary:In this paper, we apply the two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method to seek exact traveling wave solutions (solitary wave solutions, periodic function solutions, rational function solution) for time-fractional Kuramoto-Sivashinsky (K-S) equation, (3+1)-dimensional time-fractional KdV-Zakharov-Kuznetsov (KdV-ZK) equation and time-fractional Sharma-Tasso-Olver (FSTO) equation. The solutions are obtained in the form of hyperbolic, trigonometric and rational functions containing parameters. The results show that the two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method is simple, effctivet, straightforward and is the generalization of the (<em>G</em>'/<em>G</em>)-expansion method.
ISSN:2473-6988