Travelling Wave Solutions of Wu–Zhang System via Dynamic Analysis
Joint Authors
Bai, Yuzhen
Xia, Yonghui
Zheng, Hang
Lei, Guo
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, based on the dynamical system method, we obtain the exact parametric expressions of the travelling wave solutions of the Wu–Zhang system.
Our approach is much different from the existing literature studies on the Wu–Zhang system.
Moreover, we also study the fractional derivative of the Wu–Zhang system.
Finally, by comparison between the integer-order Wu–Zhang system and the fractional-order Wu–Zhang system, we see that the phase portrait, nonzero equilibrium points, and the corresponding exact travelling wave solutions all depend on the derivative order α.
Phase portraits and simulations are given to show the validity of the obtained solutions.
American Psychological Association (APA)
Zheng, Hang& Xia, Yonghui& Bai, Yuzhen& Lei, Guo. 2020. Travelling Wave Solutions of Wu–Zhang System via Dynamic Analysis. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1152926
Modern Language Association (MLA)
Zheng, Hang…[et al.]. Travelling Wave Solutions of Wu–Zhang System via Dynamic Analysis. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1152926
American Medical Association (AMA)
Zheng, Hang& Xia, Yonghui& Bai, Yuzhen& Lei, Guo. Travelling Wave Solutions of Wu–Zhang System via Dynamic Analysis. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1152926
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152926