期刊
DISCRETE DYNAMICS IN NATURE AND SOCIETY
卷 2020, 期 -, 页码 -出版社
HINDAWI LTD
DOI: 10.1155/2020/2845841
关键词
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资金
- Natural Science Foundation of Zhejiang Province [LY20A010016]
- National Natural Science Foundation of China [11931016]
- Fujian Province Young Middle-Aged Teachers Education Scientific Research Project [JT180558]
- Foundation of Science and Technology Project for the Education Department of Fujian Province [JA15512]
- Scientific Research Foundation for the Introduced Senior Talents, Wuyi University [YJ201802]
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 alpha. Phase portraits and simulations are given to show the validity of the obtained solutions.
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