Bifurcation and new exact traveling wave solutions for time-space fractional Phi-4 equation

被引：30
作者：
Li, Zhao [1 ]
Han, Tianyong [1 ]
Huang, Chun [2 ]
机构：
[1] Chengdu Univ, Coll Comp Sci, Chengdu 610106, Peoples R China
[2] Sichuan Vocat & Tech Coll, Fac Educ, Suining 629000, Peoples R China
来源：
AIP ADVANCES | 2020年 / 10卷 / 11期
关键词：
HOMOGENOUS BALANCED PRINCIPLE; 1ST INTEGRAL METHOD; SERIES;
D O I：
10.1063/5.0029159
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
In this paper, the dynamical behavior of a time-space fractional Phi-4 equation is investigated by utilizing the bifurcation method of a planar dynamical system. Under the given parameter conditions, phase portraits and bifurcations are obtained with the help of the mathematical software Maple. Moreover, some new exact traveling wave solutions are obtained, such as Jacobi elliptic function solutions, hyperbolic function solutions, trigonometric function solutions, kink solitary wave solutions, and periodic wave solutions.
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页数：7
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