Bifurcation and exact solutions for the ( \(2+1\) )-dimensional conformable time-fractional Zoomeron equation

Advances in Difference Equations

article

Li, Zhao¹  Han, Tianyong¹ 

[1] College of Computer Science, Chengdu University

关键词: Bifurcation;    \((G'/G)\) -expansion;    Exact solution;    Conformable fractional derivative;    ( \(2+1\) )-dimensional conformable time-fractional Zoomeron equation;   

DOI  :  10.1186/s13662-020-03119-5

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, the bifurcation and new exact solutions for the ( $2+1$ )-dimensional conformable time-fractional Zoomeron equation are investigated by utilizing two reliable methods, which are generalized$(G'/G)$ -expansion method and the integral bifurcation method. The exact solutions of the ( $2+1$ )-dimensional conformable time-fractional Zoomeron equation are obtained by utilizing the generalized$(G'/G)$ -expansion method, these solutions are classified as hyperbolic function solutions, trigonometric function solutions, and rational function solutions. Giving different parameter conditions, many integral bifurcations, phase portraits, and traveling wave solutions for the equation are obtained via the integral bifurcation method. Graphical representations of different kinds of the exact solutions reveal that the two methods are of significance for constructing the exact solutions of fractional partial differential equation.

【 授权许可】

CC BY