Exact solutions of a time-fractional modified KdV equation via bifurcation analysis

doi:10.1088/1674-1056/acf9e8

Abstract The time-fractional modified Korteweg-de Vries (KdV) equation is committed to establish exact solutions by employing the bifurcation method. Firstly, the phase portraits and related qualitative analysis are comprehensively provided. Then, we give parametric expressions of different types of solutions matching with the corresponding orbits. Finally, solution profiles, 3D and density plots of some solutions are presented with proper parametric choices.

Keywords: the time-fractional modified KdV equation bifurcation analysis exact solutions

Received: 07 August 2023
Revised: 14 September 2023
Accepted manuscript online: 15 September 2023

PACS:	02.30.Oz	(Bifurcation theory)
	02.30.Jr	(Partial differential equations)
	04.20.Jb	(Exact solutions)

Fund: Project supported by the Natural Science Foundation of Shandong Province (Grant No.ZR2021MA084), the Natural Science Foundation of Liaocheng University (Grant No.318012025), and Discipline with Strong Characteristics of Liaocheng University—Intelligent Science and Technology (Grant No.319462208).

Corresponding Authors: Zeng-Gui Wang
E-mail: wangzenggui@lcu.edu.cn

Cite this article:

Min-Yuan Liu(刘敏远), Hui Xu(许慧), and Zeng-Gui Wang(王增桂) Exact solutions of a time-fractional modified KdV equation via bifurcation analysis 2023 Chin. Phys. B 32 120204

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