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

Abstract

The time-fractional modified KdV equation is committed to establish exact solutions by adopting bifurcation method. Firstly, the phase portraits and related qualitative analysis are comprehensively provided. Then, we point out parametric expressions of different types of solutions matching the corresponding orbits. Finally, solution profiles, 3D and density plots of some solutions are presented with suitable parametric choices.