Author(s)

Kelei Zhang^*, Zhenfeng Zhang, Tao Yuwen

School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China.

In this paper, we study the traveling wave solutions of the fractional generalized reaction Duffing equation, which contains several nonlinear conformable time fractional wave equations. By the dynamic system method, the phase portraits of the fractional generalized reaction Duffing equation are given, and all possible exact traveling wave solutions of the equation are obtained.

Fractional Duffing Equation, Dynamic System Method, Traveling Wave Solution

Zhang, K. , Zhang, Z. and Yuwen, T. (2022) Phase Portraits and Traveling Wave Solutions of a Fractional Generalized Reaction Duffing Equation. Advances in Pure Mathematics, 12, 465-477. doi: 10.4236/apm.2022.127035.