TITLE:
Phase Portraits and Traveling Wave Solutions of a Fractional Generalized Reaction Duffing Equation
AUTHORS:
Kelei Zhang, Zhenfeng Zhang, Tao Yuwen
KEYWORDS:
Fractional Duffing Equation, Dynamic System Method, Traveling Wave Solution
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.12 No.7,
July
28,
2022
ABSTRACT: 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.