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Phase Portraits and Traveling Wave Solutions of a Fractional Generalized Reaction Duffing Equation
School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
- 1 School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
- 2 School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
- 3 School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China
Advances in Pure Mathematics·Volume 12 (2022)·Pages 465–477·Published 28 July 2022·DOI10.4236/apm.2022.127035
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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.
KeywordsFractional Duffing EquationDynamic System MethodTraveling Wave Solution
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