TITLE:
New Solitary Wave Solutions of the Fisher Equation
AUTHORS:
Zidong Yang, Hongyan Pan
KEYWORDS:
Nonlinear Evolution Equations, Solitary Wave, Soliton, Fisher Equation, Riccati Equation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.11,
November
29,
2022
ABSTRACT: In this paper, we use Riccati equation to find new solitary wave solutions of Fisher equation, which describes the process of interaction between diffusion and reaction. It is of great importance to comprehend the equation to solve the problems in chemical kinetics and population dynamics. We resolve the Ricatti equation through diverse function transformation and many types of exact solutions are obtained. Then it is used as an auxiliary equation to solve Fisher equation. In the process, we select different coefficients in the Racatti equation, as a result, abundant solitary wave solutions are obtained, some of which haven’t been found in other documents yet. Moreover, these solutions we got in this paper will be favorable for understanding the Fisher equation.