TITLE:
An Extended Riccati Equation Method to Find New Solitary Wave Solutions of the Burgers-Fisher Equation
AUTHORS:
Yixinni Liu, Hongyan Pan
KEYWORDS:
Solitary Wave, Soliton, Burger-Fisher Equation, Riccati Equation, Nonlinear Evolution Equation
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.13 No.8,
August
31,
2023
ABSTRACT: In this paper, our objective is to explore novel solitary wave solutions
of the Burgers-Fisher equation, which characterizes the interplay between
diffusion and reaction phenomena. Understanding this equation is crucial for
addressing challenges in fluid, chemical kinetics and population dynamics. We
tackle this task by employing the Riccati equation and employing various
function transformations to solve the Burgers-Fisher equation. By adopting
different coefficients in the Riccati equation, we obtain a wide range of exact
solutions, many of which have not been previously documented. These abundant
solitary wave solutions serve as valuable tools for comprehending the
Burgers-Fisher equation and contribute to expanding our knowledge in this
field.