TITLE:
Applying the General Riccati Equation to Construct New Solitary Wave Solutions with Complex Structure of Burgers-Fisher Equation
AUTHORS:
Bicheng Wu, Hongyan Pan
KEYWORDS:
Riccati Equation, Hyperbolic Function Solutions, Nonlinear Evolution Equation, Solitary Wave Solution, Auxiliary Equation
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.14 No.12,
December
31,
2024
ABSTRACT: In the realm of nonlinear physics, it is crucial to establish precise traveling wave solutions and solitary wave solutions for a variety of nonlinear models, as this aids our exploration of these fields. In this paper, we propose a new method to construct precise solitary wave solutions if nonlinear equation with complex structure. As an application, we employ this method to solve the Burgers-Fisher equation, yielding a multitude of new solitary wave solutions. This approach demonstrates a broader applicability in addressing nonlinear evolution equations (NLEEs).