TITLE:
Using a New Auxiliary Equation to Construct Abundant Solutions for Nonlinear Evolution Equations
AUTHORS:
Yifan Liu, Guojiang Wu
KEYWORDS:
Auxiliary Equation Method, Nonlinear Evolution Equations, Periodic Wave Solutions, Mapping Method, Solitary Wave Solutions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.12,
December
28,
2021
ABSTRACT: In this paper, a new auxiliary equation method is proposed. Combined with the mapping method, abundant periodic wave solutions for generalized Klein-Gordon equation and Benjamin equation are obtained. They are new types of periodic wave solutions which are rarely found in previous studies. As m → 0 and m → 1, some new types of trigonometric solutions and solitary solutions are also obtained correspondingly. This method is promising for constructing abundant periodic wave solutions and solitary solutions of nonlinear evolution equations (NLEEs) in mathematical physics.