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https://doi.org/10.1063/1.1664873

has been cited by the following article:

• 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.