Exact Solutions for Generalized Klein-Gordon Equation

Authors

  • Libo Yang Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223001, Jiangsu, China
  • Daoming Wang School of Accounting, Hangzhou Dianzi University, Hangzhou 310018, Zhejiang, China
  • Fengxian An Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223001, Jiangsu, China

DOI:

https://doi.org/10.26713/jims.v4i3.100

Keywords:

Generalized Klein-Gordon equation, Modified$(\frac{G}{G'})$-expansion method, Hyperbolic function solutions, Trigonometric function solutions, Rational function solutions

Abstract

The Modified$(\frac{G}{G'})$-expansion method is used to solve the Generalized Klein-Gordon equation, by means of the method, three types of exact traveling wave solutions are obtained, including the hyperbolic functions, trigonometric and rational function solutions. In this method, $G$ is general solution of a second order linear ODE, so the method is direct, simple; more importantly, this method can be used in many other nonlinear evolution equations to obtain traveling wave solutions. This will have a good sense to promote the broad application of Klein-Gordon equation.

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Issue

Vol. 4 No. 3 (2012)

Section

Research Article

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How to Cite

Exact Solutions for Generalized Klein-Gordon Equation. (2012). Journal of Informatics and Mathematical Sciences, 4(3), 351-358. https://doi.org/10.26713/jims.v4i3.100