Title :
Solving Generalized Klein-Gordon Equation by Using Modified (G´/G) Expansion Method
Author :
Lu Dian-chen ; Wang Dao-ming ; Li Wu
Author_Institution :
Fac. of Sci., Jiangsu Univ., Zhenjiang, China
Abstract :
The Modified (G´/G) method is used to solve the Generalized Klein-Gordon equation, by means of this method, three types of exact traveling wave solutions are obtained, including the hyperbolic functions, trigonometric and rational function solutions. Some of them are found for the first time. If take special parameters values in the hyperbolic functions which we obtained, we can get existed solitary wave solutions.
Keywords :
nonlinear differential equations; solitons; wave equations; wave propagation; generalized Klein-Gordon equation; hyperbolic function; modified expansion method; rational function solution; solitary wave solution; traveling wave solutions; trigonometric function; Biology; Mathematical model; Nonlinear optics; Physics; Plasmas; Riccati equations; Generalized Klein-Gordon equation; Modified (G´/G) method; hyperbolic functions; rational function solutions; trigonometric solutions;
Conference_Titel :
Information and Computing (ICIC), 2011 Fourth International Conference on
Conference_Location :
Phuket Island
Print_ISBN :
978-1-61284-688-0
DOI :
10.1109/ICIC.2011.13