Title :
Two Generalizations of the (G´/G)-expansion Method and their Applications to Nonlinear Evolution Equations
Author :
Bilige, Sudao ; Chaolu, Temuer ; Xiaomin, Wang
Author_Institution :
Coll. of Sci., Inner Mongolia Univ. of Technol., Hohhote, China
Abstract :
In this paper, two generalizations of the (G´/G)- expansion method are proposed which results more different types of exact solutions to nonlinear evolution equations. As applications, the new exact non-travelling wave solutions of the (2+1)-dimension Burger equation and the (2+1)-dimensional breaking solution equations are obtained by using two generalized (G´/G)-expansion methods.
Keywords :
nonlinear differential equations; wave equations; Burger equation; dimensional breaking soliton equations; exact nontravelling wave solutions; expansion method; nonlinear evolution equations; Chaos; Differential equations; Educational institutions; Industrial engineering; Jacobian matrices; Mathematics; Nonlinear equations; Physics; Polynomials; Solitons; Exact solutions; Generalized (G´/G)- expansion method; The (2+1)-dimension Burger equation; The (2+1)-dimensional BS equations;
Conference_Titel :
Computing, Control and Industrial Engineering (CCIE), 2010 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-0-7695-4026-9
DOI :
10.1109/CCIE.2010.111