Title :
The extended Jacobian elliptic function expansion method and its application in Zakharov equation
Author :
Xiao, Yafeng ; Xue, Haili
Author_Institution :
Dept. of Math., North Univ. of China, Taiyuan, China
Abstract :
A extended elliptic function expansion method is presented, which is a direct and unified algebraic method for constructing multiple and more general travelling wave solution for nonlinear partial differential equation and implemented in a computer algebraic system. The proposed method is applied to consider Zakharov equation and obtains rich new families of the exact solutions.
Keywords :
Jacobian matrices; elliptic equations; nonlinear differential equations; physics computing; symbol manipulation; wave equations; Zakharov equation; algebraic method; computer algebraic system; extended Jacobian elliptic function expansion; nonlinear partial differential equation; travelling wave solution; Equations; Gallium nitride; Jacobian matrices; NLEEs; Zakharov equation; extended Jacobian elliptic function expansion method; travelling wave solution;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
Electronic_ISBN :
978-1-4244-7237-6
DOI :
10.1109/ICCASM.2010.5622367
