The Extended Jacobian Elliptic Function Expansion Method and Its Applications in Weakly Nonlinear Wave Equations

2006 ◽  
Vol 18 (3) ◽  
pp. 352-361
Author(s):  
Wen-hua Huang ◽  
Yu-lu Liu ◽  
Zhi-ming Lu ◽  
Bo-ying Pan ◽  
Mao-sheng Liu
Keyword(s):  
Nonlinear Wave ◽  
Elliptic Function ◽  
Wave Equations ◽  
Expansion Method ◽  
Nonlinear Wave Equations ◽  
Jacobian Elliptic Function ◽  
Weakly Nonlinear ◽  
Function Expansion

Traveling wave solutions for the Couple Boiti-Leon-Pempinelli System by using extended Jacobian elliptic function expansion method

2015 ◽  
Vol 11 (3) ◽  
pp. 3134-3138 ◽  
Author(s):  
Mostafa Khater ◽  
Mahmoud A.E. Abdelrahman
Keyword(s):  
Elliptic Function ◽  
Traveling Wave ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Traveling Wave Solutions ◽  
Expansion Method ◽  
Mathematical Physics ◽  
Nonlinear Evolution Equations ◽  
Jacobian Elliptic Function ◽  
Function Expansion

In this work, an extended Jacobian elliptic function expansion method is pro-posed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to the Couple Boiti-Leon-Pempinelli System which plays an important role in mathematical physics.

Sign in / Sign up

Export Citation Format

Share Document