Embedded exponential operator splitting methods for the time integration of nonlinear evolution equations

2013 ◽  
Vol 63 ◽  
pp. 14-24 ◽  
Author(s):  
O. Koch ◽  
Ch. Neuhauser ◽  
M. Thalhammer
Keyword(s):  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Operator Splitting ◽  
Time Integration ◽  
Splitting Methods ◽  
Nonlinear Evolution Equations ◽  
Operator Splitting Methods ◽  
Exponential Operator

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.

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