scholarly journals Representation of solutions of boundary value problems for nonlinear evolution equations by special series with recurrently calculated coefficients

2019 ◽  
Vol 1268 ◽  
pp. 012071
Author(s):  
M Yu Filimonov
Keyword(s):  
Boundary Value Problems ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Boundary Value ◽  
Nonlinear Evolution Equations ◽  
Special Series ◽  
Representation Of Solutions

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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