scholarly journals Symmetry classification of KdV-type nonlinear evolution equations

2004 ◽  
Vol 45 (6) ◽  
pp. 2280-2313 ◽  
Author(s):  
F. Güngör ◽  
V. I. Lahno ◽  
R. Z. Zhdanov
Keyword(s):  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Symmetry Classification

scholarly journals Symmetry Classification of Third-Order Nonlinear Evolution Equations. Part I: Semi-simple Algebras

2012 ◽  
Vol 124 (1) ◽  
pp. 123-170 ◽  
Author(s):  
P. Basarab-Horwath ◽  
F. Güngör ◽  
V. Lahno
Keyword(s):  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Third Order ◽  
Symmetry Classification ◽  
Simple Algebras

Lie group classification of the N-th-order nonlinear evolution equations

2011 ◽  
Vol 54 (12) ◽  
pp. 2553-2572 ◽  
Author(s):  
ShouFeng Shen ◽  
ChangZheng Qu ◽  
Qing Huang ◽  
YongYang Jin
Keyword(s):  
Lie Group ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Group Classification ◽  
Nonlinear Evolution Equations ◽  
Lie Group Classification

Formint — A program for the classification of integrable nonlinear evolution equations

1985 ◽  
Vol 34 (3) ◽  
pp. 303-311 ◽  
Author(s):  
V.P. Gerdt ◽  
A.B. Shvachka ◽  
A.Yu. Zharkov
Keyword(s):  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations

On classification of soliton solutions of multicomponent nonlinear evolution equations

2008 ◽  
Vol 41 (31) ◽  
pp. 315213 ◽  
Author(s):  
V S Gerdjikov ◽  
D J Kaup ◽  
N A Kostov ◽  
T I Valchev
Keyword(s):  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Soliton Solutions ◽  
Nonlinear Evolution Equations

scholarly journals Classification of local and nonlocal symmetries of fourth-order nonlinear evolution equations

2010 ◽  
Vol 65 (3) ◽  
pp. 337-366 ◽  
Author(s):  
Qing Huang ◽  
C.Z. Qu ◽  
R. Zhdanov
Keyword(s):  
Fourth Order ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Nonlocal Symmetries

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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