Solutions of the generalized KdV equation with time-dependent damping and dispersion

2010 ◽  
Vol 216 (4) ◽  
pp. 1029-1035 ◽  
Author(s):  
Yang Yang ◽  
Zhao-ling Tao ◽  
Francis R. Austin
Keyword(s):  
Kdv Equation ◽  
Time Dependent ◽  
Generalized Kdv Equation

SOLVING THE GENERALIZED BURGERS–KdV EQUATION BY A COMBINATION METHOD

2008 ◽  
Vol 22 (21) ◽  
pp. 2021-2025 ◽  
Author(s):  
YUANXI XIE
Keyword(s):  
Exact Solutions ◽  
Burgers Equation ◽  
Kdv Equation ◽  
Combination Method ◽  
Generalized Kdv Equation ◽  
Generalized Burgers Equation

In view of the analysis on the characteristics of the generalized Burgers equation, generalized KdV equation and generalized Burgers–KdV equation, a combination method is presented to seek the explicit and exact solutions to the generalized Burgers–KdV equation by combining with those of the generalized Burgers equation and generalized KdV equation. As a result, many explicit and exact solutions for the generalized Burgers–KdV equation are successfully obtained by this technique.

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