‘Generalized Burgers' equation’ for nonlinear viscoelastic waves

Wave Motion ◽  
1985 ◽  
Vol 7 (5) ◽  
pp. 447-458 ◽  
Author(s):  
N. Sugimoto ◽  
T. Kakutani
Keyword(s):  
Burgers Equation ◽  
Generalized Burgers Equation ◽  
Nonlinear Viscoelastic ◽  
Viscoelastic Waves

1-Soliton solution of the generalized Burgers equation with generalized evolution

2011 ◽  
Vol 217 (24) ◽  
pp. 10289-10294 ◽  
Author(s):  
Anjan Biswas ◽  
Houria Triki ◽  
T. Hayat ◽  
Omar M. Aldossary
Keyword(s):  
Soliton Solution ◽  
Burgers Equation ◽  
Generalized Burgers 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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