scholarly journals Well-posedness and regularity of the generalized Burgers equation in periodic Gevrey spaces

2017 ◽  
Vol 454 (1) ◽  
pp. 18-40 ◽  
Author(s):  
John Holmes
Keyword(s):  
Burgers Equation ◽  
Well Posedness ◽  
Generalized Burgers Equation ◽  
Gevrey Spaces

Well-posedness of the generalized Burgers equation on a finite interval

2018 ◽  
Vol 98 (16) ◽  
pp. 2802-2826
Author(s):  
Jing Li ◽  
Bing-Yu Zhang ◽  
Zhixiong Zhang
Keyword(s):  
Burgers Equation ◽  
Finite Interval ◽  
Well Posedness ◽  
Generalized Burgers Equation

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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