The uniqueness and existence of solution of the characteristic problem on the generalized KdV equation

1994 ◽  
Vol 15 (5) ◽  
pp. 491-498 ◽  
Author(s):  
Li Wen-shen
Keyword(s):  
Kdv Equation ◽  
Existence Of Solution ◽  
Characteristic Problem ◽  
Generalized Kdv Equation ◽  
Uniqueness And Existence

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.

Interaction of solitary waves for the generalized KdV equation

2012 ◽  
Vol 17 (8) ◽  
pp. 3204-3218 ◽  
Author(s):  
Martin G. Garcia Alvarado ◽  
Georgii A. Omel’yanov
Keyword(s):  
Solitary Waves ◽  
Kdv Equation ◽  
Generalized Kdv Equation
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