scholarly journals Painlevé analysis and exact solutions of two dimensional Korteweg-de Vries-Burgers equation

Pramana ◽  
1996 ◽  
Vol 46 (1) ◽  
pp. 1-8 ◽  
Author(s):  
M P Joy
Keyword(s):  
Exact Solutions ◽  
Burgers Equation ◽  
Painlevé Analysis ◽  
Two Dimensional ◽  
De Vries ◽  
Painleve Analysis

Notizen: Inviscid Burgers Equation, Painleve Analysis and a Bäcklund Transformation

1990 ◽  
Vol 45 (7) ◽  
pp. 929-930
Author(s):  
W.-H. Steeb ◽  
N. Euler
Keyword(s):  
Burgers Equation ◽  
Bäcklund Transformation ◽  
Dimensional Case ◽  
Painlevé Analysis ◽  
Two Dimensional ◽  
Backlund Transformation ◽  
Inviscid Burgers Equation ◽  
Symmetry Generators ◽  
Painleve Analysis

AbstractThe inviscid Burgers equation is studied with the Painleve analysis. A Bäcklund transformation is constructed. Then we give the symmetry generators. A two-dimensional case is also investigated.

scholarly journals Bäcklund Transformation and New Exact Solutions of the Sharma-Tasso-Olver Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
Lin Jianming ◽  
Ding Jie ◽  
Yuan Wenjun
Keyword(s):  
Exact Solutions ◽  
Bäcklund Transformation ◽  
Analytic Study ◽  
Bäcklund Transformations ◽  
Painlevé Analysis ◽  
Backlund Transformation ◽  
New Exact Solutions ◽  
Backlund Transformations ◽  
Painleve Analysis

The Sharma-Tasso-Olver (STO) equation is investigated. The Painlevé analysis is efficiently used for analytic study of this equation. The Bäcklund transformations and some new exact solutions are formally derived.

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