scholarly journals Symmetry Reductions, Exact Solutions, and Painlevé Analysis for a Generalized Boussinesq Equation

1994 ◽  
Vol 186 (1) ◽  
pp. 132-155 ◽  
Author(s):  
P.A. Clarkson ◽  
D.K. Ludlow
Keyword(s):  
Exact Solutions ◽  
Boussinesq Equation ◽  
Painlevé Analysis ◽  
Symmetry Reductions ◽  
Generalized Boussinesq Equation ◽  
Painleve Analysis

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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