Painlevé analysis of the Ricci-flat ordinary differential equations associated with Aloff–Wallach spaces and U(1)-bundles over Fano products

2003 ◽  
Vol 44 (8) ◽  
pp. 3383-3406 ◽  
Author(s):  
Andrew Dancer ◽  
McKenzie Y. Wang
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Painlevé Analysis ◽  
Ricci Flat ◽  
Painleve Analysis

scholarly journals Painleve Test and Discrete Boltzmann Equations

1989 ◽  
Vol 42 (1) ◽  
pp. 1 ◽  
Author(s):  
N Euler ◽  
W-H Steeb
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Vector Fields ◽  
Lie Symmetry ◽  
Bäcklund Transformations ◽  
Painlevé Analysis ◽  
Painlevé Test ◽  
Boltzmann Equations ◽  
Backlund Transformations ◽  
Painleve Analysis

The Painleve test for various discrete Boltzmann equations is performed. The connection with integrability is discussed. Furthermore the Lie symmetry vector fields are derived and group-theoretical reduction of the discrete Boltzmann equations to ordinary differentiable equations is performed. Lie Backlund transformations are gained by performing the Painleve analysis for the ordinary differential equations

Ricci-flat warped products and Painlevé analysis

2001 ◽  
Vol 42 (8) ◽  
pp. 3609-3614 ◽  
Author(s):  
Andrew Dancer ◽  
McKenzie Y. Wang
Keyword(s):  
Painlevé Analysis ◽  
Warped Products ◽  
Ricci Flat ◽  
Painleve Analysis
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