Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Painlevé_equation
partial differential equations |
| gptkbp:discoveredIn |
early 20th century
|
| gptkbp:followedBy |
gptkb:Painlevé_IV_equation
|
| gptkbp:hasGeneralForm |
y'' = (1/2y + 1/(y-1)) (y')^2 - y'/x + (a y^2 + b)/x^2 + c y/x + d y(y+1)/(y-1)
|
| gptkbp:hasPainleveProperty |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
Painlevé V equation
|
| gptkbp:namedAfter |
gptkb:Paul_Painlevé
|
| gptkbp:numberInSeries |
5
|
| gptkbp:order |
second
|
| gptkbp:parameter |
a
b c d |
| gptkbp:precededBy |
gptkb:Painlevé_VI_equation
|
| gptkbp:relatedTo |
random matrix theory
orthogonal polynomials isomonodromic deformation |
| gptkbp:studiedIn |
integrable systems
mathematical physics special functions |
| gptkbp:type |
nonlinear ordinary differential equation
|
| gptkbp:bfsParent |
gptkb:Painlevé_equations
|
| gptkbp:bfsLayer |
6
|