Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Painlevé_equation
partial differential equations |
| gptkbp:discoveredIn |
early 20th century
|
| gptkbp:hasGeneralForm |
y'' = (1/2y)(y')^2 + (3/2)y^3 + 4xy^2 + 2(x^2 - a)y + b/y
|
| gptkbp:hasPainleveProperty |
solutions have no movable singularities other than poles
|
| https://www.w3.org/2000/01/rdf-schema#label |
Painlevé IV equation
|
| gptkbp:namedAfter |
gptkb:Paul_Painlevé
|
| gptkbp:numberInSeries |
4
|
| gptkbp:order |
second
|
| gptkbp:parameter |
a
b |
| gptkbp:relatedTo |
special functions
isomonodromic deformation |
| gptkbp:studiedIn |
integrable systems
mathematical physics |
| gptkbp:type |
nonlinear ordinary differential equation
|
| gptkbp:bfsParent |
gptkb:Painlevé_equations
|
| gptkbp:bfsLayer |
6
|