Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:partial_differential_equations
gptkb:Painlevé_equation |
| gptkbp:application |
gptkb:statistical_mechanics
integrable systems soliton theory random matrix theory |
| gptkbp:discoveredIn |
early 20th century
|
| gptkbp:feature |
no movable critical points except poles
|
| gptkbp:form |
y'' = 2y^3 + xy + α
|
| gptkbp:hasType |
gptkb:Painlevé_transcendent
|
| gptkbp:namedAfter |
gptkb:Paul_Painlevé
|
| gptkbp:order |
second
|
| gptkbp:parameter |
α
|
| gptkbp:relatedTo |
gptkb:Painlevé_III_equation
gptkb:Painlevé_I_equation |
| gptkbp:solvedBy |
gptkb:software
|
| gptkbp:type |
nonlinear ordinary differential equation
|
| gptkbp:bfsParent |
gptkb:Painlevé_equations
|
| gptkbp:bfsLayer |
6
|
| http://www.w3.org/2000/01/rdf-schema#label |
Painlevé II equation
|