Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:application |
gptkb:quantum_gravity
gptkb:statistical_mechanics random matrix theory special functions |
| gptkbp:class |
nonlinear ordinary differential equations
|
| gptkbp:contains |
gptkb:Painlevé_III_equation
gptkb:Painlevé_II_equation gptkb:Painlevé_IV_equation gptkb:Painlevé_I_equation gptkb:Painlevé_VI_equation gptkb:Painlevé_V_equation |
| gptkbp:discoveredIn |
early 20th century
|
| gptkbp:field |
gptkb:mathematics
mathematical physics partial differential equations |
| https://www.w3.org/2000/01/rdf-schema#label |
Painlevé equations
|
| gptkbp:namedAfter |
gptkb:Paul_Painlevé
|
| gptkbp:notableFor |
absence of movable critical points other than poles
|
| gptkbp:numberOfEquations |
6
|
| gptkbp:relatedTo |
integrable systems
singularity theory special functions monodromy isomonodromic deformation |
| gptkbp:bfsParent |
gptkb:Paul_Painlevé
|
| gptkbp:bfsLayer |
5
|