Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:application |
gptkb:quantum_gravity
gptkb:statistical_mechanics mathematical physics random matrix theory special functions |
| gptkbp:field |
gptkb:mathematics
complex analysis partial differential equations |
| gptkbp:firstDescribed |
1900
|
| https://www.w3.org/2000/01/rdf-schema#label |
Painlevé equation
|
| gptkbp:namedAfter |
gptkb:Paul_Painlevé
|
| gptkbp:notable_for |
Painlevé I
Painlevé II Painlevé III Painlevé IV Painlevé V Painlevé VI |
| gptkbp:numberOfEquations |
6
|
| gptkbp:property |
no movable critical points
|
| gptkbp:relatedTo |
integrable systems
isomonodromic deformation special function theory |
| gptkbp:type |
nonlinear ordinary differential equation
|
| gptkbp:bfsParent |
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:bfsLayer |
7
|