Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Painlevé_equation
partial differential equations |
| gptkbp:appearsIn |
mathematical physics
|
| gptkbp:class |
gptkb:Painlevé_equations
|
| gptkbp:hasGeneralForm |
d^2y/dx^2 = (1/y)(dy/dx)^2 - (1/x)dy/dx + (a y^2 + b)/x + c y^3 + d/y
|
| gptkbp:hasPainleveProperty |
true
|
| gptkbp:hasSpecialSolutions |
gptkb:Bessel_functions
rational solutions transcendental solutions |
| https://www.w3.org/2000/01/rdf-schema#label |
Painlevé III equation
|
| gptkbp:namedAfter |
gptkb:Paul_Painlevé
|
| gptkbp:numberInSeries |
3
|
| gptkbp:order |
second
|
| gptkbp:parameter |
4
|
| gptkbp:relatedTo |
gptkb:Hamiltonian_systems
tau function isomonodromic deformation |
| gptkbp:studiedIn |
integrable systems
|
| gptkbp:type |
nonlinear ordinary differential equation
|
| gptkbp:bfsParent |
gptkb:Painlevé_equations
|
| gptkbp:bfsLayer |
6
|