Painlevé–Kruskal theorem

E387067

The Painlevé–Kruskal theorem is a result in the theory of nonlinear differential equations that characterizes integrability through the analytic structure of their solutions, particularly via the Painlevé property.

All labels observed (3)

Label Occurrences
Painlevé property 2
Painlevé 1
Painlevé–Kruskal theorem canonical 1

How this entity was disambiguated

Statements (29)

Predicate Object
instanceOf mathematical theorem
result in differential equations
appliesTo nonlinear ordinary differential equations
nonlinear partial differential equations
associatedWith Painlevé transcendents
surface form: Painlevé equations

inverse scattering transform
mathematical analysis of singularities
nonlinear wave equations
characterizes integrability of nonlinear differential equations
concerns analytic structure of solutions of differential equations
singularity structure of solutions
criterionFor integrability
field differential equations
integrable systems
mathematical physics
mathematics
nonlinear differential equations
namedAfter Martin David Kruskal
Paul Painlevé
relatesTo Painlevé test
surface form: Painlevé analysis

Painlevé test
analytic continuation of solutions
integrable nonlinear evolution equations
movable singularities
singularity analysis
usedIn classification of integrable equations
study of completely integrable PDEs
theory of solitons
usesConcept Painlevé–Kruskal theorem self-linksurface differs
surface form: Painlevé property

How these facts were elicited

Referenced by (4)

Full triples — surface form annotated when it differs from this entity's canonical label.

Martin David Kruskal notableWork Painlevé–Kruskal theorem
Paul Painlevé familyName Painlevé–Kruskal theorem
this entity surface form: Painlevé
Paul Painlevé notableConcept Painlevé–Kruskal theorem
this entity surface form: Painlevé property
Painlevé–Kruskal theorem usesConcept Painlevé–Kruskal theorem self-linksurface differs
this entity surface form: Painlevé property