Triple
T15961333
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Korteweg–De Vries equation |
E387064
|
entity |
| Predicate | isRelatedTo |
P37
|
FINISHED |
| Object |
Kadomtsev–Petviashvili equation
The Kadomtsev–Petviashvili equation is a fundamental nonlinear partial differential equation in mathematical physics that generalizes the Korteweg–De Vries equation to two spatial dimensions to describe the evolution of weakly dispersive, weakly nonlinear waves.
|
E1187023
|
NE FINISHED |
How this triple was built (4 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Kadomtsev–Petviashvili equation | Statement: [Korteweg–De Vries equation, isRelatedTo, Kadomtsev–Petviashvili equation]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Kadomtsev–Petviashvili equation Context triple: [Korteweg–De Vries equation, isRelatedTo, Kadomtsev–Petviashvili equation]
-
A.
Korteweg–De Vries equation
The Korteweg–De Vries equation is a fundamental nonlinear partial differential equation that models shallow water waves and solitons, playing a central role in the theory of integrable systems.
-
B.
Painlevé–Kruskal theorem
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.
-
C.
Gross–Pitaevskii equation
The Gross–Pitaevskii equation is a nonlinear Schrödinger-type equation that describes the macroscopic wavefunction and dynamics of weakly interacting Bose gases at ultra-cold temperatures.
-
D.
Zur Theorie der nichtlinearen Wellen
"Zur Theorie der nichtlinearen Wellen" is Klaus Hasselmann's doctoral thesis, a foundational work on the behavior and mathematical description of nonlinear waves in physics.
-
E.
Kardar–Parisi–Zhang equation
The Kardar–Parisi–Zhang equation is a fundamental stochastic partial differential equation that models the dynamic scaling and roughening of growing interfaces in nonequilibrium statistical physics.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Kadomtsev–Petviashvili equation Triple: [Korteweg–De Vries equation, isRelatedTo, Kadomtsev–Petviashvili equation]
Generated description
The Kadomtsev–Petviashvili equation is a fundamental nonlinear partial differential equation in mathematical physics that generalizes the Korteweg–De Vries equation to two spatial dimensions to describe the evolution of weakly dispersive, weakly nonlinear waves.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Kadomtsev–Petviashvili equation Target entity description: The Kadomtsev–Petviashvili equation is a fundamental nonlinear partial differential equation in mathematical physics that generalizes the Korteweg–De Vries equation to two spatial dimensions to describe the evolution of weakly dispersive, weakly nonlinear waves.
-
A.
Korteweg–De Vries equation
The Korteweg–De Vries equation is a fundamental nonlinear partial differential equation that models shallow water waves and solitons, playing a central role in the theory of integrable systems.
-
B.
Painlevé–Kruskal theorem
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.
-
C.
Gross–Pitaevskii equation
The Gross–Pitaevskii equation is a nonlinear Schrödinger-type equation that describes the macroscopic wavefunction and dynamics of weakly interacting Bose gases at ultra-cold temperatures.
-
D.
Zur Theorie der nichtlinearen Wellen
"Zur Theorie der nichtlinearen Wellen" is Klaus Hasselmann's doctoral thesis, a foundational work on the behavior and mathematical description of nonlinear waves in physics.
-
E.
Kardar–Parisi–Zhang equation
The Kardar–Parisi–Zhang equation is a fundamental stochastic partial differential equation that models the dynamic scaling and roughening of growing interfaces in nonequilibrium statistical physics.
- F. None of above. chosen
Provenance (5 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69d86da882448190a82ea962fe343b79 |
completed | April 10, 2026, 3:25 a.m. |
| NER | Named-entity recognition | batch_69e156ff4cdc81908db31394eaa191bc |
completed | April 16, 2026, 9:39 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ffbe827d248190adbfd41f55638ebd |
completed | May 9, 2026, 11:08 p.m. |
| NEDg | Description generation | batch_69ffbffcbd748190a666eca28cf44ad5 |
completed | May 9, 2026, 11:15 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69ffc09df25481908674f306b0f96f95 |
completed | May 9, 2026, 11:17 p.m. |
Created at: April 10, 2026, 4:53 a.m.