Interaction of solitons in a collisionless plasma and the recurrence of initial states

E207976

landmark paper in nonlinear science physics paper scientific paper

"Interaction of solitons in a collisionless plasma and the recurrence of initial states" is a landmark 1965 paper by Norman J. Zabusky and Martin Kruskal that introduced the concept of solitons and demonstrated their particle-like interactions and recurrence behavior in nonlinear wave systems.

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All labels observed (3)

Label	Occurrences
Interaction of solitons in a collisionless plasma and the recurrence of initial states canonical	2
Fermi–Pasta–Ulam recurrence	1
Zabusky–Kruskal 1965 paper	1

How this entity was disambiguated

This entity first appeared as the object of triple T1861689 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: Interaction of solitons in a collisionless plasma and the recurrence of initial states
Context triple: [Norman J. Zabusky, notableWork, Interaction of solitons in a collisionless plasma and the recurrence of initial states]

A. Commission H – Waves in Plasmas
Commission H – Waves in Plasmas is a specialized body within the International Union of Radio Science that focuses on the study and advancement of wave phenomena in plasmas and related space and laboratory environments.
B. 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.
C. On a Heuristic Point of View Concerning the Production and Transformation of Light
"On a Heuristic Point of View Concerning the Production and Transformation of Light" is Albert Einstein’s 1905 paper that introduced the concept of light quanta (photons), laying the foundation for quantum theory and explaining the photoelectric effect.
D. Kapitza–Dirac effect
The Kapitza–Dirac effect is a quantum phenomenon in which a beam of particles, such as electrons or atoms, is diffracted by a standing wave of light, demonstrating the wave-particle duality of matter.
E. Hanbury Brown and Twiss effect
The Hanbury Brown and Twiss effect is a quantum optical phenomenon in which correlations in the arrival times of identical particles, such as photons, reveal their underlying statistical and coherence properties.
F. None of above. chosen
G. Unsure - the case is ambiguous/there is not enough information to decide.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: Interaction of solitons in a collisionless plasma and the recurrence of initial states
Target entity description: "Interaction of solitons in a collisionless plasma and the recurrence of initial states" is a landmark 1965 paper by Norman J. Zabusky and Martin Kruskal that introduced the concept of solitons and demonstrated their particle-like interactions and recurrence behavior in nonlinear wave systems.

A. Commission H – Waves in Plasmas
Commission H – Waves in Plasmas is a specialized body within the International Union of Radio Science that focuses on the study and advancement of wave phenomena in plasmas and related space and laboratory environments.
B. 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.
C. On a Heuristic Point of View Concerning the Production and Transformation of Light
"On a Heuristic Point of View Concerning the Production and Transformation of Light" is Albert Einstein’s 1905 paper that introduced the concept of light quanta (photons), laying the foundation for quantum theory and explaining the photoelectric effect.
D. Kapitza–Dirac effect
The Kapitza–Dirac effect is a quantum phenomenon in which a beam of particles, such as electrons or atoms, is diffracted by a standing wave of light, demonstrating the wave-particle duality of matter.
E. Hanbury Brown and Twiss effect
The Hanbury Brown and Twiss effect is a quantum optical phenomenon in which correlations in the arrival times of identical particles, such as photons, reveal their underlying statistical and coherence properties.
F. None of above. chosen

Statements (40)

Predicate	Object
instanceOf	landmark paper in nonlinear science ⓘ physics paper ⓘ scientific paper ⓘ
associatedWith	Martin D. Kruskal ⓘ linked to: Martin David Kruskal Norman J. Zabusky ⓘ
author	Martin D. Kruskal ⓘ linked to: Martin David Kruskal Norman J. Zabusky ⓘ
citedAs	Zabusky–Kruskal 1965 paper ⓘ linked to: Interaction of solitons in a collisionless plasma and the recurrence of initial states
contributedTo	emergence of soliton concept in physics ⓘ
demonstrates	elastic collisions between solitons ⓘ particle-like behavior of solitons ⓘ recurrence phenomena in nonlinear systems ⓘ
field	mathematical physics ⓘ nonlinear dynamics ⓘ plasma physics ⓘ soliton theory ⓘ
hasImpactOn	fluid dynamics of shallow water waves ⓘ nonlinear lattice dynamics ⓘ optical fiber communications theory ⓘ
historicalSignificance	helped establish nonlinear science as a distinct area ⓘ
influenced	computational studies of nonlinear partial differential equations ⓘ development of soliton theory ⓘ theory of integrable systems ⓘ
introduces	term soliton in the context of nonlinear waves ⓘ
isConsidered	classic paper in plasma physics ⓘ foundational work in nonlinear wave theory ⓘ
language	English ⓘ
mainConcept	nonlinear wave interaction ⓘ recurrence of initial states ⓘ soliton ⓘ
publicationYear	1965 ⓘ
relatesTo	Fermi–Pasta–Ulam recurrence ⓘ linked to: Interaction of solitons in a collisionless plasma and the recurrence of initial states
shows	phase shifts resulting from soliton collisions ⓘ that solitons retain their shape after interaction ⓘ
studies	collisionless plasma ⓘ nonlinear wave equations ⓘ
title	Interaction of solitons in a collisionless plasma and the recurrence of initial states ⓘ
topic	coherent structures in plasmas ⓘ one-dimensional nonlinear wave propagation ⓘ
uses	numerical simulations of nonlinear wave equations ⓘ

How these facts were elicited

Referenced by (4)

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

Norman J. Zabusky → notableWork → Interaction of solitons in a collisionless plasma and the recurrence of initial states ⓘ

Interaction of solitons in a collisionless plasma and the recurrence of initial states → title → Interaction of solitons in a collisionless plasma and the recurrence of initial states ⓘ

Interaction of solitons in a collisionless plasma and the recurrence of initial states → relatesTo → Fermi–Pasta–Ulam recurrence ⓘ

linked to: Interaction of solitons in a collisionless plasma and the recurrence of initial states

Interaction of solitons in a collisionless plasma and the recurrence of initial states → citedAs → Zabusky–Kruskal 1965 paper ⓘ