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Bernoulli, Euler, Riccati and Solitons

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.3241445· OSTI ID:21325558
 [1]
  1. Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszynski University in Warsaw, Dewajtis 5, 01-815 Warsaw (Poland)
In this paper we present a theorem showing the reason of the connection between Bernoulli numbers and solitons, the solutions of the Korteweg-de Vries equation. The theorem involves Eulerian numbers and Riccati's differential equation.
OSTI ID:
21325558
Journal Information:
AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1168; ISSN APCPCS; ISSN 0094-243X
Country of Publication:
United States
Language:
English

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