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JOURNALS
// Symmetry, Integrability and Geometry: Methods and Applications
// Archive
SIGMA,
2005
Volume 1,
005, 7 pp.
(Mi sigma5)
This article is cited in
24
papers
Andrew Lenard: A Mystery Unraveled
Jeffery Praught
,
Roman G. Smirnov
Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, Canada, B3H 3J5
Abstract:
The theory of bi-Hamiltonian systems has its roots in what is commonly referred to as the “Lenard recursion formula”. The story about the discovery of the formula told by Andrew Lenard is the subject of this article.
Keywords:
Lenard's recursion formula; bi-Hamiltonian formalism; Korteweg–de Vries equation.
MSC:
01A60
;
35Q53
;
35Q51
;
70H06
Received:
September 29, 2005
; in final form
October 3, 2005
; Published online
October 8, 2005
Language:
English
DOI:
10.3842/SIGMA.2005.005
Fulltext:
PDF file (194 kB)
References
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ArXiv:
nlin.SI/0510055
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