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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



Bibliographic databases:
ArXiv: nlin.SI/0510055


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