Localized induction equation and pseudospherical surfaces

Batchelor G K; Burstall F; Bäcklund A; Chern S S; Dobriner H; Enneper A; Fukumoto; Hasimoto H; Hasimoto H; Itzykson C; Kida S; Lamb G L; Lamb G L Jr; Langer J; Langer J; Langer J; Langer J; Langer J; Marsden J; McLachlan R; Melko M; Moore D; Novikov S; Perring J K; R Perline; Ricca R; Seeger A; Spivak M; Struik D; Sym A; Uhlenbeck K

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Localized induction equation and pseudospherical surfaces

Authors: Batchelor G K
Burstall F
Bäcklund A
Chern S S
Dobriner H
Enneper A
Fukumoto
Hasimoto H
Hasimoto H
Itzykson C
Kida S
Lamb G L
Lamb G L Jr
Langer J
Langer J
Langer J
Langer J
Langer J
Marsden J
McLachlan R
Melko M
Moore D
Novikov S
Perring J K
R Perline
Ricca R
Seeger A
Spivak M
Struik D
Sym A
Uhlenbeck K
Publication date: 11 June 1994
Publisher: 'IOP Publishing'
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Abstract

We describe a close connection between the localized induction equation hierarchy of integrable evolution equations on space curves, and surfaces of constant negative Gauss curvature.Comment: 21 pages, AMSTeX file. To appear in Journal of Physics A: Mathematical and Genera

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