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Russian Mathematical Surveys, 2001, Volume 56, Issue 6, Pages 1107–1151
DOI: https://doi.org/10.1070/RM2001v056n06ABEH000454 (Mi rm454) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Hyperelliptic tangential covers and finite-gap potentials

A. Treibich

Université d'Artois
English version PDF (512 kB) Citations (22)
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DOI: https://doi.org/10.1070/RM2001v056n06ABEH000454
Abstract: This paper is devoted to the study of finite-gap potentials that can be expressed in terms of elliptic functions. New elliptic finite-gap potentials and new elliptic solitons of the KdV equation are found. A step is taken towards the study of relationships connecting elliptic KdV solitons, elliptic finite-gap potentials, and the Jacobians of the associated spectral curves.
Received: 21.05.2001
Russian version:
Uspekhi Matematicheskikh Nauk, 2001, Volume 56, Issue 6(342), Pages 89–136
DOI: https://doi.org/10.4213/rm454
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: Primary 14H52, 35Q53, 14E20; Secondary 14H40, 14H45, 35Q51, 37K10
Language: English
Original paper language: Russian
Citation: A. Treibich, “Hyperelliptic tangential covers and finite-gap potentials”, Uspekhi Mat. Nauk, 56:6(342) (2001), 89–136; Russian Math. Surveys, 56:6 (2001), 1107–1151
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
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    References:86
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