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This article is cited in 22 scientific papers (total in 22 papers)
Hyperelliptic tangential covers and finite-gap potentials
A. Treibich Université d'Artois
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
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
Linking options:
https://www.mathnet.ru/eng/rm454https://doi.org/10.1070/RM2001v056n06ABEH000454 https://www.mathnet.ru/eng/rm/v56/i6/p89
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Abstract page: | 687 | Russian version PDF: | 320 | English version PDF: | 28 | References: | 86 | First page: | 1 |
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