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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 84, Number 1, Pages 38–45
(Mi tmf5859)
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This article is cited in 10 scientific papers (total in 10 papers)
Elliptic solutions of nonlinear equations
I. A. Taimanov
Abstract:
A method is described for constructing algebraic curves whose theta functions reduce to one-dimensional functions. This makes it possible to construct finite-gap solutions of nonlinear equations expressed in terms of the elliptic functions. Elliptic two-gap potentials of the Schrödinger operator different from the Lamé and Verdier potentials are constructed.
Received: 18.07.1989
Citation:
I. A. Taimanov, “Elliptic solutions of nonlinear equations”, TMF, 84:1 (1990), 38–45; Theoret. and Math. Phys., 84:1 (1990), 700–706
Linking options:
https://www.mathnet.ru/eng/tmf5859 https://www.mathnet.ru/eng/tmf/v84/i1/p38
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Abstract page: | 608 | Full-text PDF : | 186 | References: | 85 | First page: | 3 |
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