Verdier elliptic solitons and the Weierstrass theory of reduction (Q909901)
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scientific article; zbMATH DE number 4138410
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Verdier elliptic solitons and the Weierstrass theory of reduction |
scientific article; zbMATH DE number 4138410 |
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Verdier elliptic solitons and the Weierstrass theory of reduction (English)
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1989
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J. L. Verdier has observed that besides Lamé potentials there are other finite zone potentials of Schrödinger equation which can be given by elliptic functions. The authors show that - similarly to Lamé potentials - Verdier potentials can be obtained within the Weierstrass reduction theory of Riemann's theta function and Abel integrals.
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elliptic solitons
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Verdier potentials
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Weierstrass reduction theory
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Riemann's theta function
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