A special addition theorem for theta-functions and nonlinear equations (Q1288140)
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scientific article; zbMATH DE number 1286057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A special addition theorem for theta-functions and nonlinear equations |
scientific article; zbMATH DE number 1286057 |
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A special addition theorem for theta-functions and nonlinear equations (English)
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11 May 1999
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In the article under review, the authors derive some consequences from the Mumford theorem characterizing the Jacobi varieties of hyperelliptic algebraic curves in terms of theta-constants. These formulas, treated as special addition theorems for the corresponding theta-functions, are applied to effectivization of theta-functional formulas for finite gap solutions to the Korteweg-de Vries and sine-Gordon equations.
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theta-function
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soliton
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Jacobi varieties
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hyperelliptic algebraic curves
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theta-constant
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0.9037471
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0.88500506
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0.88472813
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0.8688858
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0.8682405
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