Sinh-Gordon equation, Painlevé property and Bäcklund transformation (Q1107744)
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scientific article; zbMATH DE number 4065551
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sinh-Gordon equation, Painlevé property and Bäcklund transformation |
scientific article; zbMATH DE number 4065551 |
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Sinh-Gordon equation, Painlevé property and Bäcklund transformation (English)
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1985
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The Painlevé property for partial differential equation proposed by Weiss et al. is studied for the sinh-Gordon equation. We performed a singular point analysis to show that the Painlevé property is a valuable analytical test for integrability and we found in a remarkably straightforward manner the Bäcklund transformation of the sinh-Gordon equation.
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Painlevé property
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sinh-Gordon equation
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singular point
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integrability
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Bäcklund transformation
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