New contiguity relation of the sixth Painlevé equation from a truncation (Q5952613)
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scientific article; zbMATH DE number 1691904
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New contiguity relation of the sixth Painlevé equation from a truncation |
scientific article; zbMATH DE number 1691904 |
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New contiguity relation of the sixth Painlevé equation from a truncation (English)
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15 January 2002
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The goals of the article are the following ones: \(1^0\) to present a new direct method based on the singularity structure of the P6 equation, in order to derive a first-degree bifurcational transformation for P6; \(2^0\) to establish for P6 a contiguity relation, interpreted as a discrete Painlevé equation.
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sixth Painlevé equation
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bifurcational transformation
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contiguity relation
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singular manifold method
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truncation
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