Rational solutions of the \(A_4\) Painlevé equation (Q815155)
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scientific article; zbMATH DE number 5008569
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rational solutions of the \(A_4\) Painlevé equation |
scientific article; zbMATH DE number 5008569 |
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Rational solutions of the \(A_4\) Painlevé equation (English)
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21 February 2006
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In this note, all of the rational solutions of the Painlevé equation, which is a generalization of the fourth Painlevé equation, are completely classified. The rational solutions are classified to three types by the Bäcklund transformation group. It is also shown that the rational solutions of the fourth Painlevé equation can be classified only by the method of residue calculus.
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Painlevé equation
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affine Weyl groups
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Bäcklund transformations
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rational solutions
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