Application of uniform asymptotics to the fifth Painlevé transcendent (Q1607916)
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scientific article; zbMATH DE number 1780400
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Application of uniform asymptotics to the fifth Painlevé transcendent |
scientific article; zbMATH DE number 1780400 |
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Application of uniform asymptotics to the fifth Painlevé transcendent (English)
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13 August 2002
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The authors study the general fifth Painlevé equation and apply the uniform asymptotic method to the fifth Painlevé transcendents. Further, they find its asymptotics of the form \(y=-1+t^{-1/2} A(t)\) as \(t\to \infty\) along the positive \(t\)-axis and obtain the corresponding monodromy data.
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uniform asymptotics
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Painlevé transcendent
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