An integrable chain and bi-orthogonal polynomials (Q1282064)
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scientific article; zbMATH DE number 1269754
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An integrable chain and bi-orthogonal polynomials |
scientific article; zbMATH DE number 1269754 |
Statements
An integrable chain and bi-orthogonal polynomials (English)
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1 April 2001
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The authors investigate self-similar solutions to the equations of motion of the integrable chain connected to the isospectral evolution of the polynomials of type \(R-I\) introduced by Ismail and Masson before. The polynomials of these equations are expressed in terms of the Gauss hypergeometric function and are shown to be stable against Darboux transformations of the generalized chain.
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bi-orthogonal
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polynomials
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self-similar solutions
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integrable chain
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Gauss hypergeometric function
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Darboux transformations
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