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On the Properties of Solutions of the Equations in the Generalized Hierarchy of the Equation \(P_{34}\)

  • ORDINARY DIFFERENTIAL EQUATIONS
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Abstract

For the nonlinear equations in the generalized hierarchy of the equation \(P_{34} \) in the Painlevé classification list, we study local analytic properties of solutions, Bäcklund transformations, rational solutions, and their representation via special functions and polynomials.

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Notes

  1. Here and in the following, \( \beta =(\beta _{1},\ldots ,\beta _{N-1})\) .

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  1. Belarusian State University, Minsk, 220030, Belarus

    V. I. Gromak

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  1. V. I. Gromak
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Correspondence to V. I. Gromak.

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Translated by V. Potapchouck

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Gromak, V.I. On the Properties of Solutions of the Equations in the Generalized Hierarchy of the Equation \(P_{34}\). Diff Equat 58, 154–164 (2022). https://doi.org/10.1134/S0012266122020021

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  • DOI: https://doi.org/10.1134/S0012266122020021

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