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August 25, 2026
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Asymptotic Expansions of Solutions to the Second Term of the Fourth Painlevé Hierarchy

Programming and Computer Software. 2022. Vol. 48. No. 1. P. 30–35.
Anoshin V. I., Beketova A., Parusnikova A., Romanov K.

Asymptotic behavior and asymptotic expansions of solutions to the second term of the fourth Painlevé hierarchy are constructed using power geometry methods [1]. Only results for the case of general position—for the equation parameters β,δ≠0β,δ≠0—are provided. For constructing asymptotic expansions, a code written in a computer algebra system is used.

Research target: Mathematics
Language: English
Full text
DOI
Keywords: Асимптотическое разложениеуравнения Пенлевеasymptotic expansion Painleve equations
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