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- Title
Convergence of Formal Solutions to the Second Member of the Fourth Painlevé Hierarchy in a Neighborhood of Zero.
- Authors
Anoshin, V. I.; Beketova, A. D.; Parusnikova, A. V.; Prokopenko, E. D.
- Abstract
The second member of the fourth Painlevé hierarchy is considered. Convergence of certain power asymptotic expansions in a neighborhood of zero is proved. New families of power asymptotic expansions are found. Computations are carried out using a computer algebra system. Reference to a code that can be used for computing the Gevrey order of the formal expansion of the solution to the second-order differential equation in a symbolic computation packet is given.
- Subjects
SYMBOLIC computation; NEIGHBORHOODS; DIFFERENTIAL equations; PAINLEVE equations; COMPUTER systems
- Publication
Computational Mathematics & Mathematical Physics, 2023, Vol 63, Issue 1, p86
- ISSN
0965-5425
- Publication type
Article
- DOI
10.1134/S0965542523010049