New examples of non-polynomial integrals of two-dimensional geodesic flows Full article
| Journal |
Journal of Physics A: Mathematical and Theoretical
ISSN: 1751-8113 , E-ISSN: 1751-8121 |
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| Output data | Year: 2023, Volume: 57, Number: 1, Pages: 015204 Pages count : 1 DOI: 10.1088/1751-8121/ad0fb3 | ||||||
| Tags | associated Legendre functions, generalized hodograph method, integrable geodesic flow, non-polynomial first integral, semi-Hamiltonian system | ||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Mathematical Center in Akademgorodok | 075-15-2022-282 |
Abstract:
In this paper, we continue to study integrable geodesic flows on 2-surfaces with non-polynomial first integrals which we started earlier in our previous papers. We construct explicitly new local examples of Riemannian metrics and such integrals via various approaches and methods such as the classical and the generalized hodograph methods, the method of separation of variables and some others.
Cite:
Agapov S.
, Shubin V.
New examples of non-polynomial integrals of two-dimensional geodesic flows
Journal of Physics A: Mathematical and Theoretical. 2023. V.57. N1. P.015204. DOI: 10.1088/1751-8121/ad0fb3 WOS Scopus РИНЦ OpenAlex
New examples of non-polynomial integrals of two-dimensional geodesic flows
Journal of Physics A: Mathematical and Theoretical. 2023. V.57. N1. P.015204. DOI: 10.1088/1751-8121/ad0fb3 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Aug 6, 2023 |
| Accepted: | Nov 24, 2023 |
| Published print: | Dec 7, 2023 |
| Published online: | Jan 5, 2024 |
Identifiers:
| Web of science: | WOS:001118878000001 |
| Scopus: | 2-s2.0-85180086222 |
| Elibrary: | 64135411 |
| OpenAlex: | W4388965359 |