Отправить статью по E-mail Integrable deformations of the Bogoyavlenskij–Itoh Lotka–Volterra systems
- Авторы: Evripidou C.1, Kassotakis P.1, Vanhaecke P.2
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Учреждения:
- Department of Mathematics and Statistics
- Laboratoire de Mathématiques et Applications
- Выпуск: Том 22, № 6 (2017)
- Страницы: 721-739
- Раздел: Article
- URL: https://journals.rcsi.science/1560-3547/article/view/218788
- DOI: https://doi.org/10.1134/S1560354717060090
- ID: 218788
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Аннотация
We construct a family of integrable deformations of the Bogoyavlenskij–Itoh systems and construct a Lax operator with spectral parameter for it. Our approach is based on the construction of a family of compatible Poisson structures for the undeformed systems, whose Casimirs are shown to yield a generating function for the integrals in involution of the deformed systems.We show how these deformations are related to the Veselov–Shabat systems.
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Об авторах
C.A. Evripidou
Department of Mathematics and Statistics
Автор, ответственный за переписку.
Email: C.Evripidou@latrobe.edu.au
Австралия, Melbourne, Victoria, 3086
P. Kassotakis
Department of Mathematics and Statistics
Email: C.Evripidou@latrobe.edu.au
Кипр, Nicosia, 1678
P. Vanhaecke
Laboratoire de Mathématiques et Applications
Email: C.Evripidou@latrobe.edu.au
Франция, 86962 Futuroscope, Chasseneuil Cedex
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