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Polynomial dynamical systems associated with the KdV hierarchyстатья
- Авторы: Buchstaber V.M., Bunkova E.Yu
- Журнал: Partial Differential Equations in Applied Mathematics
- Том: 12
- Год издания: 2024
- Издательство: Elsevier B.V.
- Местоположение издательства: Netherlands
- Номер статьи: 100928
- DOI: 10.1016/j.padiff.2024.100928
- Аннотация: In 1974, S.P. Novikov introduced the stationary n-equations of the Korteweg–de Vries hierarchy, namely the n-Novikov equations. These are associated with integrable polynomial dynamical systems, with polynomial 2n integrals, in C^{3n}. In this paper, we construct an infinite-dimensional polynomial dynamical system that is universal for all dynamical systems corresponding to the n-Novikov equations. Thus, we solve the well-known problem of the relationship between the n-Novikov equations for different n.
- Добавил в систему: Бухштабер Виктор Матвеевич