Zobrazeno 1 - 10
of 12
pro vyhledávání: '"E. Yu. Bunkova"'
Autor:
V.M. Buchstaber, E. Yu. Bunkova
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100928- (2024)
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 ℂ3n. In this paper
Externí odkaz:
https://doaj.org/article/dbe64cab07a848a2b8e6bbbb70dc11de
Autor:
E. Yu. Bunkova, V. M. Bukhshtaber
Publikováno v:
Functional Analysis and Its Applications. 56:169-187
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9c747a1b76a6039faea189a0d407a65
https://doi.org/10.1134/s0016266322030029
https://doi.org/10.1134/s0016266322030029
Autor:
V. M. Buchstaber, E. Yu. Bunkova
Publikováno v:
Functional Analysis and Its Applications. 55:179-197
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6f45a00e3997cf3c490311a78396d9f0
https://doi.org/10.1134/s0016266321030011
https://doi.org/10.1134/s0016266321030011
Publikováno v:
Functional Analysis and Its Applications. 54:229-240
In a 2004 paper by V. M. Buchstaber and D. V. Leikin, published in “Functional Analysis and Its Applications,” for each $$g > 0$$ , a system of $$2g$$ multidimensional Schrodinger equations in magnetic fields with quadratic potentials was defined
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da6a7136920137c85c8467c035b83239
https://doi.org/10.1134/s0016266320040012
https://doi.org/10.1134/s0016266320040012
Publikováno v:
Mathematical Notes. 108:15-28
We construct the Lie algebras of systems of $$2g$$ graded heat operators $$Q_0,Q_2,\dots,Q_{4g-2}$$ that determine the sigma functions $$\sigma(z,\lambda)$$ of hyperelliptic curves of genera $$g=1$$ , $$2$$ , and $$3$$ . As a corollary, we find that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c1287b59541fd4108fd39cce5280ed0
https://doi.org/10.1134/s0001434620070020
https://doi.org/10.1134/s0001434620070020
Autor:
E. Yu. Bunkova
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 305:33-52
An elliptic function of level N determines an elliptic genus of level N as a Hirzebruch genus. It is known that any elliptic function of level N is a specialization of the Krichever function that determines the Krichever genus. The Krichever function
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f6c25344aea5a8b37d08f1cf21059f8
https://doi.org/10.1134/s0081543819030039
https://doi.org/10.1134/s0081543819030039
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 292:37-62
The paper is devoted to problems at the intersection of formal group theory, the theory of Hirzebruch genera, and the theory of elliptic functions. In the focus of our interest are Tate formal groups corresponding to the general five-parametric model
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::782c65328e2fb6bdbf11fd9b63bfc119
https://doi.org/10.1134/s0081543816010041
https://doi.org/10.1134/s0081543816010041
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 290:125-137
For the nth Hirzebruch equation we introduce the notion of universal manifold Mn of formal solutions. It is shown that the manifold Mn, where n > 1, is algebraic and its dimension is not greater than n + 1. We give a family of polynomials generating
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd20e5f733e3dedb1543590a31a6704a
https://doi.org/10.1134/s0081543815060115
https://doi.org/10.1134/s0081543815060115
Publikováno v:
Functional Analysis and Its Applications. 46:173-190
We consider homogeneous polynomial dynamical systems in n-space. To any such system our construction matches a nonlinear ordinary differential equation and an algorithm for constructing a solution of the heat equation. The classical solution given by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::525aae72ac106698d89ccf6fd5bed52e
https://doi.org/10.1007/s10688-012-0024-2
https://doi.org/10.1007/s10688-012-0024-2
Publikováno v:
Functional Analysis and Its Applications. 45:99-116
On the basis of the general Weierstrass model of the cubic curve with parameters µ = (µ1, µ2, µ3, µ4, µ6), the explicit form of the formal group that corresponds to the Tate uniformization of this curve is described. This formal group is called
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6bff27c61b067ccf35070c5c92766593
https://doi.org/10.1007/s10688-011-0012-y
https://doi.org/10.1007/s10688-011-0012-y