Дискретные интегрируемые системы,
преобразования Дарбу и Бэклунд,
теория отображений Янга–Бакстера.
Основные темы научной работы
Математическая физика, интегрируемые системы.
Основные публикации:
S. Konstantinou-Rizos, A.V. Mikhailov, “Darboux transformations, fi nite reduction groups
and related Yang–Baxter maps”, J. Phys. A: Math. Theor., 46 (2013), 425201
S. Konstantinou-Rizos, P. Xenitidis and A.V. Mikhailov, “Reduction groups and related integrable
di fference systems of NLS type”, J. Math. Phys., 56 (2015), 082701
G. Grahovski, S. Konstantinou-Rizos and A. V. Mikhailov, “Grassmann extensions of Yang-Baxter maps”, J. Phys. A: Math. Theor., 49 (2016), 145202
S. Konstantinou-Rizos and A. V. Mikhailov, “Anticommutative extension of the
Adler map”, J. Phys. A: Math. Theor., 49 (2016), 30LT03
V. M. Buchstaber, S. Igonin, S. Konstantinou-Rizos, M. M. Preobrazhenskaia, “Yang–Baxter maps, Darboux transformations, and linear approximations of refactorisation problems”, J. Phys. A, 53:50 (2020), 504002 , 22 pp. https://doi.org/10.1088/1751-8121/abc72b
S. Igonin, S. Konstantinou-Rizos, “Local Yang-Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation”, Journal of Physics A: Math. Theor., 56 (2023), 275202 , arXiv: https://arxiv.org/abs/2302.03059
S. Igonin, S. Konstantinou-Rizos, “Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation”, Journal of Physics A: Math. Theor., 55 (2022), 405205
S. Igonin, V. Kolesov, S. Konstantinou-Rizos, M. Preobrazhenskaia, “Tetrahedron maps, Yang–Baxter maps and partial linearisations”, Journal of Physics A: Math. Theor., 54 (2021), 505203
M. Chirkov, S. Konstantinou-Rizos, “On the solutions of the local Zamolodchikov tetrahedron equation”, Journal of Physics A: Mathematical and Theoretical, 57:24 (2024), 245203
A. A. Nikitina, S. Konstantinou-Rizos, “Yang–Baxter maps of KdV, NLS and DNLS type on division rings”, Physica D: Nonlinear Phenomena, 465 (2024), 134213
S. Konstantinou-Rizos, “Parametric 4-Simplex Maps of Degenerated NLS Type”, Lobachevskii Journal of Mathematics, 44:3 (2023), 911–919
17.
D. Bilman, S. Konstantinou-Rizos, “Discrete Integrable Systems, Darboux Transformations, and Yang–Baxter Maps”, Chapter 5 in Symmetries and Integrability of Difference Equations, Symmetries and Integrability of Difference Equations, eds. D. Levi et al., Springer International Publishing 2017, 2017 http://www.springer.com/gp/book/9783319566658
18.
S. Konstantinou-Rizos, A. V. Mikhailov, “Anticommutative extension of the Adler map”, Journal of Physics A: Mathematical and Theoretical, 49 (2016), 30LT03 , IOP Select
19.
G. G. Grahovksi, S. Konstantinou-Rizos, A. V. Mikhailov, “Grassmann extensions of Yang–Baxter maps”, Journal of Physics A: Mathematical and Theoretical, 49 (2016), 145202
20.
S. Konstantinou-Rizos, A. V. Mikhailov, P. Xenitidis, “Reduction groups and related integrable difference systems of nonlinear Schrödinger type”, Journal of Mathematical Physics, 56 (2015), 082701
21.
S. Konstantinou-Rizos, A. V. Mikhailov, “Darboux transformations, finite reduction groups and related Yang–Baxter maps”, Journal of Physics A: Mathematical and Theoretical, 46 (2013), 425201
22.
V. M. Buchstaber, A. V. Fursikov, P. G. Grinevich, D. Gurevich, S. Konstantinou-Rizos, A. Konyaev, A. V. Mikhailov, D. Millionshchikov, V. Yu. Novokshenov, V. Rubtsov, P. M. Santini, P. Saponov, A. Shafarevich, G. Sharygin, V. Sokolov, A. V. Tsiganov, Recent Developments in Integrable Systems and Related Topics of Mathematical Physics, eds. V. M. Buchstaber, S. Konstantinou-Rizos, A. V. Mikhailov, Springer, 2018 , 216 pp. https://www.springer.com/gp/book/9783030048068
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