Bobenko Aleksander Ivanovich

Statistics Math-Net.Ru
Total publications: 17
Scientific articles: 16
Presentations: 1

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Doctor of physico-mathematical sciences


Geometry, Visualization, Mathematical Physics: Discrete Differential Geometry, Differential Geometry, Integrable Systems, Riemann Surfaces
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Publications in Math-Net.Ru
1. Landau–Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions
R. F. Bikbaev, A. I. Bobenko, A. R. Its
TMF, 178:2 (2014),  163–219
2. Discrete Nonlinear Hyperbolic Equations. Classification of Integrable Cases
V. E. Adler, A. I. Bobenko, Yu. B. Suris
Funktsional. Anal. i Prilozhen., 43:1 (2009),  3–21
3. On organizing principles of discrete differential geometry. Geometry of spheres
A. I. Bobenko, Yu. B. Suris
Uspekhi Mat. Nauk, 62:1(373) (2007),  3–50
4. Nonlinear hyperbolic equations in surface theory: integrable discretizations and approximation results
A. I. Bobenko, D. Matthes, Yu. B. Suris
Algebra i Analiz, 17:1 (2005),  53–83
5. Constant mean curvature surfaces and integrable equations
A. I. Bobenko
Uspekhi Mat. Nauk, 46:4(280) (1991),  3–42
6. Integrable surfaces
A. I. Bobenko
Funktsional. Anal. i Prilozhen., 24:3 (1990),  68–69
7. Eigenfunctions of the Dirichlet and Neumann problems for the elliptic sinh-Gordon equation on a rectangle
A. I. Bobenko
Zap. Nauchn. Sem. LOMI, 179 (1989),  32–36
8. Qualitative analysis and calculations of finite-gap solutions of the Korteweg–de Vries equation. Automorphic approach
A. I. Bobenko, D. A. Kubenskii
TMF, 72:3 (1987),  352–360
9. Qualitative analysis of finite-zonal solutions of the $K_g\Phi$ equation with the help of an automorphic approach
A. I. Bobenko, L. A. Bordag
Zap. Nauchn. Sem. LOMI, 165 (1987),  31–41
10. Euler equations in the algebras $e(3)$ and $so(4)$. Isomorphisms of integrable cases
A. I. Bobenko
Funktsional. Anal. i Prilozhen., 20:1 (1986),  64–66
11. Algebraic-geometric principles of superposition of finite-zone solutions of integrable non-linear equations
E. D. Belokolos, A. I. Bobenko, V. B. Matveev, V. Z. Ènol'skii
Uspekhi Mat. Nauk, 41:2(248) (1986),  3–42
12. Real algebrogeometric solutions of the Landau–Lifshits equation in prym theta functions
A. I. Bobenko
Funktsional. Anal. i Prilozhen., 19:1 (1985),  6–19
13. Solutions of nonlinear equations integrable in Jacobi theta functions by the method of the inverse problem, and symmetries of algebraic curves
M. V. Babich, A. I. Bobenko, V. B. Matveev
Izv. Akad. Nauk SSSR Ser. Mat., 49:3 (1985),  511–529
14. Periodic finite-zone solutions of the sine-Gordon equation
A. I. Bobenko
Funktsional. Anal. i Prilozhen., 18:3 (1984),  73–74
15. Finite-gap solutions in terms of automorphic functions. The Kadomcev–Petviashvily equation
A. I. Bobenko
Zap. Nauchn. Sem. LOMI, 129 (1983),  5–16
16. Landau–Lofshitz equation. Dressing up of the solutions and the elementary excitations
A. I. Bobenko
Zap. Nauchn. Sem. LOMI, 123 (1983),  58–66

17. Ramil' Faritovich Bikbaev (obituary)
A. I. Bobenko, A. M. Il'in, S. Yu. Dobrokhotov, A. R. Its, L. A. Kalyakin, V. B. Matveev, V. Yu. Novokshenov, A. B. Shabat
Uspekhi Mat. Nauk, 51:1(307) (1996),  133–136

Presentations in Math-Net.Ru
1. Discrete conformal mappings and Riemann surfaces
A. I. Bobenko
Dobrushin Mathematics Laboratory Seminar
January 27, 2015 16:00

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