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Babich, Mikhail Vasil'evich

Statistics Math-Net.Ru
Total publications: 19
Scientific articles: 19
Presentations: 6

Number of views:
This page:3763
Abstract pages:5519
Full texts:1964
References:598
Senior Researcher
Doctor of physico-mathematical sciences
Birth date: 29.04.1960
E-mail: ,
Keywords: differential equation.

Subject:

Mathematical physics.

   
Main publications:
  1. M. V. Babich, “About Coordinates on the Phase Spaces of the Schlesinger System and the Garnier-Painlevé 6 System”, Doklady Mathematics, 75:1 (2007), 71  crossref

https://www.mathnet.ru/eng/person25056
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/197619

Publications in Math-Net.Ru Citations
2023
1. M. V. Babich, “On Jordan structure of nilpotent matrices from Lie algebra $\mathfrak{so}(N,\mathbb{C})$”, Zap. Nauchn. Sem. POMI, 528 (2023),  79–90  mathnet
2022
2. V. M. Babich, M. V. Babich, “Space-time ray method and quasiphotons of whispering gallery”, Zap. Nauchn. Sem. POMI, 516 (2022),  5–19  mathnet
2019
3. M. V. Babich, “On extensions of canonical symplectic structure from coadjoint orbit of complex general linear group”, Zap. Nauchn. Sem. POMI, 487 (2019),  28–39  mathnet
2018
4. M. V. Babich, “On parametrization of symplectic quotient of Cartesian product of coadjoint orbits of complex general linear group with respect to its diagonal action”, Zap. Nauchn. Sem. POMI, 473 (2018),  7–16  mathnet; J. Math. Sci. (N. Y.), 242:5 (2019), 587–594  scopus
5. M. V. Babich, S. Yu. Slavyanov, “Links from second-order Fuchsian equations to first-order linear systems”, Zap. Nauchn. Sem. POMI, 468 (2018),  221–227  mathnet; J. Math. Sci. (N. Y.), 240:5 (2019), 646–650  scopus
2017
6. M. V. Babich, “Birational Darboux coordinates on nilpotent coadjoint orbits classical complex Lie groups, Jordan blocks $2\times2$”, Zap. Nauchn. Sem. POMI, 465 (2017),  5–12  mathnet; J. Math. Sci. (N. Y.), 238:6 (2019), 763–768 1
2016
7. M. V. Babich, “Birational Darboux Coordinates on (Co)Adjoint Orbits of $\operatorname{GL}(N,\mathbb C)$”, Funktsional. Anal. i Prilozhen., 50:1 (2016),  20–37  mathnet  mathscinet  elib; Funct. Anal. Appl., 50:1 (2016), 17–30  isi  scopus 8
2015
8. M. V. Babich, “Young tableaux and stratification of space of complex square matrices”, Zap. Nauchn. Sem. POMI, 433 (2015),  41–64  mathnet  mathscinet; J. Math. Sci. (N. Y.), 213:5 (2016), 651–661  scopus 5
9. M. V. Babich, “On birational Darboux coordinates on coadjoint orbits of classical complex Lie groups”, Zap. Nauchn. Sem. POMI, 432 (2015),  36–57  mathnet; J. Math. Sci. (N. Y.), 209:6 (2015), 830–844  scopus 5
2010
10. M. V. Babich, S. E. Derkachov, “On rational symplectic parametrization of the coadjoint orbit of $\mathrm{GL}(N)$. Diagonalizable case”, Algebra i Analiz, 22:3 (2010),  16–31  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:3 (2011), 347–357  isi  scopus 11
2009
11. M. V. Babich, “On canonical parametrization of the phase spaces of equations of isomonodromic deformations of Fuchsian systems of dimension $2\times 2$. Derivation of the Painlevé VI equation”, Uspekhi Mat. Nauk, 64:1(385) (2009),  51–134  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 64:1 (2009), 45–127  isi  elib  scopus 11
2000
12. M. V. Babich, “Symmetries of the 4-matrices Schlesinger system”, Zap. Nauchn. Sem. POMI, 269 (2000),  92–108  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:1 (2003), 1935–1944
1996
13. M. V. Babich, L. A. Bordag, “Qualitative investigation of the three phase solutions of sine-Laplace equation”, Zap. Nauchn. Sem. POMI, 235 (1996),  199–216  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 94:4 (1999), 1568–1580
1991
14. M. V. Babich, “Smoothness of real finite-gap solutions of equations connected with the sine-Gordon equation”, Algebra i Analiz, 3:1 (1991),  57–66  mathnet  mathscinet  zmath; St. Petersburg Math. J., 3:1 (1992), 45–52 3
15. M. V. Babich, “Real finite-gap solutions of the equation $\Delta u=\ch u$”, Mat. Zametki, 50:1 (1991),  3–9  mathnet  mathscinet  zmath; Math. Notes, 50:1 (1991), 663–667  isi 2
1990
16. M. V. Babich, “Real finite-gap solutions of equations connected with the sine-Gordon equation”, Algebra i Analiz, 2:3 (1990),  63–77  mathnet  mathscinet  zmath; Leningrad Math. J., 2:3 (1991), 507–521 4
1985
17. M. V. Babich, “Implementation of the formulas for the finite-zone integration of the sine-Gordon equation for a certain curve of genus $3$”, Funktsional. Anal. i Prilozhen., 19:3 (1985),  53–55  mathnet  mathscinet  zmath; Funct. Anal. Appl., 19:3 (1985), 206–208  isi 2
18. M. V. Babich, A. I. Bobenko, V. B. Matveev, “Solutions of nonlinear equations integrable in Jacobi theta functions by the method of the inverse problem, and symmetries of algebraic curves”, Izv. Akad. Nauk SSSR Ser. Mat., 49:3 (1985),  511–529  mathnet  mathscinet  zmath; Math. USSR-Izv., 26:3 (1986), 479–496 18
1983
19. M. V. Babich, A. I. Bobenko, V. B. Matveev, “Reductions of Riemann theta functions of genus $g$ to theta functions of lesser genus, and symmetries of algebraic curves”, Dokl. Akad. Nauk SSSR, 272:1 (1983),  13–17  mathnet  mathscinet  zmath 10

Presentations in Math-Net.Ru
1. О бирациональной параметризации (ко)присоединенных орбит комплексных классических групп
Mikhail Babich
Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin
October 26, 2015 12:50   
2. Canonical parameterization of coadjoint orbits of $GL(N,C)$ with complicated Jordan structure and isomonodromic deformation equations
M. V. Babich
International Workshop «Geometric Structures in Integrable Systems»
November 1, 2012 11:10   
3. On birational nature of isomonodromic deformation equations
M. V. Babich
International conference "Geometrical Methods in Mathematical Physics"
December 14, 2011 14:45   
4. Canonical parametrization of symplectic submanifolds of the space of Fuchsian differential equations
M. V. Babich
First Christmas scientific session MIAN-POMI "Dynamical Systems"
December 14, 2007
5. Новая нормировка $\Psi$-функции и геометрия перехода между системой Шлезингера и системой Пенлеве 6
M. V. Babich
Seminar "Optimal Control and Dynamical Systems"
April 12, 2006
6. О системе уравнений Шлезингера и связанных с ней алгебраических многообразиях
M. V. Babich
Seminar by Algebra Department
October 25, 2005

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