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Dubrovin, Boris Anatol'evich
(1950–2019)

Total publications: 39 (35)
in MathSciNet: 34 (32)
in zbMATH: 31 (29)
in Web of Science: 16 (14)
in Scopus: 9 (9)
Cited articles: 33
Citations: 2390
Presentations: 23

Number of views:
This page:13528
Abstract pages:30202
Full texts:12253
References:1713
Dubrovin, Boris Anatol'evich
Professor
Doctor of physico-mathematical sciences (1984)
Birth date: 6.04.1950
Website: http://people.sissa.it/~dubrovin/; http://letopis.msu.ru/peoples/6317

Subject:

Theory of integrable systems in Geometry and Mathematical Physics, including Frobenius manifolds, relationships with quantum cohomology, singularity theory, reflection groups and their generalizations. Integrable hierarchies of topological type. Hamiltonian perturbations of hyperbolic systems. Geometry of isomonodromy deformations. Theta-functions of Riemann surfaces and nonlinear waves.

Photo album: Dubrovin Boris Anatol'evich (1950–2019)


https://www.mathnet.ru/eng/person21899
https://ru.wikipedia.org/wiki/Dubrovin,_Boris_Anatolevich
https://scholar.google.com/citations?user=aWCzql8AAAAJ&hl=en
https://zbmath.org/authors/?q=ai:dubrovin.boris-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/191586
https://elibrary.ru/author_items.asp?authorid=627632
https://www.scopus.com/authid/detail.url?authorId=6602775156
https://www.researchgate.net/profile/B_Dubrovin

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2022
1. Boris Dubrovin, Daniele Valeri, Di Yang, “Affine Kac–Moody Algebras and Tau-Functions for the Drinfeld–Sokolov Hierarchies: the Matrix-Resolvent Method”, SIGMA, 18 (2022), 77 , 32 pp., arXiv: 2110.06655  mathnet  crossref  mathscinet; 1

   2021
2. Marco Bertola, Boris Dubrovin, Di Yang, “Simple Lie algebras, Drinfeld–Sokolov hierarchies, and multi-point correlation functions”, Mosc. Math. J., 21:2 (2021), 233–270  mathnet  crossref  scopus; 7

   2020
3. Giordano Cotti, Boris Dubrovin, Davide Guzzetti, “Local Moduli of Semisimple Frobenius Coalescent Structures”, SIGMA, 16 (2020), 40 , 105 pp., arXiv: 1712.08575  mathnet  crossref  isi  scopus; 10

   2019
4. Boris Dubrovin, Ian A. B. Strachan, Youjin Zhang, Dafeng Zuo, “Extended affine Weyl groups of BCD-type: Their Frobenius manifolds and Landau–Ginzburg superpotentials”, Adv. Math., 351 (2019), 897–946  mathnet  crossref  mathscinet  zmath  isi  scopus 19

   2018
5. Boris Dubrovin, Andrei Kapaev, “A Riemann–Hilbert Approach to the Heun Equation”, SIGMA, 14 (2018), 93 , 24 pp.  mathnet  crossref  isi  scopus 7

   2017
6. Boris Dubrovin, Di Yang, Don Zagier, “Classical Hurwitz numbers and related combinatorics”, Mosc. Math. J., 17:4 (2017), 601–633  mathnet  crossref  isi 14

   2016
7. V. E. Adler, Yu. Yu. Berest, V. M. Buchstaber, P. G. Grinevich, B. A. Dubrovin, I. M. Krichever, S. P. Novikov, A. N. Sergeev, M. V. Feigin, J. Felder, E. V. Ferapontov, O. A. Chalykh, P. I. Etingof, “Alexander Petrovich Veselov (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1159–1176  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2015
8. B. Dubrovin, T. Grava, C. Klein, A. Moro, “On critical behaviour in systems of Hamiltonian partial differential equations”, J. Nonlinear Sci., 25:3 (2015), 631–707  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 23

   2014
9. A. Belavin, B. Mukhametzhanov, B. Dubrovin, “Minimal Liouville gravity correlation numbers from Douglas string equation”, J. High Energy Phys., 18:1 (2014), 156 , 50 pp.  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 19

   2013
10. A. M. Vershik, A. P. Veselov, A. A. Gaifullin, B. A. Dubrovin, A. B. Zhizhchenko, I. M. Krichever, A. A. Mal'tsev, D. V. Millionshchikov, S. P. Novikov, T. E. Panov, A. G. Sergeev, I. A. Taimanov, “Viktor Matveevich Buchstaber (on his 70th birthday)”, Russian Math. Surveys, 68:3 (2013), 581–590  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2012
11. B. A. Dubrovin, T. V. Skrypnik, “Classical double, $R$-operators, and negative flows of integrable hierarchies”, Theoret. and Math. Phys., 172:1 (2012), 911–931  mathnet  crossref  crossref  mathscinet  mathscinet  adsnasa  isi  elib  elib  scopus

   2011
12. B. A. Dubrovin, S. A. Zykov, M. V. Pavlov, “Linearly degenerate Hamiltonian PDEs and a new class of solutions to the WDVV associativity equations”, Funct. Anal. Appl., 45:4 (2011), 278–290  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2008
13. B. A. Dubrovin, “Hamiltonian PDEs and Frobenius manifolds”, Russian Math. Surveys, 63:6 (2008), 999–1010  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2004
14. G. Carlet, B. A. Dubrovin, Y. Zhang, “The extended Toda hierarchy”, Mosc. Math. J., 4:2 (2004), 313–332  mathnet  crossref  mathscinet  zmath  isi 106

   1990
15. B. A. Dubrovin, “Differential geometry of strongly integrable systems of hydrodynamic type”, Funct. Anal. Appl., 24:4 (1990), 280–285  mathnet  crossref  mathscinet  zmath  isi

   1989
16. B. A. Dubrovin, “Differential-geometric Poisson brackets on a lattice”, Funct. Anal. Appl., 23:2 (1989), 131–133  mathnet  crossref  mathscinet  zmath  isi
17. B. A. Dubrovin, S. P. Novikov, “Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory”, Russian Math. Surveys, 44:6 (1989), 35–124  mathnet  crossref  mathscinet  zmath  adsnasa
18. B. A. Dubrovin, S. M. Natanzon, “Real theta-function solutions of the Kadomtsev–Petviashvili equation”, Math. USSR-Izv., 32:2 (1989), 269–288  mathnet  crossref  mathscinet  zmath

   1985
19. B. A. Dubrovin, I. M. Krichever, S. P. Novikov, “Integrable systems. I”, Dynamical systems – 4, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 4, VINITI, Moscow, 1985, 179–277  mathnet  mathscinet  zmath

   1984
20. B. A. Dubrovin, S. P. Novikov, “Poisson brackets of hydrodynamic type”, Dokl. Akad. Nauk SSSR, 279:2 (1984), 294–297  mathnet  mathscinet  zmath  adsnasa
21. S. A. Nazarov, A. L. Krylov, A. E. Lifshits, V. A. Vassiliev, A. V. Mikhailov, B. A. Dubrovin, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 39:2(236) (1984), 217–221  mathnet

   1985
22. B. A. Dubrovin, “Matrix finite-gap operators”, J. Soviet Math., 28:1 (1985), 20–50  mathnet  crossref  mathscinet  zmath

   1983
23. B. A. Dubrovin, S. P. Novikov, “Hamiltonian formalism of one-dimensional systems of hydrodynamic type, and the Bogolyubov–Whitman averaging method”, Dokl. Akad. Nauk SSSR, 270:4 (1983), 781–785  mathnet  mathscinet  zmath  adsnasa

   1982
24. B. A. Dubrovin, S. M. Natanzon, “Real two-zone solutions of the sine-Gordon equation”, Funct. Anal. Appl., 16:1 (1982), 21–33  mathnet  crossref  mathscinet  zmath  isi
25. B. A. Dubrovin, “Analytical properties of spectral data for nonselfadjoint linear operators connected with real periodic solutions of the sine-Gordon equation”, Dokl. Akad. Nauk SSSR, 265:4 (1982), 789–793  mathnet  mathscinet  zmath
26. B. A. Dubrovin, S. P. Novikov, “Algebro-geometric Poisson brackets for real finite-zone solutions of the sine-Gordon equation and the nonlinear Schrödinger equation”, Dokl. Akad. Nauk SSSR, 267:6 (1982), 1295–1300  mathnet  mathscinet  zmath
27. B. A. Dubrovin, “The Kadomtsev–Petviashvili equation and the relations between the periods of holomorphic differentials on Riemann surfaces”, Math. USSR-Izv., 19:2 (1982), 285–296  mathnet  crossref  mathscinet  zmath

   1981
28. B. A. Dubrovin, “Theta functions and non-linear equations”, Russian Math. Surveys, 36:2 (1981), 11–92  mathnet  crossref  mathscinet  zmath  adsnasa  isi

   1980
29. B. A. Dubrovin, “On S. P. Novikov's conjecture in the theory of $\theta$-functions and nonlinear equations of Korteweg–de Vries and Kadomtsev–Petviashvili type”, Dokl. Akad. Nauk SSSR, 251:3 (1980), 541–544  mathnet  mathscinet  zmath
30. B. A. Dubrovin, S. P. Novikov, “Ground states in a periodic field. Magnetic Bloch functions and vector bundles”, Dokl. Akad. Nauk SSSR, 253:6 (1980), 1293–1297  mathnet  mathscinet  zmath
31. V. P. Myasnikov, M. V. Fedoryuk, C. Boldrighini, R. L. Dobrushin, Yu. M. Sukhov, A. S. Schwarz, S. L. Ziglin, B. A. Dubrovin, S. P. Novikov, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 35:5(215) (1980), 251–256  mathnet

   1977
32. B. A. Dubrovin, “Completely integrable Hamiltonian systems associated with matrix operators and Abelian varieties”, Funct. Anal. Appl., 11:4 (1977), 265–277  mathnet  crossref  mathscinet  zmath

   1976
33. B. A. Dubrovin, “Finite band linear differential operators and Abelian varieties”, Uspekhi Mat. Nauk, 31:4(190) (1976), 259–260  mathnet  mathscinet  zmath
34. B. A. Dubrovin, V. B. Matveev, S. P. Novikov, “Non-linear equations of Korteweg–de Vries type, finite-zone linear operators, and Abelian varieties”, Russian Math. Surveys, 31:1 (1976), 59–146  mathnet  crossref  mathscinet  zmath  adsnasa
35. B. A. Dubrovin, I. M. Krichever, S. P. Novikov, “The Schrödinger equation in a periodic field and Riemann surfaces”, Dokl. Akad. Nauk SSSR, 229:1 (1976), 15–18  mathnet  mathscinet  zmath

   1975
36. B. A. Dubrovin, “Periodic problems for the Korteweg–de Vries equation in the class of finite band potentials”, Funct. Anal. Appl., 9:3 (1975), 215–223  mathnet  crossref  mathscinet  zmath
37. B. A. Dubrovin, “Inverse problem for periodic finite-zoned potentials in the theory of scattering”, Funct. Anal. Appl., 9:1 (1975), 61–62  mathnet  crossref  mathscinet  zmath

   1974
38. B. A. Dubrovin, S. P. Novikov, “A periodicity problem for the Korteweg–de Vries and Sturm–Liouville equations. Their connection with algebraic geometry”, Dokl. Akad. Nauk SSSR, 219:3 (1974), 531–534  mathnet  mathscinet  zmath

   1973
39. B. A. Dubrovin, “Generalized Witt groups”, Math. Notes, 13:3 (1973), 253–257  mathnet  crossref  mathscinet  zmath

Presentations in Math-Net.Ru
1. Generating series for GUE correlators
B. A. Dubrovin
5th Workshop on Combinatorics of Moduli Spaces, Hurwitz Spaces and Cohomological Field Theories
June 10, 2016 10:00   
2. Phase transitions in solutions of nonlinear PDEs and in random matrices
B. A. Dubrovin
Globus Seminar
August 14, 2014 15:40   
3. Phase transitions in nonlinear evolution PDEs
B. A. Dubrovin
The International Conference "Geometric Control Theory and Analysis on Metric Structures"
August 5, 2014 10:00
4. Случайные матрицы и интегрируемые системы, лекция 2
B. A. Dubrovin

June 25, 2014 10:40   
5. Случайные матрицы и интегрируемые системы, лекция 1
B. A. Dubrovin

June 25, 2014 09:30   
6. Пертурбативный анализ интегрируемых гамильтоновых уравнений в частных производных
B. A. Dubrovin
I. M. Gelfand and Modern Mathematics
December 19, 2013 11:45   
7. Инварианты Громова–Виттена и интегрируемые системы топологического типа
B. A. Dubrovin
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
July 31, 2013 14:00
8. From Gromov–Witten invariants to integrable systems
B. A. Dubrovin
International conference "Geometry, Topology, Integrable Systems" in honour of S. P. Novikovs 75th birthday
June 17, 2013 12:45   
9. Frobenius Manifolds and Integrable Systems
B. A. Dubrovin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
June 12, 2013 15:00
10. Frobenius manifolds
B. A. Dubrovin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
May 15, 2013 14:30
11. Asymptotic and numerical methods in study of the generalized Burgers equation
M. S. Elaeva, B. A. Dubrovin
International Workshop «Geometric Structures in Integrable Systems»
November 1, 2012 11:50   
12. Deformation of Poisson structures and supermanifolds
B. A. Dubrovin
Summer School on Geometry and Mathematical Physics 2012
June 25, 2012 11:20   
13. Integrable hierarchies of topological type from dressing transformations
B. A. Dubrovin
International Topological Conference "Alexandroff Readings"
May 24, 2012 10:30   
14. On geometrical structures and properties of solutions to Hamiltonian systems of partial differential equations
Boris Dubrovin
Steklov Mathematical Institute Seminar
November 10, 2011 16:00   
15. Introduction to the theory of Frobenius manifolds. Lecture 2
B. A. Dubrovin
Summer School on Geometry and Mathematical Physics 2011
June 29, 2011 10:00   
16. Introduction to the theory of Frobenius manifolds. Lecture 2
B. A. Dubrovin
Summer School on Geometry and Mathematical Physics 2011
June 28, 2011 11:40   
17. Introduction to the theory of Frobenius manifolds. Lecture 1
B. A. Dubrovin
Summer School on Geometry and Mathematical Physics 2011
June 27, 2011 10:00   
18. An introduction to the theory of Hamiltonian partial differential equations. III
B. A. Dubrovin
School on Geometrical Methods of Mathematical Physics for graduate and Ph D students
December 10, 2010 12:00   
19. An introduction to the theory of Hamiltonian partial differential equations. II
B. A. Dubrovin
School on Geometrical Methods of Mathematical Physics for graduate and Ph D students
December 9, 2010 12:00   
20. An introduction to the theory of Hamiltonian partial differential equations. I
B. A. Dubrovin
School on Geometrical Methods of Mathematical Physics for graduate and Ph D students
December 8, 2010 12:00   
21. Гамильтоновы уравнения в частных производных: геометрические структуры и свойства решений
B. A. Dubrovin
Meetings of the Moscow Mathematical Society
November 16, 2010 18:30
22. Critical behaviour in nonlinear Hamiltonian PDEs and Painlevé transcendents
B. A. Dubrovin
International Conference of Steklov Institute Members, working outside Russia
June 5, 2009 11:05   
23. Hamiltonian PDEs and Frobenius varieties
B. A. Dubrovin
Novikov Day (to the 70th birthday of academician S. P. Novikov)
June 3, 2008 10:40   

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