Full list of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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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 ;
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1
[x]
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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 ;
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7
[x]
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2020 |
3. |
Giordano Cotti, Boris Dubrovin, Davide Guzzetti, “Local Moduli of Semisimple Frobenius Coalescent Structures”, SIGMA, 16 (2020), 40 , 105 pp., arXiv: 1712.08575 ;
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10
[x]
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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
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19
[x]
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2018 |
5. |
Boris Dubrovin, Andrei Kapaev, “A Riemann–Hilbert Approach to the Heun Equation”, SIGMA, 14 (2018), 93 , 24 pp.
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7
[x]
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2017 |
6. |
Boris Dubrovin, Di Yang, Don Zagier, “Classical Hurwitz numbers and related combinatorics”, Mosc. Math. J., 17:4 (2017), 601–633
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14
[x]
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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 |
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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
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23
[x]
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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.
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19
[x]
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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 |
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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 |
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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 |
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2008 |
13. |
B. A. Dubrovin, “Hamiltonian PDEs and Frobenius manifolds”, Russian Math. Surveys, 63:6 (2008), 999–1010 |
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2004 |
14. |
G. Carlet, B. A. Dubrovin, Y. Zhang, “The extended Toda hierarchy”, Mosc. Math. J., 4:2 (2004), 313–332
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106
[x]
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1990 |
15. |
B. A. Dubrovin, “Differential geometry of strongly integrable systems of hydrodynamic type”, Funct. Anal. Appl., 24:4 (1990), 280–285 |
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1989 |
16. |
B. A. Dubrovin, “Differential-geometric Poisson brackets on a lattice”, Funct. Anal. Appl., 23:2 (1989), 131–133 |
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 |
18. |
B. A. Dubrovin, S. M. Natanzon, “Real theta-function solutions of the Kadomtsev–Petviashvili equation”, Math. USSR-Izv., 32:2 (1989), 269–288 |
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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 |
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1984 |
20. |
B. A. Dubrovin, S. P. Novikov, “Poisson brackets of hydrodynamic type”, Dokl. Akad. Nauk SSSR, 279:2 (1984), 294–297 |
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 |
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1985 |
22. |
B. A. Dubrovin, “Matrix finite-gap operators”, J. Soviet Math., 28:1 (1985), 20–50 |
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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 |
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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 |
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 |
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 |
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 |
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1981 |
28. |
B. A. Dubrovin, “Theta functions and non-linear equations”, Russian Math. Surveys, 36:2 (1981), 11–92 |
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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 |
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 |
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 |
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1977 |
32. |
B. A. Dubrovin, “Completely integrable Hamiltonian systems associated with matrix operators and Abelian varieties”, Funct. Anal. Appl., 11:4 (1977), 265–277 |
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1976 |
33. |
B. A. Dubrovin, “Finite band linear differential operators and Abelian varieties”, Uspekhi Mat. Nauk, 31:4(190) (1976), 259–260 |
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 |
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 |
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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 |
37. |
B. A. Dubrovin, “Inverse problem for periodic finite-zoned potentials in the theory of scattering”, Funct. Anal. Appl., 9:1 (1975), 61–62 |
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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 |
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1973 |
39. |
B. A. Dubrovin, “Generalized Witt groups”, Math. Notes, 13:3 (1973), 253–257 |
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