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2023 |
1. |
D. I. Gurevich, P. A. Saponov, V. V. Sokolov, “On symmetrizers in quantum matrix algebras”, Russian Math. Surveys, 78:4 (2023), 785–787 |
2. |
I. Bobrova, V. Sokolov, “Classification of Hamiltonian non-abelian Painlevé type systems”, Journal of Nonlinear Mathematical Physics, 30:2 (2023), 646–662 |
3. |
I. A. Bobrova, V. V. Sokolov,, “On classification of non-abelian Painlevé type systems”, Journal of Geometry and Physics, 191 (2023), 104885 |
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2022 |
4. |
I.A. Bobrova, V. V. Sokolov“, On matrix Painlevé-4 equations”, Nonlinearity, 35:12 (2022), 6528-6556 |
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2021 |
5. |
V. V. Sokolov, “Non-Abelian $\mathfrak{so}_3$ Euler top”, Russian Math. Surveys, 76:1 (2021), 183–185 |
6. |
V. E. Adler, V. V. Sokolov, “Matrix Painlevé II equations”, Theoret. and Math. Phys., 207:2 (2021), 560–571 |
7. |
V. V. Sokolov, I. P. Shestakov, “Multi-component generalizations of mKdV equation and nonassociative algebraic structures”, Journal of Algebra and its Applications, 20:4 (2021), 2150050 |
8. |
V. E. Adler, V. V. Sokolov, “Non-Abelian Evolution Systems with Conservation Laws”, Mathematical physics analysis and geometry, 24:7 (2021) |
9. |
A. Odesskii, V. Sokolov, “Noncommutative elliptic Poisson structures on projective spaces”, J. Geometry & Physics, 169 (2021), 104330 |
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2020 |
10. |
V. V. Sokolov, T. Wolf, “Non-commutative generalization of integrable quadratic ODE-systems”, Letters in Mathematical Physics, 110:3 (2020), 533—553 |
11. |
V. V. Sokolov, “Integrable evolution systems of geometric type”, Theoret. and Math. Phys., 202:3 (2020), 428–436 |
12. |
A. G. Meshkov, V. V. Sokolov, “Classification of integrable vector equations of geometric type”, Journal of Geometry and Physics, 149 (2020) https://doi.org/10.1016/j.geomphys.2019.103581 |
13. |
Vladimir Sokolov, Algebraic Structures in Integrability, World Scientific, Singapore, 2020 , 327 pp. |
14. |
V. E. Adler, P. Winternitz, R. N. Garifullin, A. V. Zhiber, D. Levi, A. V. Mikhailov, I. Kh. Musin, F. W. Nijhoff, V. V. Sokolov, B. I. Suleimanov, E. V. Ferapontov, A. P. Fordy, I. T. Habibullin, I. Yu. Cherdantsev, R. A. Sharipov, R. S. Yulmukhametov, “In memory of Yamilov Ravil Islamovich”, Ufa Math. J., 12:3 (2020), 119–120 |
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2019 |
15. |
V. V. Sokolov, Algebraicheskie struktury v teorii integriruemykh sistem, 1-e izd., eds. V. Kats, Institut kompyuternykh issledovanii, M.–Izhevsk :, 2019 , 368 pp. |
16. |
R. Hernandez Heredero, V. V. Sokolov, “The symmetry approach to integrability: recent advances”, Nonlinear Systems and Their Remarkable Mathematical Structures, 2, eds. N. Euler, M. C. Nucci, CRC Press, Boca Raton, 2019, 119–157 |
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2018 |
17. |
V. V. Sokolov, “Elliptic Calogero-Moser Hamiltonians and Compatible Poisson Brackets”, Recent Developments in Integrable Systems and Related Topics of Mathematical Physics (Kezenoi-Am, Russia, 2016), Springer Proceedings in Mathematics and Statistics, 273, eds. V. M. Buchstaber, S. Konstantinou-Rizos, A. V. Mikhailov, Springer, 2018, 38–46 |
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2017 |
18. |
M. G. Matushko, V. V. Sokolov, “Polynomial forms for quantum elliptic Calogero–Moser Hamiltonians”, Theoret. and Math. Phys., 191:1 (2017), 480–490 |
19. |
V. V. Sokolov, A. S. Sorin, “Integrable cosmological potentials”, Letters in Mathematical Physics, 107:9 (2017), 1741–1768 |
20. |
A. G. Meshkov, V. V. Sokolov, “On third order integrable vector Hamiltonian equations”, Journal of Geometry and Physics, 113 (2017), 206–214 |
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2016 |
21. |
V. V. Sokolov, A. B. Shabat, “Rational solutions of a Riccati equation”, Russian Math. Surveys, 71:4 (2016), 787–789 |
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2015 |
22. |
V. V. Sokolov, “Algebraic quantum Hamiltonians on the plane”, Theoret. and Math. Phys., 184:1 (2015), 940–952 |
23. |
V. V. Sokolov, A. V. Turbiner, “Quasi-exact-solvability of the A_2/G_2 elliptic model: algebraic form, sl(3)/g^{(2)} hidden algebra, and polynomial eigenfunctions”, Journal of Physics A: Mathematical and Theoretical, 48:15 (2015), 155201 |
24. |
A. M. Kamchatnov, V. V. Sokolov, “Nonlinear waves in two-component Bose-Einstein condensates: Manakov system and Kowalevski equations”, Physical Review A, 91:4 (2015), 043621 |
25. |
A. G. Meshkov, V. V. Sokolov, “Integrable Hamiltonian equations of fifth order with the Hamiltonian operator D_x”, Russian Journal of Mathematical Physics, 22:2 (2015), 201—214 |
26. |
V. V. Sokolov, A. V. Turbiner, “Quasi-exact-solvability of the A_2/G_2 elliptic model: algebraic form, sl(3)/g^{(2)} hidden algebra, and polynomial eigenfunctions”, correction, Journal of Physics A: Mathematical and Theoretical, 48:35 (2015), 359501 |
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2014 |
27. |
A. Meshkov, V. Sokolov, “Vector hyperbolic equations on the sphere possessing Integrable third-order symmetries”, Letters in Mathematical Physics, 104:3 (2014), 341–360 |
28. |
A. V. Odesskii, V. N. Roubtsov, V. V. Sokolov, “Double Poisson brackets depending on parameters”, International Journal of Geometric Methods in Modern Physics, 11:9 (2014), 1460036 |
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2013 |
29. |
V. V. Sokolov, “Classification of constant solutions of the associative Yang–Baxter equation on $\operatorname{Mat}_3$”, Theoret. and Math. Phys., 176:3 (2013), 1156–1162 |
30. |
A. V. Odesskii, V. N. Rubtsov, V. V. Sokolov, “Double Poisson brackets on free associative algebras”, Contemporary Mathematics, 592 (2013), 225–241 |
31. |
A. V. Odesskii, V. V. Sokolov, “Non-homogeneous systems of hydrodynamic type possessing Lax representations”, Communications in Mathematical Physics, 324:1 (2013), 47–62 |
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2012 |
32. |
A. V. Odesskii, V. N. Rubtsov, V. V. Sokolov, “Bi-Hamiltonian ordinary differential equations with matrix variables”, Theoret. and Math. Phys., 171:1 (2012), 442–447 |
33. |
A. G. Meshkov, V. V. Sokolov, “Integrable evolution equations with a constant separant”, Ufimsk. Mat. Zh., 4:3 (2012), 104–154 |
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2011 |
34. |
A. G. Meshkov, V. V. Sokolov, “Hyperbolic equations with third-order symmetries”, Theoret. and Math. Phys., 166:1 (2011), 43–57 |
35. |
M. Dunajski, V. Sokolov, “On the 7th order ODE with submaximal symmetry”, Journal of Geometry and Physics, 61:8 (2011), 1258–1262 |
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2010 |
36. |
V. G. Marikhin, V. V. Sokolov, “Some integral equations related to random Gaussian processes”, Theoret. and Math. Phys., 164:2 (2010), 992–1001 |
37. |
A. V. Odesskii, V. V. Sokolov, “Integrable $(2+1)$-dimensional systems of hydrodynamic type”, Theoret. and Math. Phys., 163:2 (2010), 549–586 |
38. |
A. V. Odesskii, V. V. Sokolov, “Integrable pseudopotentials related to generalized hypergeometric functions”, Selecta Mathematica, 16:1 (2010), 145–172 |
39. |
A. V. Odesskii, V. V. Sokolov, “Classification of integrable hydrodynamic chains”, Journal of Physics A: Mathematical and Theoretical, 43:43 (2010), 434027 |
40. |
V. G. Marikhin, V. V. Sokolov, “Transformation of a pair of commuting Hamiltonians quadratic in momenta to canonical form and real partial separation of variables for the Clebsch top”, Regular and Chaotic Dynamics, 15:6 (2010), 652-–658 |
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2009 |
41. |
A. V. Odesskii, V. V. Sokolov, “Integrable elliptic pseudopotentials”, Theoret. and Math. Phys., 161:1 (2009), 1340–1352 |
42. |
A. V. Mikhailov, V. V. Sokolov, “Symmetries of differential equations and the problem of Integrability”, Integrability, Lecture Notes in Physics, 767, eds. A. V. Mikhailov,, Springer, 2009, 19–88 |
43. |
E. V. Ferapontov, A. Moro, V. V. Sokolov, “Hamiltonian systems of hydrodynamic type in 2+1 dimensions”, Communications in Mathematical Physics, 285:1 (2009), 31–65 |
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2008 |
44. |
A. V. Odesskii, V. V. Sokolov, “On (2+1)-Dimensional Hydrodynamic Type Systems Possessing a Pseudopotential with Movable Singularities”, Funct. Anal. Appl., 42:3 (2008), 205–212 |
45. |
V. G. Marikhin, V. V. Sokolov, “On the reduction of the pair of hamiltonians quadratic in momenta to canonic form and real partial separation of variables for the Clebsch top”, Nelin. Dinam., 4:3 (2008), 313–322 |
46. |
V. V. Sokolov, S. Ya. Startsev, “Symmetries of nonlinear hyperbolic systems of the Toda chain type”, Theoret. and Math. Phys., 155:2 (2008), 802–811 |
47. |
A. V. Odesskii, M. V. Pavlov, V. V. Sokolov, “Classification of integrable Vlasov-type equations”, Theoret. and Math. Phys., 154:2 (2008), 209–219 |
48. |
D. K. Demskoy, V. V. Sokolov, “On recursion operators for elliptic models”, Nonlinearity, 21:6 (2008), 1253–1264 |
49. |
A. V. Odesskii, V. V. Sokolov, “Pairs of compatible associative algebras, classical Yang-Baxter equation and quiver representations”, Communications in Mathematical Physics, 278:1 (2008), 83–99 |
50. |
L. M. Barkov, A. E. Bondar, N. S. Dikanskii, G. I. Dimov, È. P. Kruglyakov, G. N. Kulipanov, I. N. Meshkov, V. V. Parkhomchuk, A. N. Skrinsky, V. V. Sokolov, V. S. Fadin, I. B. Khriplovich, “In memory of Boris Valerianovich Chirikov”, Phys. Usp., 51:4 (2008), 423–424 |
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