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Sokolov Vladimir Vyacheslavovich

Publications


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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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
2. I. Bobrova, V. Sokolov, “Classification of Hamiltonian non-abelian Painlevé type systems”, Journal of Nonlinear Mathematical Physics, 30:2 (2023), 646–662  crossref  mathscinet  zmath  adsnasa  isi
3. I. A. Bobrova, V. V. Sokolov,, “On classification of non-abelian Painlevé type systems”, Journal of Geometry and Physics, 191 (2023), 104885  crossref  mathscinet  zmath  adsnasa  isi

   2022
4. I.A. Bobrova, V. V. Sokolov“, On matrix Painlevé-4 equations”, Nonlinearity, 35:12 (2022), 6528-6556  crossref  mathscinet  zmath  adsnasa  scopus

   2021
5. V. V. Sokolov, “Non-Abelian $\mathfrak{so}_3$ Euler top”, Russian Math. Surveys, 76:1 (2021), 183–185  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
6. V. E. Adler, V. V. Sokolov, “Matrix Painlevé II equations”, Theoret. and Math. Phys., 207:2 (2021), 560–571  mathnet  crossref  crossref  mathscinet  adsnasa  isi
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  crossref  mathscinet  isi  elib  scopus
8. V. E. Adler, V. V. Sokolov, “Non-Abelian Evolution Systems with Conservation Laws”, Mathematical physics analysis and geometry, 24:7 (2021)  crossref  zmath  adsnasa  isi  elib  scopus
9. A. Odesskii, V. Sokolov, “Noncommutative elliptic Poisson structures on projective spaces”, J. Geometry & Physics, 169 (2021), 104330  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2020
10. V. V. Sokolov, T. Wolf, “Non-commutative generalization of integrable quadratic ODE-systems”, Letters in Mathematical Physics, 110:3 (2020), 533—553  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
11. V. V. Sokolov, “Integrable evolution systems of geometric type”, Theoret. and Math. Phys., 202:3 (2020), 428–436  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
13. Vladimir Sokolov, Algebraic Structures in Integrability, World Scientific, Singapore, 2020 , 327 pp.  mathscinet  zmath  elib
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  mathnet  mathscinet  isi

   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  crossref  adsnasa

   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  crossref  mathscinet  zmath  isi  elib  scopus

   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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
19. V. V. Sokolov, A. S. Sorin, “Integrable cosmological potentials”, Letters in Mathematical Physics, 107:9 (2017), 1741–1768  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
20. A. G. Meshkov, V. V. Sokolov, “On third order integrable vector Hamiltonian equations”, Journal of Geometry and Physics, 113 (2017), 206–214  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2016
21. V. V. Sokolov, A. B. Shabat, “Rational solutions of a Riccati equation”, Russian Math. Surveys, 71:4 (2016), 787–789  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2015
22. V. V. Sokolov, “Algebraic quantum Hamiltonians on the plane”, Theoret. and Math. Phys., 184:1 (2015), 940–952  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
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  crossref  mathscinet  adsnasa  isi  elib  scopus
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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
30. A. V. Odesskii, V. N. Rubtsov, V. V. Sokolov, “Double Poisson brackets on free associative algebras”, Contemporary Mathematics, 592 (2013), 225–241  crossref  mathscinet  isi
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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
33. A. G. Meshkov, V. V. Sokolov, “Integrable evolution equations with a constant separant”, Ufimsk. Mat. Zh., 4:3 (2012), 104–154  mathnet  mathscinet  zmath  isi  elib

   2011
34. A. G. Meshkov, V. V. Sokolov, “Hyperbolic equations with third-order symmetries”, Theoret. and Math. Phys., 166:1 (2011), 43–57  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
35. M. Dunajski, V. Sokolov, “On the 7th order ODE with submaximal symmetry”, Journal of Geometry and Physics, 61:8 (2011), 1258–1262  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
37. A. V. Odesskii, V. V. Sokolov, “Integrable $(2+1)$-dimensional systems of hydrodynamic type”, Theoret. and Math. Phys., 163:2 (2010), 549–586  mathnet  crossref  crossref  zmath  adsnasa  isi  elib  elib  scopus
38. A. V. Odesskii, V. V. Sokolov, “Integrable pseudopotentials related to generalized hypergeometric functions”, Selecta Mathematica, 16:1 (2010), 145–172  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
39. A. V. Odesskii, V. V. Sokolov, “Classification of integrable hydrodynamic chains”, Journal of Physics A: Mathematical and Theoretical, 43:43 (2010), 434027  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
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  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2009
41. A. V. Odesskii, V. V. Sokolov, “Integrable elliptic pseudopotentials”, Theoret. and Math. Phys., 161:1 (2009), 1340–1352  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
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  crossref  mathscinet  zmath  adsnasa  isi  scopus
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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
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  mathnet  elib
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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
48. D. K. Demskoy, V. V. Sokolov, “On recursion operators for elliptic models”, Nonlinearity, 21:6 (2008), 1253–1264  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
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  mathnet  crossref  crossref  adsnasa  isi
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© Steklov Math. Inst. of RAS, 2025