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Kaptsov, Oleg Viktorovich
Statistics Math-Net.Ru
Total publications: 33
Scientific articles: 33
Presentations: 2

Number of views:
This page:2468
Abstract pages:6786
Full texts:3270
References:802
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person8637
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/188385

Publications in Math-Net.Ru Citations
2024
1. Oleg V. Kaptsov, “Symmetries of linear and nonlinear partial differential equations”, J. Sib. Fed. Univ. Math. Phys., 17:5 (2024),  570–574  mathnet
2. O. V. Kaptsov, “Solutions of linear model hydrodynamic equations with variable coefficients”, Prikl. Mekh. Tekh. Fiz., 65:5 (2024),  95–102  mathnet
2023
3. Oleg V. Kaptsov, “Contact mappings of jet spaces”, J. Sib. Fed. Univ. Math. Phys., 16:5 (2023),  583–590  mathnet 1
4. O. V. Kaptsov, “Solutions of a system of two-dimensional Euler equations and stationary structures in an ideal fluid”, Prikl. Mekh. Tekh. Fiz., 64:2 (2023),  64–74  mathnet  elib; J. Appl. Mech. Tech. Phys., 64:2 (2023), 230–239
2022
5. Oleg V. Kaptsov, “Some solutions of the Euler system of an inviscid incompressible fluid”, J. Sib. Fed. Univ. Math. Phys., 15:5 (2022),  672–678  mathnet  mathscinet
2021
6. Oleg V. Kaptsov, “Iterations and groups of formal transformations”, J. Sib. Fed. Univ. Math. Phys., 14:5 (2021),  584–588  mathnet  isi
7. O. V. Kaptsov, D. O. Kaptsov, “Symmetries and solutions of the three-dimensional Kadomtsev–Petviashvili equation”, Prikl. Mekh. Tekh. Fiz., 62:4 (2021),  142–147  mathnet  elib; J. Appl. Mech. Tech. Phys., 62:4 (2021), 649–653 1
8. O. V. Kaptsov, M. M. Mirzaokhmedov, “General solutions of some linear equations with variable coefficients”, Ufimsk. Mat. Zh., 13:2 (2021),  36–43  mathnet; Ufa Math. J., 13:2 (2021), 33–40  isi  scopus 3
2020
9. Oleg V. Kaptsov, “Ideals generated by differential equations”, J. Sib. Fed. Univ. Math. Phys., 13:2 (2020),  170–186  mathnet  isi
2019
10. Oleg V. Kaptsov, “Symmetries of differential ideals and differential equations”, J. Sib. Fed. Univ. Math. Phys., 12:2 (2019),  185–190  mathnet  isi
11. O. V. Kaptsov, D. O. Kaptsov, “Waves and structures in the Boussinesq equations”, Prikl. Mekh. Tekh. Fiz., 60:2 (2019),  220–225  mathnet  elib; J. Appl. Mech. Tech. Phys., 60:2 (2019), 377–381 2
2018
12. Oleg V. Kaptsov, “Intermediate systems and higher-order differential constraints”, J. Sib. Fed. Univ. Math. Phys., 11:5 (2018),  550–560  mathnet  isi
2016
13. O. V. Kaptsov, “Algebraic and geometric structures of analytic partial differential equations”, TMF, 189:2 (2016),  219–238  mathnet  mathscinet  elib; Theoret. and Math. Phys., 189:2 (2016), 1592–1608  isi  scopus 1
2015
14. O. V. Kaptsov, A. V. Fomina, G. G. Chernykh, A. V. Schmidt, “Self-similar decay of the momentumless turbulent wake in a passive stratified medium”, Matem. Mod., 27:1 (2015),  84–98  mathnet  elib 6
15. O. V. Kaptsov, “Local algebraic analysis of differential systems”, TMF, 183:3 (2015),  342–358  mathnet  mathscinet  elib; Theoret. and Math. Phys., 183:3 (2015), 740–755  isi  scopus 2
2012
16. O. V. Kaptsov, A. V. Fomina, G. G. Chernykh, A. V. Schmidt, “Self-similar degeneration of the turbulent wake behind a body towed in a passively stratified medium”, Prikl. Mekh. Tekh. Fiz., 53:5 (2012),  47–54  mathnet  elib; J. Appl. Mech. Tech. Phys., 53:5 (2012), 672–678 2
17. Oleg V. Kaptsov, Alexey V. Schmidt, “Application of the $B$-determining equations method to one problem of free turbulence”, SIGMA, 8 (2012), 073, 10 pp.  mathnet  mathscinet  isi  scopus 6
2009
18. I. A. Efremov, O. V. Kaptsov, G. G. Chernykh, “Self-similar solutions for two problems of free turbulence”, Matem. Mod., 21:12 (2009),  137–144  mathnet  mathscinet 7
2008
19. O. V. Kaptsov, I. A. Efremov, A. V. Schmidt, “Self-similar solutions of the second-order model of the far turbulent wake”, Prikl. Mekh. Tekh. Fiz., 49:2 (2008),  74–78  mathnet  elib; J. Appl. Mech. Tech. Phys., 49:2 (2008), 217–221 5
2006
20. O. V. Kaptsov, “Invariant tensors and partial differential equations”, Sibirsk. Mat. Zh., 47:2 (2006),  316–328  mathnet  mathscinet  zmath; Siberian Math. J., 47:2 (2006), 258–268  isi  scopus
2004
21. O. V. Kaptsov, “Invariants of characteristics of some systems of partial differential equations”, Sibirsk. Mat. Zh., 45:3 (2004),  577–591  mathnet  mathscinet  zmath; Siberian Math. J., 45:3 (2004), 475–487  isi 3
2002
22. O. V. Kaptsov, “Involutive distributions, invariant manifolds, and defining equations”, Sibirsk. Mat. Zh., 43:3 (2002),  539–551  mathnet  mathscinet  zmath; Siberian Math. J., 43:3 (2002), 428–438  isi 2
1999
23. O. V. Kaptsov, Yu. V. Shan'ko, “Multiparametric solutions of the Tzitzeica equation”, Differ. Uravn., 35:12 (1999),  1660–1668  mathnet  mathscinet; Differ. Equ., 35:12 (1999), 1683–1692
1998
24. O. V. Kaptsov, “Some classes of two-dimensional stationary vortex structures in an ideal liquid”, Prikl. Mekh. Tekh. Fiz., 39:4 (1998),  50–53  mathnet; J. Appl. Mech. Tech. Phys., 39:4 (1998), 524–527 1
25. O. V. Kaptsov, “Construction of exact solutions of the Boussinesq equation”, Prikl. Mekh. Tekh. Fiz., 39:3 (1998),  74–78  mathnet; J. Appl. Mech. Tech. Phys., 39:3 (1998), 389–392 23
26. O. V. Kaptsov, “Linear determining equations for differential constraints”, Mat. Sb., 189:12 (1998),  103–118  mathnet  mathscinet  zmath; Sb. Math., 189:12 (1998), 1839–1854  isi  scopus 22
1995
27. O. V. Kaptsov, “Construction of exact solutions for systems of diffusion equations”, Matem. Mod., 7:3 (1995),  107–115  mathnet  mathscinet  zmath 1
1994
28. Yu. V. Shan'ko, O. V. Kaptsov, “Optimal systems of subalgebras and invariant solutions of rank two for three-dimensional Euler equations”, Differ. Uravn., 30:10 (1994),  1814–1819  mathnet  mathscinet; Differ. Equ., 30:10 (1994), 16780–1683
1992
29. O. V. Kaptsov, “Nonlinear diffusion equations and invariant manifolds”, Matem. Mod., 4:8 (1992),  31–46  mathnet  mathscinet  zmath 1
1989
30. O. V. Kaptsov, “Some classes of two-dimensional vortex flows of an ideal fluid”, Prikl. Mekh. Tekh. Fiz., 30:1 (1989),  109–117  mathnet; J. Appl. Mech. Tech. Phys., 30:1 (1989), 105–112 2
1988
31. O. V. Kaptsov, “Elliptic solutions of the stationary Euler equations”, Dokl. Akad. Nauk SSSR, 298:3 (1988),  597–600  mathnet  mathscinet  zmath; Dokl. Math., 33:1 (1988), 44–46 1
1982
32. O. V. Kaptsov, “Extension of the symmetry of evolution equations”, Dokl. Akad. Nauk SSSR, 262:5 (1982),  1056–1059  mathnet  mathscinet  zmath 3
33. O. V. Kaptsov, “Classification of evolution equations by conservation laws”, Funktsional. Anal. i Prilozhen., 16:1 (1982),  72–73  mathnet  mathscinet  zmath; Funct. Anal. Appl., 16:1 (1982), 59–61  isi 4

Presentations in Math-Net.Ru
1. From analytic iteration to turbulence models
O. Kaptsov
Dynamics in Siberia - 2018
February 27, 2018 15:00
2. Non-invariant solutions of the three-dimensional semi-empirical model of the far turbulent wake
O. V. Kaptsov, A. V. Schmidt
International Workshop «Geometric Structures in Integrable Systems»
October 30, 2012 11:10

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