Publications in Math-Net.Ru |
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2020 |
1. |
Oleg V. Kaptsov, “Ideals generated by differential equations”, J. Sib. Fed. Univ. Math. Phys., 13:2 (2020), 170–186 |
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2019 |
2. |
Oleg V. Kaptsov, “Symmetries of differential ideals and differential equations”, J. Sib. Fed. Univ. Math. Phys., 12:2 (2019), 185–190 |
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2018 |
3. |
Oleg V. Kaptsov, “Intermediate systems and higher-order differential constraints”, J. Sib. Fed. Univ. Math. Phys., 11:5 (2018), 550–560 |
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2016 |
4. |
O. V. Kaptsov, “Algebraic and geometric structures of analytic partial differential equations”, TMF, 189:2 (2016), 219–238 ; Theoret. and Math. Phys., 189:2 (2016), 1592–1608 |
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2015 |
5. |
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 |
6. |
O. V. Kaptsov, “Local algebraic analysis of differential systems”, TMF, 183:3 (2015), 342–358 ; Theoret. and Math. Phys., 183:3 (2015), 740–755 |
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2012 |
7. |
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. |
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2009 |
8. |
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 |
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2006 |
9. |
O. V. Kaptsov, “Invariant tensors and partial differential equations”, Sibirsk. Mat. Zh., 47:2 (2006), 316–328 ; Siberian Math. J., 47:2 (2006), 258–268 |
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2004 |
10. |
O. V. Kaptsov, “Invariants of characteristics of some systems of partial differential equations”, Sibirsk. Mat. Zh., 45:3 (2004), 577–591 ; Siberian Math. J., 45:3 (2004), 475–487 |
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2002 |
11. |
O. V. Kaptsov, “Involutive distributions, invariant manifolds, and defining equations”, Sibirsk. Mat. Zh., 43:3 (2002), 539–551 ; Siberian Math. J., 43:3 (2002), 428–438 |
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1999 |
12. |
O. V. Kaptsov, Yu. V. Shan'ko, “Multiparametric solutions of the Tzitzeica equation”, Differ. Uravn., 35:12 (1999), 1660–1668 ; Differ. Equ., 35:12 (1999), 1683–1692 |
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1998 |
13. |
O. V. Kaptsov, “Linear determining equations for differential constraints”, Mat. Sb., 189:12 (1998), 103–118 ; Sb. Math., 189:12 (1998), 1839–1854 |
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1995 |
14. |
O. V. Kaptsov, “Construction of exact solutions for systems of diffusion equations”, Matem. Mod., 7:3 (1995), 107–115 |
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1994 |
15. |
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 ; Differ. Equ., 30:10 (1994), 16780–1683 |
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1992 |
16. |
O. V. Kaptsov, “Nonlinear diffusion equations and invariant manifolds”, Matem. Mod., 4:8 (1992), 31–46 |
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1988 |
17. |
O. V. Kaptsov, “Elliptic solutions of the stationary Euler equations”, Dokl. Akad. Nauk SSSR, 298:3 (1988), 597–600 ; Dokl. Math., 33:1 (1988), 44–46 |
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1982 |
18. |
O. V. Kaptsov, “Extension of the symmetry of evolution equations”, Dokl. Akad. Nauk SSSR, 262:5 (1982), 1056–1059 |
19. |
O. V. Kaptsov, “Classification of evolution equations by conservation laws”, Funktsional. Anal. i Prilozhen., 16:1 (1982), 72–73 ; Funct. Anal. Appl., 16:1 (1982), 59–61 |
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