Kaptsov Oleg Viktorovich

Publications in Math-Net.Ru

1. Contact germs and their application to partial differential equations
   
   Mat. Zametki, 117:5 (2025),  687–698
2. Integration of equations of acoustics of inhomogeneous media
   
   TMF, 223:2 (2025),  279–291
3. Symmetries of linear and nonlinear partial differential equations
   
   J. Sib. Fed. Univ. Math. Phys., 17:5 (2024),  570–574
4. Solutions of linear model hydrodynamic equations with variable coefficients
   
   Prikl. Mekh. Tekh. Fiz., 65:5 (2024),  95–102
5. Contact mappings of jet spaces
   
   J. Sib. Fed. Univ. Math. Phys., 16:5 (2023),  583–590
6. 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
7. Some solutions of the Euler system of an inviscid incompressible fluid
   
   J. Sib. Fed. Univ. Math. Phys., 15:5 (2022),  672–678
8. Iterations and groups of formal transformations
   
   J. Sib. Fed. Univ. Math. Phys., 14:5 (2021),  584–588
9. Symmetries and solutions of the three-dimensional Kadomtsev–Petviashvili equation
   
   Prikl. Mekh. Tekh. Fiz., 62:4 (2021),  142–147
10. General solutions of some linear equations with variable coefficients
    
    Ufimsk. Mat. Zh., 13:2 (2021),  36–43
11. Ideals generated by differential equations
    
    J. Sib. Fed. Univ. Math. Phys., 13:2 (2020),  170–186
12. Symmetries of differential ideals and differential equations
    
    J. Sib. Fed. Univ. Math. Phys., 12:2 (2019),  185–190
13. Waves and structures in the Boussinesq equations
    
    Prikl. Mekh. Tekh. Fiz., 60:2 (2019),  220–225
14. Intermediate systems and higher-order differential constraints
    
    J. Sib. Fed. Univ. Math. Phys., 11:5 (2018),  550–560
15. Algebraic and geometric structures of analytic partial differential equations
    
    TMF, 189:2 (2016),  219–238
16. Self-similar decay of the momentumless turbulent wake in a passive stratified medium
    
    Mat. Model., 27:1 (2015),  84–98
17. Local algebraic analysis of differential systems
    
    TMF, 183:3 (2015),  342–358
18. 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
19. Application of the $B$-determining equations method to one problem of free turbulence
    
    SIGMA, 8 (2012), 073, 10 pp.
20. Self-similar solutions for two problems of free turbulence
    
    Mat. Model., 21:12 (2009),  137–144
21. Self-similar solutions of the second-order model of the far turbulent wake
    
    Prikl. Mekh. Tekh. Fiz., 49:2 (2008),  74–78
22. Invariant tensors and partial differential equations
    
    Sibirsk. Mat. Zh., 47:2 (2006),  316–328
23. Invariants of characteristics of some systems of partial differential equations
    
    Sibirsk. Mat. Zh., 45:3 (2004),  577–591
24. Involutive distributions, invariant manifolds, and defining equations
    
    Sibirsk. Mat. Zh., 43:3 (2002),  539–551
25. Multiparametric solutions of the Tzitzeica equation
    
    Differ. Uravn., 35:12 (1999),  1660–1668
26. Some classes of two-dimensional stationary vortex structures in an ideal liquid
    
    Prikl. Mekh. Tekh. Fiz., 39:4 (1998),  50–53
27. Construction of exact solutions of the Boussinesq equation
    
    Prikl. Mekh. Tekh. Fiz., 39:3 (1998),  74–78
28. Linear determining equations for differential constraints
    
    Mat. Sb., 189:12 (1998),  103–118
29. Construction of exact solutions for systems of diffusion equations
    
    Mat. Model., 7:3 (1995),  107–115
30. Optimal systems of subalgebras and invariant solutions of rank two for three-dimensional Euler equations
    
    Differ. Uravn., 30:10 (1994),  1814–1819
31. Nonlinear diffusion equations and invariant manifolds
    
    Mat. Model., 4:8 (1992),  31–46
32. Some classes of two-dimensional vortex flows of an ideal fluid
    
    Prikl. Mekh. Tekh. Fiz., 30:1 (1989),  109–117
33. Elliptic solutions of the stationary Euler equations
    
    Dokl. Akad. Nauk SSSR, 298:3 (1988),  597–600
34. Extension of the symmetry of evolution equations
    
    Dokl. Akad. Nauk SSSR, 262:5 (1982),  1056–1059
35. Classification of evolution equations by conservation laws
    
    Funktsional. Anal. i Prilozhen., 16:1 (1982),  72–73