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Publications in Math-Net.Ru |
Citations |
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2019 |
1. |
Yu. V. Bibik, S. P. Popov, “Soliton solutions of a generalization of the coupled Volterra system”, Zh. Vychisl. Mat. Mat. Fiz., 59:11 (2019), 1872–1882 ; Comput. Math. Math. Phys., 59:11 (2019), 1806–1815 |
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2. |
S. P. Popov, “Compacton solutions of the Korteweg–de Vries equation with constrained nonlinear dispersion”, Zh. Vychisl. Mat. Mat. Fiz., 59:1 (2019), 158–168 ; Comput. Math. Math. Phys., 59:1 (2019), 150–159 |
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2018 |
3. |
S. P. Popov, “Compactons and Riemann waves of an extended modified Korteweg–de Vries equation with nonlinear dispersion”, Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018), 459–472 ; Comput. Math. Math. Phys., 58:3 (2018), 437–448 |
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2017 |
4. |
S. P. Popov, “New compacton solutions of an extended Rosenau–Pikovsky equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:9 (2017), 1560–1569 ; Comput. Math. Math. Phys., 57:9 (2017), 1540–1549 |
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2016 |
5. |
S. P. Popov, “Nonautonomous soliton solutions of the modified Korteweg–de Vries-sine-Gordon equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:11 (2016), 1960–1969 ; Comput. Math. Math. Phys., 56:11 (2016), 1929–1937 |
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2015 |
6. |
S. P. Popov, “Scattering of solitons by dislocations in the modified Korteweg de Vries–sine-Gordon equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:12 (2015), 2055–2066 ; Comput. Math. Math. Phys., 55:12 (2015), 2014–2024 |
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7. |
S. P. Popov, “Numerical analysis of soliton solutions of the modified Korteweg–de Vries–sine-Gordon equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015), 435–445 ; Comput. Math. Math. Phys., 55:3 (2015), 437–446 |
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2014 |
8. |
S. P. Popov, “Interactions of breathers and kink pairs of the double sine-Gordon equation”, Zh. Vychisl. Mat. Mat. Fiz., 54:12 (2014), 1954–1964 ; Comput. Math. Math. Phys., 54:12 (2014), 1876–1885 |
12
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2013 |
9. |
S. P. Popov, “Influence of dislocations on kink solutions of the double sine-Gordon equation”, Zh. Vychisl. Mat. Mat. Fiz., 53:12 (2013), 2072–2081 ; Comput. Math. Math. Phys., 53:12 (2013), 1891–1899 |
10
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10. |
S. P. Popov, “Limiting solitons and kinks in two-dimensional discrete systems”, Zh. Vychisl. Mat. Mat. Fiz., 53:5 (2013), 792–799 ; Comput. Math. Math. Phys., 53:5 (2013), 625–631 |
1
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11. |
S. P. Popov, “Effect of cubic nonlinearity on soliton solutions of the Benjamin–Bona–Mahony equation”, Zh. Vychisl. Mat. Mat. Fiz., 53:4 (2013), 624–633 ; Comput. Math. Math. Phys., 53:4 (2013), 477–485 |
2
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2011 |
12. |
S. P. Popov, “Numerical study of Peakons and $k$-Solitons of the Camassa–Holm and Holm–Hone equations”, Zh. Vychisl. Mat. Mat. Fiz., 51:7 (2011), 1317–1325 ; Comput. Math. Math. Phys., 51:7 (2011), 1231–1238 |
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2010 |
13. |
S. P. Popov, “Application of the quasi-spectral fourier method to soliton equations”, Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010), 2176–2183 ; Comput. Math. Math. Phys., 50:12 (2010), 2064–2070 |
12
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2009 |
14. |
S. P. Popov, “Numerical simulation of soliton in simple two-dimensional lattice”, Matem. Mod., 21:9 (2009), 27–33 |
2
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15. |
S. P. Popov, “Perturbed soliton solutions of the sine-Gordon equation”, Zh. Vychisl. Mat. Mat. Fiz., 49:12 (2009), 2182–2188 ; Comput. Math. Math. Phys., 49:12 (2009), 2085–2091 |
9
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16. |
S. P. Popov, “On the shapes of two-dimensional soliton perturbations in simple lattices”, Zh. Vychisl. Mat. Mat. Fiz., 49:2 (2009), 323–331 ; Comput. Math. Math. Phys., 49:2 (2009), 314–322 |
2
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2008 |
17. |
S. P. Popov, F. G. Cheremisin, “Subsonic rarefied gas flow over a rack of flat transverse plates”, Prikl. Mekh. Tekh. Fiz., 49:1 (2008), 59–67 ; J. Appl. Mech. Tech. Phys., 49:1 (2008), 46–52 |
1
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18. |
S. P. Popov, “Soliton solutions to generalized discrete Korteweg–de Vries equations”, Zh. Vychisl. Mat. Mat. Fiz., 48:9 (2008), 1698–1709 ; Comput. Math. Math. Phys., 48:9 (2008), 1658–1668 |
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2007 |
19. |
S. P. Popov, “Numerical study of the interaction between shocks and rarefaction waves in an ideal gas”, Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007), 155–161 ; Comput. Math. Math. Phys., 47:1 (2007), 151–156 |
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2006 |
20. |
S. P. Popov, “Numerical analysis of the Toda lattice equations”, Zh. Vychisl. Mat. Mat. Fiz., 46:6 (2006), 1032–1044 ; Comput. Math. Math. Phys., 46:6 (2006), 983–994 |
1
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2004 |
21. |
Yu. V. Bibik, S. P. Popov, “Numerical simulation of soliton solutions of simples discrete equations and their continual limits”, Matem. Mod., 16:5 (2004), 66–82 |
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22. |
S. P. Popov, “On properties of the two-dimensional soliton solutions of an evolution equation”, Zh. Vychisl. Mat. Mat. Fiz., 44:7 (2004), 1289–1298 ; Comput. Math. Math. Phys., 44:7 (2004), 1221–1230 |
23. |
Yu. V. Bibik, S. P. Popov, D. A. Sarancha, “Numerical solution of the Bogoyavlenskii kinetic equation and the Lotka–Volterra system with diffusion”, Zh. Vychisl. Mat. Mat. Fiz., 44:5 (2004), 904–916 ; Comput. Math. Math. Phys., 44:5 (2004), 856–867 |
1
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2003 |
24. |
S. P. Popov, F. G. Cheremisin, “Supersonic rarefied gas flow through a grid of normally posed plane plates”, Matem. Mod., 15:6 (2003), 125–128 |
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2002 |
25. |
V. N. Diesperov, S. P. Popov, “The structure of an unsteady transonic flow around a flat plate with transverse slot injection”, Zh. Vychisl. Mat. Mat. Fiz., 42:11 (2002), 1744–1755 ; Comput. Math. Math. Phys., 42:11 (2002), 1677–1687 |
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2001 |
26. |
S. P. Popov, F. G. Cheremisin, “Example of simultaneous numerical solution of the Boltzmann and Navier–Stokes equations”, Zh. Vychisl. Mat. Mat. Fiz., 41:3 (2001), 489–500 ; Comput. Math. Math. Phys., 41:3 (2001), 457–468 |
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2000 |
27. |
S. P. Popov, F. G. Cheremisin, “Joint solution of Boltzmann and boundary layer equations”, Matem. Mod., 12:7 (2000), 71–78 |
2
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28. |
S. P. Popov, “Numerical implementation of two-soliton solutions to the Kadomtsev–Petviashvili equation”, Zh. Vychisl. Mat. Mat. Fiz., 40:10 (2000), 1508–1516 ; Comput. Math. Math. Phys., 40:10 (2000), 1447–1455 |
2
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1999 |
29. |
S. P. Popov, “Numerical simulation of two-soliton solutions to the Zakharov–Kuznetsov equation”, Zh. Vychisl. Mat. Mat. Fiz., 39:10 (1999), 1749–1757 ; Comput. Math. Math. Phys., 39:10 (1999), 1679–1686 |
6
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30. |
S. P. Popov, F. G. Cheremisin, “A conservative method for solving the Boltzmann equation with centrally symmetric interaction potentials”, Zh. Vychisl. Mat. Mat. Fiz., 39:1 (1999), 163–176 ; Comput. Math. Math. Phys., 39:1 (1999), 156–169 |
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1998 |
31. |
S. P. Popov, “Numerical analysis of certain periodic solutions to the Kadomtsev–Petviashvili equation”, Zh. Vychisl. Mat. Mat. Fiz., 38:10 (1998), 1710–1716 ; Comput. Math. Math. Phys., 38:10 (1998), 1641–1647 |
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32. |
V. I. Zhuk, S. P. Popov, “Soliton solutions of the two-dimensional Zakharov–Kuznetsov equation”, Zh. Vychisl. Mat. Mat. Fiz., 38:1 (1998), 122–135 ; Comput. Math. Math. Phys., 38:1 (1998), 118–131 |
2
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1997 |
33. |
V. V. Aristov, S. P. Popov, F. G. Cheremisin, I. N. Shishkova, “Numerical solution of the Boltzmann and Navier–Stokes equations for a planar jet impinging on a cooled surface”, Zh. Vychisl. Mat. Mat. Fiz., 37:2 (1997), 239–242 ; Comput. Math. Math. Phys., 37:2 (1997), 236–239 |
2
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1996 |
34. |
S. P. Popov, “Examples of numerical solutions of the stable Kadomtsev–Petviashvili equation with sources”, Zh. Vychisl. Mat. Mat. Fiz., 36:4 (1996), 62–70 |
2
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35. |
S. P. Popov, “A modification of the gas dynamic scheme SHASTA”, Zh. Vychisl. Mat. Mat. Fiz., 36:3 (1996), 130–134 ; Comput. Math. Math. Phys., 36:3 (1996), 391–394 |
1
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1992 |
36. |
S. P. Popov, “On soliton perturbations excited by an oscillator in a boundary layer”, Zh. Vychisl. Mat. Mat. Fiz., 32:1 (1992), 71–81 ; Comput. Math. Math. Phys., 32:1 (1992), 61–69 |
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1991 |
37. |
A. A. Makhmudov, S. P. Popov, “Numerical scheme for the boundary-layer equation with self-induced pressure”, Zh. Vychisl. Mat. Mat. Fiz., 31:2 (1991), 330–333 ; U.S.S.R. Comput. Math. Math. Phys., 31:2 (1991), 114–116 |
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1990 |
38. |
V. I. Zhuk, S. P. Popov, “Modelling of nonlinear waves in boundary layers based on burgers, Benjamin–Ono and Korteweg–de Vries equations”, Matem. Mod., 2:7 (1990), 96–109 |
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1989 |
39. |
S. P. Popov, “Structure of wave disturbances developing in a boundary layer with self-induced pressure in thin films”, Dokl. Akad. Nauk SSSR, 307:2 (1989), 309–311 |
40. |
V. I. Zhuk, S. P. Popov, “Nonlinear development of longwave inviscid perturbations in a boundary layer”, Prikl. Mekh. Tekh. Fiz., 30:3 (1989), 101–108 ; J. Appl. Mech. Tech. Phys., 30:3 (1989), 436–442 |
1
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41. |
V. I. Zhuk, S. P. Popov, “On the solutions of the inhomogeneous Benjamin–Ono equation”, Zh. Vychisl. Mat. Mat. Fiz., 29:12 (1989), 1852–1862 ; U.S.S.R. Comput. Math. Math. Phys., 29:6 (1989), 176–183 |
4
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42. |
A. M. Bishaev, E. F. Limar, S. P. Popov, E. M. Shakhov, “The entry of a freely expanding gas jet into a circular aperture in a transverse obstacle”, Zh. Vychisl. Mat. Mat. Fiz., 29:2 (1989), 277–285 ; U.S.S.R. Comput. Math. Math. Phys., 29:1 (1989), 193–198 |
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1988 |
43. |
V. I. Zhuk, S. P. Popov, “Nonsteady detachment wave in a boundary layer in supersonic streamline flow”, Dokl. Akad. Nauk SSSR, 303:4 (1988), 822–824 |
1
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1985 |
44. |
S. P. Popov, G. M. Fedorov, “Structure of an axisymmetrical nonstationary wave of absorption of laser radiation in a transparent dielectric”, Prikl. Mekh. Tekh. Fiz., 26:2 (1985), 15–17 ; J. Appl. Mech. Tech. Phys., 26:2 (1985), 162–164 |
45. |
S. P. Popov, G. M. Fedorov, “On the complex structure of a two-dimensional thermal wave that absorbs laser radiation”, Zh. Vychisl. Mat. Mat. Fiz., 25:6 (1985), 946–947 ; U.S.S.R. Comput. Math. Math. Phys., 25:3 (1985), 191–192 |
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1982 |
46. |
V. P. Parkhomenko, S. P. Popov, “Numerical investigation of the motion of a gas compressed by a collapsing spherical piston”, Zh. Vychisl. Mat. Mat. Fiz., 22:5 (1982), 1252–1255 ; U.S.S.R. Comput. Math. Math. Phys., 22:5 (1982), 245–249 |
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1980 |
47. |
S. P. Popov, Yu. I. Romashkevich, “Numerical study of the parameters of a low-density plasma that absorbs CO$_2$ laser radiation”, Prikl. Mekh. Tekh. Fiz., 21:4 (1980), 35–41 ; J. Appl. Mech. Tech. Phys., 21:4 (1980), 462–466 |
48. |
V. V. Aristov, A. A. Makhmudov, S. P. Popov, “Solution of the unsteady problem of the evolution of a discontinuity in a viscous heat-conducting gas”, Zh. Vychisl. Mat. Mat. Fiz., 20:4 (1980), 1066–1070 ; U.S.S.R. Comput. Math. Math. Phys., 20:4 (1980), 269–274 |
5
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1979 |
49. |
S. P. Popov, Yu. I. Romashkevich, “An algorithm for calculating two-dimensional non-equilibrium gas flows”, Zh. Vychisl. Mat. Mat. Fiz., 19:2 (1979), 546–550 ; U.S.S.R. Comput. Math. Math. Phys., 19:2 (1979), 293–297 |
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1977 |
50. |
S. P. Popov, Yu. I. Romashkevich, “An application of the splitting method to the calculation of two-temperature and ionized nonequilibrium gas flows”, Zh. Vychisl. Mat. Mat. Fiz., 17:6 (1977), 1602–1607 ; U.S.S.R. Comput. Math. Math. Phys., 17:6 (1977), 254–259 |
1
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51. |
V. P. Parkhomenko, S. P. Popov, O. S. Ryzhov, “Effect of the initial particle velocity on the non-stationary spherically-symmetric motions of a gas”, Zh. Vychisl. Mat. Mat. Fiz., 17:5 (1977), 1325–1329 ; U.S.S.R. Comput. Math. Math. Phys., 17:5 (1977), 226–231 |
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