| List of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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 2024 |
| 1. |
A. A. Kosov, È. I. Semenov, “On multidimensional exact solutions of the nonlinear diffusion equation of the pantograph type with variable delay”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 34:3 (2024), 359–374    |
| 2. |
A. A. Kosov, E. I. Semenov, “On Exact Solutions to Multidimensional Generalized Monge - Amp`ere Equation”, Differential Equations, 60:10 (2024), 1404–1418 |
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| 2023 |
| 3. |
A. A. Kosov, E. I. Semenov, “On a Nonlinear Second-Order Ordinary Differential Equation”, Differential Equations, 59:1 (2023), 143–146  |
| 4. |
A. A. Kosov, È. I. Semenov, V. V. Tirskikh, “On multidimensional exact solutions of a nonlinear reaction–diffusion system”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:2 (2023), 225–239 |
| 5. |
A. A. Kosov, E. I. Semenov, “On the Integrability and Stability of Stationary Solutions of the Goryachev–Sretensky Gyrostat”, Journal of Applied and Industrial Mathematics, 17:3 (2023), 557–570 |
| 6. |
A. A. Kosov, E. I. Semenov, “On Exact Solutions of a Multidimensional System of Elliptic Equations with Power-Law Nonlinearities”, Differential Equations, 59:12 (2023), 1627–1649  |
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| 2022 |
| 7. |
A. A. Kosov, E. I. Semenov, “On first integrals and stability of stationary motions of gyrostat”, Physica D: Nonlinear Phenomena, 430:133103 (2022), 1–11
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| 8. |
A. A. Kosov, E. I. Semenov, “Reduction Method and New Exact Solutions of the Multidimensional Nonlinear Heat Equation”, Differential Equations, 58:2 (2022), 187–194 |
| 9. |
A. A. Kosov, È. I. Semenov, “On the Movement of Gyrostat under the Action of Potential and Gyroscopic Forces”, Zhurnal SVMO, 24:1 (2022), 66–75 |
| 10. |
A. A. Kosov, E. I. Semenov, “New Exact Solutions of the Diffusion Equation with Power Nonlinearity”, Siberian Mathematical Journal, 63:6 (2022), 1102–1116 |
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| 2021 |
| 11. |
A. A. Kosov, E. I. Semenov, V. V. Tirskikh, “On Exact Multidimensional Solutions to a Nonlinear System of Fourth-Order Hyperbolic Equations”, Journal of Applied and Industrial Mathematics, 15 (2021), 253–260 |
| 12. |
A. A. Kosov, È. I. Semenov, “On exact solutions of equations of rotational motion of a rigid body under action of torque of circular-gyroscopic forces”, Zhurnal SVMO, 23:2 (2021), 159–170 |
| 13. |
A. A. Kosov, È. I. Semenov, “On the existence of periodic solutions of a fourth-order nonlinear system of parabolic equations”, Differential Equations and Optimal Control, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 196, VINITI, Moscow, 2021, 98–104 |
| 14. |
A. A. Kosov, E. I. Semenov, “Distributed model of space exploration by two types of interacting robots and its exact solutions”, Journal of Physics: Conference Series, 1847:012007 (2021), 1–4 |
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| 2020 |
| 15. |
A. A. Kosov, E. I. Semenov, “Exact Solutions of the Generalized Richards Equation with Power-Law Nonlinearities”, Differential Equations, 56:9 (2020), 1119–1129   |
| 16. |
A. A. Kosov, E. I. Semenov, V. V. Tirskikh, “Obobschennoe uravnenie Bussineska i ego tochnye resheniya”, Vestnik BGU. Matematika i informatika, 2020, no. 1, 3–10 |
| 17. |
A. A. Kosov, E. I. Semenov, “Anizotropnye resheniya nelineinoi kineticheskoi modeli ellipticheskogo tipa”, Vestnik Yuzhno-Uralskogo gosudarstvennogo universiteta. Seriya: Matematicheskoe modelirovanie i programmirovanie, 13:4 (2020), 48–57
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| 2019 |
| 18. |
A. A. Kosov, E. I. Semenov, V. V. Tirskikh, “On exact multidimensional solutions of a nonlinear system of first order partial differential equations”, Bulletin of Irkutsk State University-series Mathematics, 28 (2019), 53–68 |
| 19. |
A. A. Kosov, È. I. Semenov, “Exact solutions of the nonlinear diffusion equation”, Siberian Math. J., 60:1 (2019), 93–107 |
| 20. |
A. A. Kosov, È. I. Semenov, “Construction of exact solutions and analysis of stability of complex systems by reduction to ordinary differential equations with power nonlinearities”, Zhurnal SVMO, 21:1 (2019), 60–69 |
| 21. |
A. A. Kosov, E. I. Semenov, “Reductions and exact solutions of nonlinear elliptic systems of a special form”, Differential Equations, 55:6 (2019), 824–831 |
| 22. |
A. A. Kosov, E. I. Semenov, “The Lambert function and exact solutions of nonlinear parabolic equations”, Russian Mathematics, 63:8 (2019), 10–16 |
| 23. |
A. A. Kosov, E. I. Semenov, V. V. Tirskikh, “Multidimensional exact solutions of a system of nonlinear Boussinesq type equations”, The Bulletin of Irkutsk State University. Series Mathematics, 30 (2019), 114–124 |
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| 2018 |
| 24. |
A. A. Kosov, E. I. Semenov, “On periodic solutions of a nonlinear reaction-diffusion system”, Bulletin of Irkutsk State University-series Mathematics, 26 (2018), 34–45 |
| 25. |
A. A. Kosov, E. I. Semenov, “On analytic periodic solutions to nonlinear differential equations with delay (advance)”, Russian Mathematics, 10 (2018), 34–42 |
| 26. |
A. A. Kosov, E. I. Semenov, “First integrals and periodic solutions of a system with power nonlinearities”, J. Appl. Industr. Math., 12:1 (2018), 70–83 |
| 27. |
G. A. Rudykh, È. I. Semenov, “Research of compatibility of the redefined system for the multidimensional nonlinear heat equation”, Mathematical notes of NEFU, 25:1 (2018), 50–62 |
| 28. |
A. A. Kosov, E. I. Semenov, “On Exact Multidimensional Solutions of a Nonlinear System of Reaction–Diffusion Equations”, Differential Equations, 54:1 (2018), 106–120 |
| 29. |
M. V. Bulatov, A. V. Keller, A. A. Kosov, A. V. Lakeev, A. A. Levin, Nguen Khak Diep, Nguen Dik Bang, N. A. Manakova, G. A. Rudykh, È. I. Semenov, L. S. Solovarova, E. V. Chistyakova, “To the 70th anniversary of professor V. F. Chistyakov”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:4 (2018), 169–176 |
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| 2017 |
| 30. |
A. A. Kosov, E. I. Semenov, S. P. Golysheva, “First integrals and exact solutions of a system of ordinary differential equations with power nonlinearity”, The Bulletin of Irkutsk State University. Series Mathematics, 20 (2017), 45–60 |
| 31. |
A. A. Kosov, E. I. Semenov, “Multidimensional exact solutions to the reaction-diffusion system with power-law nonlinear terms”, Siberian Math. J., 58:4 (2017), 619–632 |
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| 2016 |
| 32. |
G. A. Rudykh, E. I. Semenov, “Research of compatibility of the redefined system for the multidimensional nonlinear heat equation (special case)”, The Bulletin of Irkutsk State University. Series Mathematics, 18 (2016), 93–109 |
| 33. |
A. A. Kosov, E. I. Semenov, “Reduction and construction of exact solutions for a nonlinear system of the parabolic type”, Differential Equations, 52:4 (2016), 483–494 |
| 34. |
A. A. Kosov, E. I. Semenov, A. V. Sinitsyn, “Integrability of the limit model for a vacuum diode and a solution to the singular boundary-value problem”, Electronic Journal of Differential Equations, 2016, no. 230, 1–16 |
| 35. |
A. A. Kosov, E. I. Semenov, V. V. Tirskikh, S. P. Golysheva, “Statsionarnye resheniya odnoi nelineinoi sistemy, primenyaemoi pri modelirovanii sovremennykh tekhnologii”, Sovremennye tekhnologii. Sistemnyi analiz. Modelirovanie., 52:4 (2016), 90–94 |
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| 2015 |
| 36. |
A. A. Kosov, E. I. Semenov, “Exact solutions of a class of nonlinear elliptic systems of a special type”, The Bulletin of Irkutsk State University. Series Mathematics, 11 (2015), 69–79 |
| 37. |
A. A. Kosov, E. I. Semyonov, “On reduction and exact solutions of one class of nonlinear elliptic systems”, Russian Mathematics, 59:12 (2015), 36–45 |
| 38. |
A. A. Kosov, E. I. Semenov, A. V. Sinitsyn, “Constructing solutions to systems of nonlinear equations for magnetic insulation modelling”, J. Appl. Industr. Math., 9:2 (2015), 227–240 |
| 39. |
A. A. Kosov, E. I. Semenov, “Multidimensional exact solutions of a nonlinear system of two parabolic equations”, Siberian Math. J., 56:4 (2015), 637–649 |
| 40. |
E. I. Semenov, A. A. Kosov, “On multidimensional exact solutions of a nonlinear system of two equations of elliptic type”, Differential Equations, 51:2 (2015), 232–242 |
| 41. |
A. A. Kosov, E. I. Semenov, “Reduction, exact solutions, and control design for a certain nonlinear system of parabolic type”, DOKLADY MATHEMATICS, 91:1 (2015), 121–124 |
| 42. |
A. A. Kosov, E. I. Semenov, A. V. Sinitsyn, “First integrals and exact solutions of the generalized models of magnetic insulation”, Publications de lInstitut Mathématique, 98:112 (2015), 119–135 |
| 43. |
A. A. Kosov, E. I. Semenov, V. V. Tirskikh, “O tochnykh resheniyakh i integralakh odnoi sistemy nelineinykh uravnenii”, Sovremennye tekhnologii. Sistemnyi analiz. Modelirovanie., 47:3 (2015), 22–25 |
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| 2014 |
| 44. |
A. A. Kosov, E. I. Semenov, “Multidimensional Exact Solutions of a Class of Elliptic Systems”, The Bulletin of Irkutsk State University. Series Mathematics, 9 (2014), 49–60 |
| 45. |
E. Semenov, “On the First Integrals of the Generalized Abel Equation of the Second Kind of Special Form”, The Bulletin of Irkutsk State University. Series Mathematics, 7 (2014), 124–132 |
| 46. |
A. A. Kosov, E. I. Semenov, V. V. Tirskikh, “O tochnykh resheniyakh odnoi sistemy nelineinykh uravnenii ellipticheskogo tipa”, Sovremennye tekhnologii. Sistemnyi analiz. Modelirovanie., 42:2 (2014), 16–20 |
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| 2013 |
| 47. |
G. A. Rudykh, E. I. Semenov, “Construction of exact solutions of one-dimensional nonlinear diffusion method of linear invariant subspaces”, The Bulletin of Irkutsk State University. Series Mathematics, 6:4 (2013), 69–84 |
| 48. |
A. A. Kosov, E. I. Semenov, A. V. Sinitsyn, “Integrable models of magnetic insulation and their exact radially symmetric solutions”, The Bulletin of Irkutsk State University. Series Mathematics, 6:1 (2013), 45–56 |
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| 2012 |
| 49. |
E. I. Semenov, A. V. Sinitsyn, “New family of stationary distributions of the two-particle relativistic equations of Vlasov–Maxwell–Fokker–Planck”, The Bulletin of Irkutsk State University. Series Mathematics, 5:2 (2012), 18–30 |
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| 2011 |
| 50. |
E. I. Semenov, A. V. Sinitsyn, “On a family of steady-state distributions of the Vlasov–Maxwell–Fokker–Planck system”, The Bulletin of Irkutsk State University. Series Mathematics, 4:3 (2011), 124–131 |
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| 2010 |
| 51. |
E. I. Semenov, A. V. Sinitsyn, “Mathematical model of magnetic insulation vacuum diode and its exact solutions”, The Bulletin of Irkutsk State University. Series Mathematics, 3:1 (2010), 78–91 |
| 52. |
E. I. Semenov, A. V. Sinitsyn, “New stationary distributions of the Vlasov–Maxwell–Fokker–Plancks system”, Physics Letters A, 374:41 (2010), 4222–4225  |
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| 2009 |
| 53. |
E. I. Semenov, “Uravnenie nelineinoi diffuzii i konformnoe preobrazovanie koordinat”, Sovremennye tekhnologii. Sistemnyi analiz. Modelirovanie., 24:4 (2009), 56–58 |
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| 2008 |
| 54. |
È. I. Semenov, “New exact solutions to the nonautonomous Liouville equation”, Siberian Math. J., 49:1 (2008), 166–174 |
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| 2007 |
| 55. |
E. I. Semenov, “Preobrazovanie godografa i nelineinye uravneniya matematicheskoi fiziki”, Izvestiya Irkutskogo gosudarstvennogo universiteta Seriya Matematika, 1:1 (2007), 245–253 |
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| 2006 |
| 56. |
È. I. Semenov, “Multidimensional exact solutions to a quasilinear parabolic equation with anisotropic heat conductivity”, Siberian Math. J., 47:2 (2006), 376–382 |
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| 2005 |
| 57. |
E. I. Semenov, “Mnogomernoe uravnenie bystroi diffuzii, ego svoistva i tochnye resheniya”, Optimizatsiya, upravlenie, intellekt, 2005, no. 11, 161–171 |
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| 2003 |
| 58. |
È. I. Semenov, “Properties of the fast diffusion equation and its multidimensional exact solutions”, Siberian Math. J., 44:4 (2003), 680–685 |
| 59. |
G. A. Rudykh, E. I. Semenov, Suschestvovanie i kachestvennyi analiz tochnykh neavtomodelnykh reshenii mnogomernogo uravneniya nelineinoi diffuzii. S. 352–396, Nelineinyi analiz i nelineinye differentsialnye uravneniya, eds. V.A. Trenogin, A.F. Filippov, FIZMATLIT, Moskva, 2003 , 464 pp. |
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| 2002 |
| 60. |
E. I. Semenov, “Anisotropic Solutions of a System of Nonlinear Parabolic Equations”, Differ. Equ., 38:9 (2002), 1375–1377 |
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| 2001 |
| 61. |
È. I. Semenov, G. A. Rudykh, “Exact Non-Self-Similar Solutions of the Equation”, Math. Notes, 70:5 (2001), 714–719 |
| 62. |
G. A. Rudykh, È. I. Semenov, “Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. II”, Siberian Math. J., 42:1 (2001), 157–175 |
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| 2000 |
| 63. |
G. A. Rudykh, È. I. Semenov, “Non-self-similar solutions of multidimensional nonlinear diffusion equations”, Math. Notes, 67:2 (2000), 200–206 |
| 64. |
G. A. Rudykh, È. I. Semenov, “Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. I”, Siberian Math. J., 41:5 (2000), 940–959 |
| 65. |
G. A. Rudykh, E. I. Semenov, “Novye tochnye resheniya neodnorodnogo uravneniya nelineinogo teplomassoperenosa”, Optimizatsiya, upravlenie, intellekt, 1:5 (2000), 63–69 |
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| 1998 |
| 66. |
G. A. Rudykh, È. I. Semenov, “Exact nonnegative solutions of the multidimensional nonlinear diffusion equation”, Siberian Math. J., 39:5 (1998), 977–985 |
| 67. |
G. A. Rudykh, È. I. Semenov, “On new exact solutions of the one-dimensional nonlinear diffusion equation with a source (sink)”, Comput. Math. Math. Phys., 38:6 (1998), 930–936 |
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| 1997 |
| 68. |
G. A. Rudykh, È. I. Semenov, “New exact solutions of the one-dimensional nonlinear diffusion equation”, Siberian Math. J., 38:5 (1997), 978–987 |
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| 1995 |
| 69. |
G. A. Rudykh, È. I. Semenov, “Lax representations and Bäcklund transformations for one-dimensional nonlinear evolution equations”, Siberian Math. J., 36:1 (1995), 147–159 |
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| 1993 |
| 70. |
G. A. Rudykh, È. I. Semënov, “The construction of exact solutions of the multidimensional quasilinear heat-conduction equation”, Comput. Math. Math. Phys., 33:8 (1993), 1087–1097 |
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| 1992 |
| 71. |
V. M. Matrosov, D. N. Zayzev, Y. A. Markov, G. A. Rudykh, E. I. Semenov, N. A. Sidorov, A. V. Sinitsyn, D. A. Tolstonogov, “Development of Lyapunov direct method in the theory and mathematical modeling of plasma stability”, IEEE International Conference on Plasma, IEEE Conference Record, 25, no. 6, 1992, 143 |
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| 1991 |
| 72. |
G. A. Rudykh, E. I. Semenov, “Commutational representations and Backlund transformations for the one-dimensional nonlinear equation of evolution”, Differential equations and control theory, Pitman Research Notes in Mathematics Series, 250, eds. V. Barbu, Longman Scientific & Technical, Harlow, Essex, UK, 1991, 289–295 |
| 73. |
G. A. Rudykh, E. I. Semenov, Ob odnom podkhode postroeniya chastnykh tochnykh reshenii kvazilineinogo uravneniya teploprovodnosti s N prostranstvennymi peremennymi, Preprint № 6, IrVTs SO AN SSSR, Irkutsk, 1991 , 21 pp. |
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| 1990 |
| 74. |
G. A. Rudykh, E. I. Semenov, “Application of Liouville's equation to construction of special exact solutions for the quasilinear heat equation”, IMACS Ann. Comput. and Appl. Math., 1990, no. 8, 193–196 |
| 75. |
G. A. Rudykh, E. I. Semenov, Kommutatsionnye predstavleniya i preobrazovaniya Beklunda dlya nelineinogo evolyutsionnogo uravneniya s odnoi prostranstvennoi peremennoi, Preprint № 7, IrVTs SO AN SSSR, Irkutsk, 1990 , 70 pp. |
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| 1987 |
| 76. |
E. I. Semenov, Dostatochnye usloviya ustoichivosti trekhmernykh statsionarnykh reshenii idealnoi magnitnoi gidrodinamiki, Preprint № 9, IrVTs SO AN SSSR, Irkutsk, 1987 , 12 pp. |
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