05.13.18; 05.13.17 (Mathematical modeling, numerical methods, and the program systems; Theoretical foundation for informatics)
E-mail:
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Keywords:
modern group analysis,
renormalization group,
renormgroup symmetries.
Main publications:
Kovalev V. F., Krivenko S. V., Pustovalov V. V., “Gruppovoi analiz kineticheskogo uravneniya Vlasova”, Differentsialnye uravneniya, 29:10 (1993), 1804–1817; 29:11, 1971–1983
Kovalev V. F., “Renormgruppoi analiz singulyarnosti v zadache o samofokusirovke volnovogo puchka”, TMF, 119:3 (1999), 405–418
Kovalev V. F., Bychenkov V. Yu., Tikhonchuk V. T., “Renormalization-group approach to the problem of light-beam self-focusing”, Phys. Rev. A, 61:3 (2000), 033809, 10 pp.
Kovalev V. F., “Approximate Transformation Groups and Renormgroup Symmetries”, Nonlinear Dynamics, 22 (2000), 73–83
Shirkov D. V., Kovalev V. F., “The Bogoliubov renormalization group and solution symmetry in mathematical physics”, Physical Reports, 352:4–6 (2001), 219–249
V. Yu. Bychenkov, V. F. Kovalev, “Самозахват лазерного света для ультрарелятивистских интенсивностей”, Pis'ma v Zh. Èksper. Teoret. Fiz., 120:5 (2024), 346–353
2.
I. I. Metelskii, V. F. Kovalev, V. Yu. Bychenkov, “Relativistic-nonlinear resonant absorption and generation of harmonics of electromagnetic radiation in an inhomogeneous plasma”, UFN, 194:5 (2024), 457–494; Phys. Usp., 67:5 (2024), 429–463
2023
3.
A. S. Kuratov, A. V. Brantov, V. F. Kovalev, V. Yu. Bychenkov, “Laser source of super-high-power terahertz radiation”, Kvantovaya Elektronika, 53:3 (2023), 253–258 [Bull. Lebedev Physics Institute, 50:suppl. 7 (2023), S821–S828]
V. F. Kovalev, V. Yu. Bychenkov, “Relativistic Coulomb explosion of a spherical microtarget”, Kvantovaya Elektronika, 53:3 (2023), 210–216 [Bull. Lebedev Physics Institute, 50:suppl. 7 (2023), S762–S771]
V. F. Kovalev, V. Yu. Bychenkov, “Cumulation and mixing of ions in a tubular focus of a high-power laser pulse”, Kvantovaya Elektronika, 51:11 (2021), 1009–1018 [Quantum Electron., 51:11 (2021), 1009–1018]
2018
6.
V. F. Kovalev, V. Yu. Bychenkov, “Self-focusing of a light beam in a medium with relativistic nonlinearity: new analytical solutions”, Pis'ma v Zh. Èksper. Teoret. Fiz., 107:8 (2018), 484–490; JETP Letters, 107:8 (2018), 458–463
V. F. Kovalev, S. G. Bochkarev, V. Yu. Bychenkov, “Radial acceleration of ions during adiabatic expansion of a multicomponent cylindrical plasma”, Kvantovaya Elektronika, 47:11 (2017), 1023–1030 [Quantum Electron., 47:11 (2017), 1023–1030]
V. Yu. Bychenkov, A. V. Brantov, E. A. Govras, V. F. Kovalev, “Laser acceleration of ions: recent results and prospects for applications”, UFN, 185:1 (2015), 77–88; Phys. Usp., 58:1 (2015), 71–81
V. F. Kovalev, R. V. Kulikov, “Generalized Webster equation: exact and approximate renormgroup symmetries, invariant solutions and conservation laws”, Ufimsk. Mat. Zh., 4:4 (2012), 91–107
I. A. Andriyash, V. Yu. Bychenkov, V. F. Kovalev, “Coulomb explosion of a cluster with a complex ion composition”, Pis'ma v Zh. Èksper. Teoret. Fiz., 87:11 (2008), 720–724; JETP Letters, 87:11 (2008), 623–627
V. Yu. Bychenkov, S. M. Garina, G. I. Dudnikova, N. V. Zmitrenko, V. F. Kovalev, T. V. Liseikina, “Numerical simulation of harmonics generation by ultrashort laser pulses”, Matem. Mod., 20:8 (2008), 61–73; Math. Models Comput. Simul., 1:4 (2009), 503–513
13.
V. F. Kovalev, D. V. Shirkov, “Renormalization-group symmetries for solutions of nonlinear boundary value problems”, UFN, 178:8 (2008), 849–865; Phys. Usp., 51:8 (2008), 815–830
V. F. Kovalev, B. N. Chetverushkin, “On the Galilean group for balance relations generating kinetic schemes”, Zh. Vychisl. Mat. Mat. Fiz., 46:3 (2006), 485–489; Comput. Math. Math. Phys., 46:3 (2006), 465–469
2005
15.
V. Yu. Bychenkov, V. F. Kovalev, “On the maximum energy of ions in a disintegrating ultrathin foil irradiated by a high-power ultrashort laser pulse”, Kvantovaya Elektronika, 35:12 (2005), 1143–1145 [Quantum Electron., 35:12 (2005), 1143–1145]
A. P. Mikhailov, V. A. Shvedovskii, A. I. Maslov, V. F. Kovalev, “The generalized model of choice behaviour and its application to ethno-political conflicts”, Matem. Mod., 15:8 (2003), 39–56
V. F. Kovalev, V. Yu. Bychenkov, V. T. Tihonchyuk, “Ion acceleration during adiabatic plasma expansion: Renormalization group approach”, Pis'ma v Zh. Èksper. Teoret. Fiz., 74:1 (2001), 12–16; JETP Letters, 74:1 (2001), 10–14
V. F. Kovalev, D. V. Shirkov, “Functional self-similarity and renormalization group symmetry in mathematical physics”, TMF, 121:1 (1999), 66–88; Theoret. and Math. Phys., 121:1 (1999), 1315–1332
V. F. Kovalev, “Renormalization group analysis for singularities in the wave beam self-focusing problem”, TMF, 119:3 (1999), 405–418; Theoret. and Math. Phys., 119:3 (1999), 719–730
V. F. Kovalev, “Renormgroup symmetries in problems of nonlinear geometrical optics”, TMF, 111:3 (1997), 369–388; Theoret. and Math. Phys., 111:3 (1997), 686–702
V. F. Kovalev, S. V. Krivenko, V. V. Pustovalov, “Group analysis of the Vlasov kinetic equation. II”, Differ. Uravn., 29:11 (1993), 1971–1983; Differ. Equ., 29:11 (1993), 1712–1721
V. F. Kovalev, S. V. Krivenko, V. V. Pustovalov, “Group analysis of the Vlasov kinetic equation. I”, Differ. Uravn., 29:10 (1993), 1804–1817; Differ. Equ., 29:10 (1993), 1568–1578
V. F. Kovalev, V. V. Pustovalov, S. I. Senashov, “The Lie–Bäcklund group of the equations of nonlinear geometric optics”, Differ. Uravn., 29:10 (1993), 1751–1764; Differ. Equ., 29:10 (1993), 1521–1531
V. F. Kovalev, V. V. Pustovalov, “Thermal oscillations of radiation harmonics generated by a laser plasma”, Kvantovaya Elektronika, 16:11 (1989), 2261–2266 [Sov J Quantum Electron, 19:11 (1989), 1454–1457]
V. F. Kovalev, V. V. Pustovalov, “Functional self-similarity in a problem of plasma theory with electron nonlinearity”, TMF, 81:1 (1989), 69–85; Theoret. and Math. Phys., 81:1 (1989), 1060–1071
V. F. Kovalev, V. V. Pustovalov, “Laser flux causing reversal of plasma waves”, Kvantovaya Elektronika, 15:4 (1988), 726–731 [Sov J Quantum Electron, 18:4 (1988), 463–466]
V. V. Pustovalov, M. A. Savchenko, V. F. Kovalev, “NONLINEAR-INTERACTION OF THE WHISPERING GALLERY MODE WITH SURFACE-WAVES
IN THE CYLINDRICAL PLASMA RESONATOR”, Zhurnal Tekhnicheskoi Fiziki, 55:7 (1985), 1249–1253
28.
A. V. Vinogradov, I. V. Kozhevnikov, V. V. Pustovalov, V. F. Kovalev, “DIFFRACTION THEORY OF SLIDING MODES IN CONCAVO MIRRORS AND RESONATORS OF
THE X-RAY RANGE .2.”, Zhurnal Tekhnicheskoi Fiziki, 55:3 (1985), 567–574
A. V. Vinogradov, I. V. Kozhevnikov, V. V. Pustovalov, V. F. Kovalev, “CONCAVE AND REVOLVING MIRRORS OF THE X-RAY REGION .1.”, Zhurnal Tekhnicheskoi Fiziki, 55:2 (1985), 244–250
V. F. Kovalev, V. V. Pustovalov, M. A. Savchenko, “Generation of the second harmonic of soft x rays by reflection from a concave mirror”, Kvantovaya Elektronika, 12:8 (1985), 1602–1606 [Sov J Quantum Electron, 15:8 (1985), 1057–1059]
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