Vyacheslav Vakhnenko Position: Chief Scientist Bogdan Khmelnytzky str. 63B, Kyiv, 01054, Ukraine Tel: 380 (44) 234-14-60 (work), 380 (44) 526-14-59 (home) Fax: 380 (44) 450-25-20 e-mail: vakhnenko@ukr.net

• Education
  
  1. Dr.Sciences (Doctor of Physical and Mathematical Sciences), Odessa State University, 1995
     
  2. Ph.D. (Candidate of Physical and Mathematical Sciences), Moscow Institute of Chemical Physics, 1984
     
  3. M.Sc, Moscow Physical Technical Institute, 1971-1977
  
  
• Honours and Awards
  1. Project Manager, STCU Project 1747, 2000-3
  2. Principal Investigator, International Science Foundation, Grants UAE000, UAE200, 1994-6
  3. Soviet Union Youth Scientists Prize Winner 1985
  4. Kyiv city Youth Prize Winner in the Science and Technique field 1985
  
  
• Research Interests
  1. Dynamics of nonlinear wave processes in the geophysical medium
  2. Nonlinear evolution equations, loop-like solitons, integrability
  3. Modelling and forecasting the wave action on geomaterials as well as on various objectives
  4. Diagnostic methods for heterogeneous media properties by nonlinear long waves

List of main publications

1. V.O. Vakhnenko, O.O. Vakhnenko, J.A. TenCate, T.J. Shankland, Quasistatic loading of Berea sandstone, Rep.NAS Ukr. No1, 118-126 (2008).
2. V.O. Vakhnenko, O.O. Vakhnenko, J.A. TenCate, T.J. Shankland, The dynamics of a sandstone bar under resonance loading, in Proceeding of the XX Session RAS, (27-31 October, 2008, Moscow).
3. V.O. Vakhnenko, O.O. Vakhnenko, J. A. TenCate, T.J. Shankland, Modeling of stress-strain dependences for Berea sandstone under quasi-static loading, Phys. Rev. B, v.76, 184108(8pages) (2007).
4. V.O.Vakhnenko, O.O.Vakhnenko, V.A.Danylenko, A relaxation model of the mechanical behaviour of a sandstone under quasistatic loading, Rep.NAS Ukr. N7, 109-115 (2007) (in Ukrainian).
5. V.O. Vakhnenko, E. J. Parkes, The solutions of a generalized Degasperis-Procesi equation, Rep.NAS Ukr. No8, 88-94 (2006).
6. O.O. Vakhnenko, V.O. Vakhnenko, T.J. Shankland, J.A. TenCate, Soft-ratchet modeling of slow dynamics in the nonlinear resonant response of sedimentary rocks, in Innovations in nonlinear acoustics: ISNA17 - 17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum, AIP Conference Proceedings – May 30, 2006 – Volume 838, pp. 120-123.
7. V.O. Vakhnenko, O.O. Vakhnenko, J.A. TenCate, T.J. Shankland, Dynamical realization of end-point memory in consolidated materials, in Innovations in nonlinear acoustics: ISNA17 - 17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum, AIP Conference Proceedings – May 30, 2006 – Volume 838, pp. 124-127.
8. E.J. Parkes, V.O. Vakhnenko, Explicit solutions of the Camassa–Holm equation, Chaos, Solitons and Fractals, v 26, 1309–1316 (2005).
9. O. Vakhnenko, V.O. Vakhnenko, and T.J. Shankland, Soft-ratchet modelling of end-point memory in the nonlinear resonant response of sedimentary rocks, Phys. Rev. B. v 71, 174103 (2005).
10. O.O. Vakhnenko, V.O. Vakhnenko, T.J. Shankland, and J.A. Ten Cate, Strain-induced kinetics of intergrain defects as the mechanism of slow dynamics in the nonlinear resonant response of humid sandstone bars, Phys Rev E. 70, Repid communicationі, 015602(R) (2004).
11. V.O. Vakhnenko, E.J. Parkes, Periodic and solitary-wave solutions of the Degasperis-Procesi equation, Chaos, Solitons and Fractals, v. 20, 1059-1073 (2004).
12. V.O. Vakhnenko, E.J. Parkes, The Connection of the Degasperis-Procesi equation with the Vakhnenko equation, in Proceedinds of the Fifth International Conference “Symmetry in Nonlinear Mathematical Physics”, (23-29 June, 2003, Kyiv), Editors A.G. Nikitin, V.M. Boyko and R.O. Popovych, Kyiv, Insitute of Mathematics, v.50, Part 1, 493-497 (2004).
13. V.O. Vakhnenko, E.J. Parkes, A.J. Morrison, A Backlund transformation and the inverse scattering transform method for the generalised Vakhnenko equation, Chaos, Solitons and Fractals v. 17, 683 – 692 (2003).
14. Vakhnenko V., Danylenko V. Nonlinear waves as a technical tool for diagnostics of the medium structure, Proceeding of the Tenth International Congress on Sound and Vibration (7-10 July, 2003, Stokholm, Sweden), 2003, v. 6, 3549-56.
15. Mykulyak S., Vakhnenko V., Danylenko V. The wave spectral evolution in a discrete medium with nonlinearity, Proceeding of the Tenth International Congress on Sound and Vibration (7-10 July, 2003, Stokholm, Sweden), 2003, Vol. 6, 3573-9.
16. V.О. Vаkhnenko, V.P. Nаgorny, I.I. Denisyuk, and А.V. Mishchenko, Estimation of rock failure zone under confined explosion, Journal of Mining Science, v. 39, No. 3, 247-254 (2003).
17. V.O. Vakhnenko, E.J. Parkes, The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method, Chaos, Solitons and Fractals vol. 13/9 1819-1826 (2002).
18. V.O. Vakhnenko, E.J. Parkes, The Inverse Scattering Method for the Equation Describing the High-Frequency Waves in a Relaxing Medium, in Proceedinds of 16 International Symposium on Nonlinear Acoustics (August 19 - 23, 2002, Moscow), Editors O.V. Rudenko, O.A. Sapozhnikov, Moscow, Moscow State University, 2002, 121-4.
19. V.O. Vakhnenko, Diagnostics of the Medium Structure by Long Nonlinear Wave, in Proceedinds of 16 International Symposium on Nonlinear Acoustics (August 19 - 23, 2002, Moscow), Editors O.V. Rudenko, O.A. Sapozhnikov, Moscow, Moscow State University, 2002, 847-50.
20. V.O. Vakhnenko, E.J. Parkes, A novel nonlinear evolution equation integrable by the inverse scattering method, in Proceedinds of Fourth International Conference “Symmetry in Nonlinear Mathematical Physics” (9-15 July, 2001, Kyiv), Editors A.G. Nikitin, V.M. Boyko and R.O. Popovych, Kyiv, Insitute of Mathematics, 2002, v.43, Part 1, 384-91.
21. V. O. Vakhnenko, E. J. Parkes, A novel nonlinear evolution equation and its Backlund transformation, Rep.NAS Ukr. N6, 91—96 (2001) (In English).
22. V.O. Vakhnenko, E.J. Parkes, A.J. Morrison, Integrability of a novel nonlinear evolution equation, Rep.NAS Ukr. N6, 86—92 (2002).
23. V.O. Vakhnenko, E.J. Parkes, A novel nonlinear evolution equation integrable by the inverse scattering method, Rep.NAS Ukr. N7, 81—86 (2002).
24. V.O. Vakhnenko, V.A. Danylenko, A.V. Michtchenko, Diagnostics of the medium structure by long wave of finite amplitude, Inter. J. Non-Linear Mech., 2000, v.35, p.1105-1113.
25. V.O. Vakhnenko, E.J. Parkes, A.V. Michtchenko, The Vakhnenko equation from the viewpoint of the inverse scattering method for the KdV equation, Inter. J. Differ. Eq. Appl., 2000, v.1, N4, p.429-450.
26. A.J. Morrison, E.J.,Parkes, V.O. Vakhnenko, The N loop soliton solution of the Vakhnenko equation, Nonlinearity, 1999, v.12, p. 1427-1437.
27. V.O. Vakhnenko, E.J. Parkes, V.A. Danylenko, Exact two-soliton solutions of a model nonlinear equation, Ukrainian Journal of Physics, 1999, v.44, N6, p.782-790 (in Ukrainian).
28. V.O. Vakhnenko, High frequency soliton-like waves in a relaxing medium, J. Math. Phys., 1999, v.40, N3, p.2011-2020.
29. V.A. Vakhnenko, Increase of nonlinear effect in a medium with microstructure, Acoustical Physics, 1999, v. 45, N2, p.151-157.
30. V.O. Vakhnenko, V.A. Danylenko, A.V. Michtchenko, An asymptotic averaged model of nonlinear long waves propagation in media with a regular structure, Inter. J. Non-Linear Mech., 1999, v.34, p.643-654.
31. V.O. Vakhnenko, E.J. Parkes, The two loop soliton solution of the Vakhnenko equation, Nonlinearity, 1998, v.11, p.1457-1464.
32. V.O. Vakhnenko, The existence of loop-like solutions of a model evolution equation, Ukrainian Journal of Physics, (in Ukrainian), 1997, v.42, N1, p.104-110.)
33. V.A. Vakhnenko, Diagnosis of the properties of a structurized medium by long nonlinear waves, Journal of Applied Mechanics and Technical Physics, 1996, v.37, N5, p. 643-649. (in Russian)
34. V.A. Vakhnenko, V.A. Danylenko, An asymptotic model of non-linear waves in natural multi-component media, Geophys. J., 1997, v.16, p. 674-685.
35. V.A. Vakhnenko, V.A. Danylenko, V.V. Kulich, Asymptotic justification of the Lyakhov model for multicomponent media, Combustion, Explosion and Shock Waves, 1996, v.32, N2, p.176-180.
36. O.O. Vakhnenko, V.O. Vakhnenko, Physically corrected Ablowitz-Ladik model and its application to the Peierls-Nabarro problem, Phys.Letters A, 1995, v.196, N5-6, p.307-312.
37. V.A. Vakhnenko, V.A.Danilenko, V.V.Kulich, Averaged description of shock-wave processes in periodic media, Sov.J.Chem.Phys., 1994, v.12(3), p.534-546.
38. V.A. Vakhnenko, V.A. Danilenko, V.V. Kulich, Averaged description of wave processes in geophysical medium, Geophysics J., (Ukraine), 1993, v.15, N6, p.66-71.
39. V.A. Vakhnenko, Solitons in a nonlinear model medium, J.Phys.A: Math.Gen., 1992, v.26, N15, p.4181-4187.
40. V.A. Vakhnenko and V.V. Kulich, Long-wave processes in periodic media, J.Appl. Mech. and Techn. Phys., 1992, v.32, p.814-820.
41. V.A. Vakhnenko, Periodic short-wave perturbations in a relaxing medium, Preprint, Institute of Geophysics, Ukrainian Acad. Sci., Kiev, 1991, 20p. (in Russian).
42. V.A. Vakhnenko, V.A. Danilenko, V.V. Kulich, Wave processes in periodic relaxing medium, Doklady Akademii nauk Ukrainskoi SSR 1991, N4, p.93-96.
43. V.M. Kudinov, B.I. Palamarchuk and V.A. Vakhnenko, Analysis of shock wave, Sov. Phys. Dokl. v. 28(10), October 1983, p.842-843.
44. V.A. Vakhnenko, B.A. Kurchj, Resonance model of lodging, Physiology and biochemistry of cultivated plants, 1990, v.22, N3, p.245-252.
45. L.S. Brizhik, Yu.B. Gaididei, A.A. Vakhnenko, V.A. Vakhnenko, Solitons generation in semi-infinite molecular chains, Physics stat.sol (b), 1988, v.146, N2, p.606-612.
46. A.V. Gayek, E.G. Popov, V.A. Vakhnenko, V.N. Bykov, B.I. Palamarchuk, Explosion parameters of oxyhydrocarbon mixtures in closed volume at explosive working, Fizika i khimija obrabotki materialov, 1988, N5, p.37-42.
47. V.A. Vakhnenko, B.A. Kurchj, Physical-mathematical model of lodging, Doklady Akademii nauk Ukr.SSR B, 1988, N12, p.54-56.
48. V.A. Vakhnenko, B.I. Palamarchuk, Evolution of strong shock waves in a medium with thermal relaxation, Soviet Applied Mechanics, 1986, September, p.267-277.
49. V.A. Vakhnenko and B.I. Palamarchuk, Description of shock-wave processes in a two-phase mrdium containing an incompressible phase, Journal of Applied Mechanics and Technical Physics, 1984, N1, p. 101-107.
50. V.A.Vakhnenko, V.M. Kudinov and B.I. Palamarchuk, Damping of srtong shocks in relaxing media, Combustion, Explosion and Shock Waves, 1984, v. 20, N1, p. 97--103.
51. V.A. Vakhnenko, I.A. Izmailov, V.A. Kochelap, Recombination gas-dynamic lasers on electron transitions in two-atomic molecules. Ukrainian Journal of Physics, 1984, v.29, N7, p. 996-1002.
52. V.M. Kudinov, B.I. Palamarchuk, V.A. Vakhnenko, A.V. Cherkashin, S.G. Lebed, A.T. Malakhov, Relaxation phenomena in two-phase media of a foamy structure. In: Shock Waves, Explosion, and Detonations. New York: AIAA, 1983, p. 96-118.
53. V.A. Vakhnenko, V.M. Kudinov, B.I. Palamarchuk, Effect of thermal relaxation on attenuation of shock waves in two-phase medium, Soviet Applied Mechanics, 1983, June, p. 1126-1133.
54. V.A. Vakhnenko, V.M. Kudinov, B.I. Palamarchuk, Analogy of motion of the two-phase media containing incompressible and gaseous phases with gas motion, Doklady Akademii nauk Ukr.SSR A, 1983, N6, p. 22-24.
55. N.Ya. Vasilik, V.A. Vakhnenko, A.D. Margolin, V.M. Shmelev. Energy characteristics of a carbon monoxide gasdynamics laser. Journal of Applied Mechanics and Technical Physics, 1978, N5, p. 587-593.

Last modified in November 2009 e-mail: vakhnenko@ukr.net