Vyacheslav BOYKO

Address:
Department of Applied Research
Institute of Mathematics
National Academy of Sciences of Ukraine
3 Tereshchenkivs'ka Street
01601 Kyiv-4
UKRAINE

Phone:
+380 (44) 234 63 22 (office)
+380 (44) 574 55 78 (home)

Fax:
+380 (44) 235 20 10 (office)

E-mail: boyko@imath.kiev.ua

URL: http://www.imath.kiev.ua/~boyko/

Date of birth: 25.08.1970 (Khmelnytskyi region, Ukraine)

Nationality: Ukraine

Academic background:
Associate Professor: 2005, Institute of Mathematics, Kyiv
Ph.D. in Math.: 1995, Institute of Mathematics, Kyiv
M.Sc. in Math.: 1992, Kyiv State University

Professional Experience:
1995-till now
Junior Researcher, Researcher, Senior Researcher at the Department of Applied Research of the Institute of Mathematics, Kyiv
1992-1995
Postgraduate Student, Institute of Mathematics, Kyiv (Supervisor Prof. W.I. Fushchych)

Marital Status: married, daughter (born 1999) and son (born 2001)

Area of Expertise
Symmetry analysis of differential equations and applications, group theory, Lie algebras

Awards and Grants
Grant of National Academy of Sciences of Ukraine for young scientists (2003-2004)
Scholarship of President of Ukraine for young scientists of National Academy of Sciences of Ukraine (2002-2004)
Prize of President of Ukraine for young scientists of National Academy of Sciences of Ukraine (2001)
Scholarship for young scientists of National Academy of Sciences of Ukraine (1997-1998)
AMS grant for graduate studies (1994-1995)

Referee
Acta Applicanda Mathematicae
Advances in Mathematical Physics
Applied Mathematics and Computation
Journal of Mathematical Analysis and Applications
Journal of Physics A: Mathematical and Theoretical
Reports on Mathematical Physics

Reviewer
Mathematical Review
Mathematical Zenterblatt

Participation at the International Conferences and Schools
6th Workshop Group Analysis of Differential Equations and Integrable Systems (June 17-21, 2012, Protaras, Cyprus)
I–VIII International Conferences ''Symmetry in Nonlinear Mathematical Physics'' (Kyiv, Ukraine, 1995, 1997, 1999, 2001, 2003, 2005, 2007, 2009)
4th Workshop Group Analysis of Differential Equations and Integrable Systems (October 26-30, 2008, Protaras, Cyprus)
Classical and Quantum Integrable Systems (January 22-25, 2007, Dubna, Russia)
Classical and Quantum Integrable Systems (January 26-29, 2004, Dubna, Russia)
2-nd Winter school on Theoretical Physics (January 30 - February 7, 2004, Dubna, Russia)
Algebraic and analytical methods in the theory of differential equations (November 14-19, 1996, Orel, Russia)

Short Scientific Visits
Department of Mathematics, University of Vienna (Vienna, Austria, 01.08-13.08.2010)
Centre de Recherches Mathematiques, Universite de Montreal (Montreal, Canada, 03.09-03.10.2005, 29.01-29.03.2006, 4.10-4.12.2006)
Institute of Mathematics, University of Bialystok (Bialystok, Poland, 12.12-19.12.2004)
Department of Mathematics, Lulea University of Technology (Lulea, Sweden, 30.11-20.12.2000)

Editorial and Other Activities
Associate Editor of the refereed online journal SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) (2005-till now)
Editor of Wilhelm Fushchych's memorial page (1999-till now)
Co-editor of a number of volumes of Collection of Works of Institute of Mathematics and Proceedings of Institute of Mathematics
Copy-Editor of Journal of Nonlinear Mathematical Physics (1995-2003)
Copy-Editor of Proceedings of NAS of Ukraine (Dopovidi NAN Ukrainy)  (1996-1997)
Associate Professor of Kyiv National Taras Shevchenko University (2005-2006)
Guest speaker on the General Meeting of NAS of Ukraine (May 2005)
Member of Commission on Questions of Reform of NAS of Ukraine (2005-2006)
Chairman of Young Scientists Board of the Institute of Mathematics (2002-2006)
Organization of the I–VIII International Conferences ''Symmetry in Nonlinear Mathematical Physics'' (Kyiv, Ukraine, 1995, 1997, 1999, 2001, 2003, 2005, 2007, 2009)
Teacher of Mathematics, School N 263, Kyiv (1992-1997)

External Referee/Examiner of Ph.D. Thesis
Kyriakos Charalambous, University of Cyprus, Nicosia, 2013
Ibrar Hussain, National University of Sciences and Technology, Rawalpindi, Pakistan, 2009


Scholar Google Reseach Profile       Researcher ID


Publications

  1. Boyko V.M., Popovych R.O. and Shapoval N.M., Equivalence groupoids of classes of linear ordinary differential equations and their group classification, arXiv:1403.6062.
  2. Boyko V.M., Reduction of differential equations to algebraic one, Proceedings of Ukrainian Acad. of Sci., Proceedings of Ukrainian Acad. of Sci., 2014, N 3, 7-12 (in Ukrainian).
  3. Boyko V.M. and Popovych R.O., Conditional symmetries of the linear rod equation, Proceedings of Ukrainian Acad. of Sci., 2013, N 9, 7-15 (in Ukrainian).
  4. Boyko V.M. and Popovych R.O., Reduction operators of the linear rod equation, Proceedings of 6th International Workshop "Group Analysis of Differential Equations and Integrable Systems" (June 17-21, 2012, Protaras, Cyprus), University of Cyprus, Nicosia, 2013, 17-29 [pdf].
  5. Boyko V.M., Popovych R.O. and Shapoval N.M., Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients, J. Math. Anal. Appl. 397 (2013), 434-440, arXiv:1203.0387.
  6. Boyko V.M., Kunzinger M. and Popovych R.O., Singular reduction modules of differential equations, arXiv:1201.3223.
  7. Boyko V.M. and Popovych R.O., Potential conservation laws of linear evolution equations with single potential, Proceedings of Ukrainian Acad. of Sci., 2012, N 4, 7-14 (in Ukrainian).
  8. Boyko V.M. and Popovych R.O., Simplest potential conservation laws of linear evolution equations, Proceedings of 5th Workshop "Group Analysis of Differential Equations and Integrable Systems" (June 6-10, 2010, Protaras, Cyprus), University of Cyprus, Nicosia, 2011, 28-39, arXiv:1008.4851.
  9. Boyko V.M. and Shapoval N.M., Extended symmetry analysis of a ''nonconservative Fokker-Plank equation'', Proceedings of 5th Workshop "Group Analysis of Differential Equations and Integrable Systems" (June 6-10, 2010, Protaras, Cyprus), University of Cyprus, Nicosia, 2011, 40-46, arXiv:1008.1405.
  10. Boyko V.M., Patera J. and Popovych R.O., Invariants of Lie algebras via moving frames, in Proceedings of 4th Workshop "Group Analysis of Differential Equations and Integrable Systems" (October 26-30, 2008, Protaras, Cyprus), University of Cyprus, Nicosia, 2009, 36-44, arXiv:0904.4462.
  11. Boyko V.M., Patera J. and Popovych R.O., Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements, Linear Algebra Appl., 2008, V.428, 834-854 (see arXiv:0706.2465).
  12. Boyko V.M., Patera J. and Popovych R.O., Invariants of triangular Lie algebras with one nilindependent diagonal element, J. Phys. A: Math. Theor., 2007, V.40, 9783-9792, arXiv:0705.2394.
  13. Boyko V.M., Patera J. and Popovych R.O., Invariants of triangular Lie algebras, J. Phys. A: Math. Theor., 2007, V.40, 7557-7572, arXiv:0704.0937.
  14. Boyko V.M., Patera J. and Popovych R.O., Invariants of Lie algebras with fixed structure of nilradicals, J. Phys. A: Math. Theor., 2007, V.40, N 1, 113-130, math-ph/0606045.
  15. Boyko V.M., Patera J. and Popovych R.O., Computation of invariants of Lie algebras by means of moving frames, J. Phys. A: Math. Gen., 2006, V.39, N 20, 5749-5762, math-ph/0602046.
  16. Boyko V.M., Symmetry, equivalence and integrable classes of Abel equations, in Symmetry and Integrability of Equations of Mathematical Physics (Dedicated to the 70-th Anniversary of Professor W.I. Fushchych), Collection of Works of Institute of Mathematics, Kyiv, 2006, V.3, N 2, 39-48, nlin.SI/0404020.
  17. Boyko V.M., Nonlocal symmetry and integrable classes of Abel equation, in Proceedings of Fifth International Conference ''Symmetry in Nonlinear Mathematical Physics'' (23-29 June, 2003, Kyiv), Editors A.G. Nikitin, V.M. Boyko, R.O. Popovych and I.A. Yehorchenko, Proceedings of Institute of Mathematics, Kyiv, 2004, V.50, Part 1, 47-51 [pdf].
  18. Popovych R.O., Boyko V.M., Nesterenko M.O. and Lutfullin M.V., Realizations of real low-dimensional Lie algebras, J. Phys. A: Math. Gen., 2003, V.36, N 26, 7337-7360, math-ph/0301029v3.
  19. Popovych R.O., Boyko V.M., Nesterenko M.O. and Lutfullin M.V., Realizations of real low-dimensional Lie algebras, math-ph/0301029v7, 39 pp., (extended and revised version of paper J. Phys. A: Math. Gen., 2003, V.36, N 26, 7337-7360).
  20. Popovych R.O. and Boyko V.M., Differential invariants and application to Riccati-type systems, in Proceedings 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, Proceedings of Institute of Mathematics, Kyiv, 2002, V.43, Part 1, 184-193 [pdf] (see math-ph/0112057).
  21. Nesterenko M.O. and Boyko V.M., Realizations of indecomposable solvable 4-dimensional real Lie algebras, in Proceedings 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, Proceedings of Institute of Mathematics, Kyiv, 2002, V.43, Part 2, 474-477 [pdf].
  22. Popovych R.O. and Boyko V.M., Differential invariants of one-parameter group of local transformations: one independent variable, Nonlinear Oscilattions, 2002, V.5, N 2, 218-223 (in Ukrainian).
  23. Boyko V.M. and Popovych R.O., On differential invariants in the space of two variables, Proceedings of Ukrainian Acad. of Sci., 2001, N 5, 7-10 (in Ukrainian).
  24. Boyko V.M. and Popovych V.O., Group classification Galilei invariant equations of higher order, in Group and Analytic Methods in Mathematical Physics, Proceedings of Institute of Mathematics, Kyiv, 2001, V.36, 45-50 (in Ukrainian) [pdf].
  25. Boyko V.M. and Popovych R.O., Differential invariants of one-parameter Lie groups, in Group and Analytic Methods in Mathematical Physics, Proceedings of Institute of Mathematics, Kyiv, 2001, V.36, 51-62 (in Ukrainian) [pdf].
  26. Popovych R.O. and Boyko V.M., On group classification Galilei invariant equations of second order, in Book of Abstract of Ukrainian Mathematical Congress (22-24 August, 2001, Kyiv), Kyiv, Institute of Mathematics, Section 5 (Math. Phys.), 2001, 25-26 (in Ukrainian).
  27. Boyko V.M., On Galilei invariance of the continuity equation, in Proceedings of the Third International Conference ''Symmetry in Nonlinear Mathematical Physics'', Editors A.G. Nikitin and V.M. Boyko, Proceedings of Institute of Mathematics, Kyiv, 2000, V.30, Part 1, 99-102 [pdf].
  28. Popovych R.O. and Boyko V.M., Differential invariants of one-parameter group of local transformation and integration of Riccati equation, Vestn. Samar. Gos. Univ, 2000, V.18, N 4, 49-56 (in Russian) [ps].
  29. Boyko V.M. and Fushchych W.I., Lowering of order and general solutions of some classes of PDEs, Reports Math. Phys., 1998, V.42, N 3, 311-318 [pdf].
  30. Boyko V.M., Symmetry properties of some equations of hydrodynamic type, in Symmetry and Analytic Methods in Mathematical Physics, Proceedings of Institute of Mathematics, Kyiv, 1998, V.19, 32-42 (in Ukrainian) [pdf].
  31. Boyko V.M. and Tsyfra I.M., Lorentz-invariant continuity equations for the electromagnetic field, in Symmetry and Analytic Methods in Mathematical Physics, Proceedings of Institute of Mathematics, Kyiv, 1998, V.19, 43-47 (in Ukrainian) [pdf].
  32. Fushchych W.I. and Boyko V.M., Continuity equation in nonlinear quantum mechanics and the Galilei relativity principle, J. Nonlinear Math. Phys., 1997, V.4, N 1-2, 124-128 (see math-ph/0208016).
  33. Boyko V.M., On new generalizations of the Burgers and Korteweg-de Vries equations, in Proceedings of the Second International Conference ''Symmetry in Nonlinear Mathematical Physics. Memorial Prof. W. Fushchych Conference'', Editors M.I. Shkil, A.G. Nikitin and V.M. Boyko, Kyiv, Institute of Mathematics, 1997, V.1, 122-129 [pdf].
  34. Fushchych W.I. and Boyko V.M., Lowering the order and general solutions of some classes of equation of mathematical physics, Proceedings of Ukrainian Acad. of Sci., 1996, N 9, 43-48 (in Ukrainian) [pdf].
  35. Fushchych W.I. and Boyko V.M., Galilei-invariant higher-order equations of Burgers and Korteweg-de Vries types, Ukr. Math. J., 1996, V.48, N 12, 1589-1601 (in Ukrainian) [pdf].
  36. Boyko V.M., Galilei-invariant generalization of Burgers and Korteweg-de Vries equations of higher order, in Proceedings of International Conference ''Algebraic and Analitical Methods in the Theory of Differential Equations", Orel, Russia, 1996, 18-21 (in Russian).
  37. Boyko V.M. and Tsyfra I.M., Continuity equation and nonlinear representations for electromagnetic fields, in Proc. 5th International Academician's M. Krawtchouk Conf. (16-18 May 1996, Kyiv, Ukraine), Kyiv, 1996, p.39 (in Ukrainian).
  38. Boyko V.M., Symmetry classification of the one-dimensional second order equation of hydrodynamic type, J. Nonlinear Math. Phys., 1995, V.2, N 3-4, 418-424.
  39. Tsyfra I.M. and Boyko V.M., Conditional symmetry of the continuity equation for electromagnetic field, Proceedings of Ukrainian Acad. of Sci., 1995, N 5, 35-36 (in Ukrainian).
  40. Boyko V.M., Nonlinear equations and nonlinear representations for vector-potential, Proceedings of Ukrainian Acad. of Sci., 1995, N 6, 33-35 (in Ukrainian).
  41. Revenko I.V. and Boyko V.M., Symmetry and some integrable cases of the Abel equation of second kind, Proceedings of Ukrainian Acad. of Sci., 1995, N 7, 16-18 (in Ukrainian).
  42. Fushchych W.I. and Boyko V.M., Symmetry classification of the one-dimensional second order equation of hydrodynamic type, Preprint, Linköping University, Sweden, LiTH-MAT-R-95-19, 1995, 11 p.  [pdf].
  43. Boyko V.M., Symmetry classification of the one-dimensional equation of hydrodynamical type, in Proc. 4th International M. Kravchuk Conf. (11-12 May 1995, Kyiv, Ukraine), Kyiv, 1995, p.46 (in Ukrainian).
  44. Fushchych W.I., Tsyfra I.M. and Boyko V.M., Nonlinear representations for Poincare and Galilei algebras and nonlinear equations for electromagnetic fields, J. Nonlinear Math. Phys., 1994, V.1, N 2, 210-221 (see math-ph/0207024).

Edited Collections of Works
  1. Vaneeva O.O., Sophocleous C., Popovych R.O., Leach P.G.L., Boyko V.M. and Damianou P.A. (Editors), Proceedings of the Sixth International Workshop "Group Analysis of Differential Equations and Integrable Systems" (Protaras, Cyprus, June 17-21, 2012), University of Cyprus, Nicosia, 2013, 248 pp. You can download pdf.
  2. Boyko V.M., Nikitin A.G. and Popovych R.O. (Editors), Symmetry and Integrability of Equations of Mathematical Physics (Dedicated to the 70-th Anniversary of Professor W.I. Fushchych), Collection of Works of Institute of Mathematics, Kyiv, 2006, V.3, N 2, 400 pp. You can download pdf.
  3. Boyko V.M., Gorbachuk M.L., Lukovs'kyi I.O., Nikitin A.G., Popovych R.O., Samoilenko A.M. (Editors), W.I. Fushchych, Selected Works, Kyiv, Naukova Dumka, 2005, 448 pp.
  4. Boyko V.M. (Editor), W.I. Fushchych, Scientific Works, Electronic Collection of W. Fushchych's Research Papers, 2000-2004, Vols.1-6, 3149 pp.:
        2000, Vol. 1, 533 pp., see  http://www.imath.kiev.ua/~fushchych/papers/vol1.html
        2000, Vol. 2, 580 pp., see  http://www.imath.kiev.ua/~fushchych/papers/vol2.html
        2001, Vol. 3, 625 pp., see  http://www.imath.kiev.ua/~fushchych/papers/vol3.html
        2002, Vol. 4, 575 pp., see  http://www.imath.kiev.ua/~fushchych/papers/vol4.html
        2003, Vol. 5, 519 pp., see  http://www.imath.kiev.ua/~fushchych/papers/vol5.html
        2004, Vol. 6, 317 pp., see  http://www.imath.kiev.ua/~fushchych/papers/vol6.html
  5. Nikitin A.G., Boyko V.M., Popovych R.O. and Yehorchenko I.A. (Editors), Proceedings of Fifth International Conference ''Symmetry in Nonlinear Mathematical Physics'' (23-29 June, 2003, Kyiv), Proceedings of Institute of Mathematics, Kyiv, 2004, V.50, Parts 1-3, 1528 pp.
  6. Nikitin A.G., Boyko V.M. and Popovych R.O. (Editors), Proceedings of Fourth International Conference ''Symmetry in Nonlinear Mathematical Physics'' (9-15 July, 2001, Kyiv), Proceedings of Institute of Mathematics, Kyiv, 2002, V.43, Parts 1-2, 784 pp.
  7. Boyko V.M., Lykova O.B., Popovych R.O. and Pustovoitov M.O. (Editors), Outlines of History of Mathematics and Mathematical Sciences (on the Occasion of Ninetieth Birthday of O.M. Bogolyubov), Proceedings of Institute of Mathematics, Kyiv, 2001, V.39, 160 pp.
  8. Boyko V.M., Nikitin A.G. and Popovych R.O. (Editors), Group and Analytic Methods in Mathematical Physics, Proceedings of Institute of Mathematics, Kyiv, 2001, V.36, 324 pp. You can download pdf (1.63 Mb) or pdf-booklet (1.53 Mb).
  9. Nikitin A.G. and Boyko V.M. (Editors), Proceedings of Third International Conference ''Symmetry in Nonlinear Mathematical Physics'' (12-18 July, 1999, Kyiv), Proceedings of Institute of Mathematics, Kyiv, 2000, V.30, Parts 1-2, 552 pp.
  10. Nikitin A.G., Lopatin O.K., Boyko V.M., Zhdanov R.Z., Popovych R.O. and Cherniha R.M. (Editors), Symmetry and Analytic Methods in Mathematical Physics, Proceedings of Institute of Mathematics, Kyiv, 1998, V.19, 280 pp. You can download pdf (1.35 Mb) or pdf-booklet (1.27 Mb).
  11. Shkil M.I., Nikitin A.G. and Boyko V.M. (Editors), Proceedings of Second International Conference ''Symmetry in Nonlinear Mathematical Physics. W. Fushchych Memorial Conference'' (7-13 July, 1997, Kyiv), Kyiv, 1997, Vols. 1-2, 500 pp.