Vyacheslav BOYKO
Address:
Department of Mathematical Physics
Institute of Mathematics
National Academy of Sciences of Ukraine
3 Tereshchenkivs'ka Street
01024 Kyiv4
UKRAINE
Phone:
+380 (44) 234 63 22 (office)
Fax:
+380 (44) 235 20 10 (office)
Email: boyko@imath.kiev.ua
URL: https://www.imath.kiev.ua/~boyko/
Date of birth: 25.08.1970 (Khmelnytskyi region,
Ukraine)
Nationality: Ukraine
Academic background:
D.Sc. in Math.: 2018, Institute of Mathematics, Kyiv,
Thesis "Generalized Casimir operators, singular reduction modules and symmetries of differential equations" (Consultant Professor R.O. Popovych)
Associate Professor: 2005, Institute of Mathematics, Kyiv
Ph.D. in Math.: 1995, Institute of Mathematics, Kyiv (Supervisor Professor W.I. Fushchych)
M.Sc. in Math.: 1992, Kyiv State University (Supervisor Professor W.I. Fushchych)
Professional Experience:
1995–till now
Junior Researcher, Researcher, Senior Researcher, Leading Researcher, Head of Department of Mathematical Physics of the Institute of Mathematics, Kyiv
1992–1995
Postgraduate Student, Institute of Mathematics, Kyiv (Supervisor Professor W.I. Fushchych)
February 2022 – till now
Head of Department of Mathematics, Kyiv Academic University
February 2019 – August 2022
Professor, Faculty of Physics and Mathematics, Igor Sikorsky Kyiv Polytechnic Institute
September 2005 – June 2006
Associate Professor, Department of Mathematical Physics, Faculty of Mechanics and Mathematics, Taras Shevchenko Kyiv National University
September 1992 – June 1997
Teacher of Mathematics, School N 263, Kyiv
Marital Status: married, daughter (born 1999) and son (born 2001)
Area of Expertise
Symmetry analysis of differential equations and applications, group theory, Lie algebras
Аспірантура у відділі математичної фізики Інституту математики НАН України
D.Sc. Candidates
Maryna Nesterenko,
thesis: Realizations and contractions of Lie algebras, orbitfunctions and quasicrystals (2021),
Institute of Mathematics, NAS of Ukraine, Kyiv
PhD Students
Olexandra V. Lokazyuk (jointly with Professor R.O. Popovych),
thesis: Realizations of Lie algebras on line and group classification of differential equations (2023),
Institute of Mathematics, NAS of Ukraine, Kyiv
Vladyslav I. Zinenko, 2017–2021
Master Students
Kateryna V. Kravchuk (jointly with Professor M.M. Astaf'yeva), Borys Grinchenko Kyiv University, 2018–2021.
Olexandra V. Lokazyuk (jointly with Professor V.H. Samoilenko), Group classification of nonlinear heat equations, Borys Grinchenko Kyiv University, 2017–2018.
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
Applicable Analysis and Discrete Mathematics
Applied Mathematics and Computation
Journal of Mathematical Analysis and Applications
Journal of Mathematical Physics
Journal of Physics A: Mathematical and Theoretical
Nonlinear Dynamics
Nonlinear Oscillations
Reports on Mathematical Physics
Ukrainian Mathematical Journal
Reviewer
Mathematical
Review
Mathematical Zenterblatt
Participation at the International Conferences and
Schools
9th Workshop Group Analysis of Differential Equations and Integrable Systems (June 1014 2018, Larnaca, Cyprus)
8th Workshop Group Analysis of Differential Equations and Integrable Systems (June 1217 2016, Larnaca, Cyprus)
7th Workshop Group Analysis of Differential Equations and Integrable Systems (June 1519, 2014, Larnaca, Cyprus)
6th Workshop Group Analysis of Differential Equations and Integrable Systems (June 1721, 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)
2nd
Winter school on Theoretical Physics (January 30 – February 7, 2004,
Dubna, Russia)
Algebraic and analytical methods in the theory of differential
equations (November 1419, 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
Coeditor of a number of volumes of Collection of Works of Institute of Mathematics and Proceedings of Institute of Mathematics
CopyEditor of Journal
of Nonlinear Mathematical Physics (1995–2003)
CopyEditor of Proceedings of NAS of Ukraine (Dopovidi
NAN Ukrainy) (1996–1997)
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 (20022006)
Organization of the I–VIII International Conferences ''Symmetry
in Nonlinear Mathematical Physics'' (Kyiv, Ukraine, 1995, 1997, 1999,
2001, 2003, 2005, 2007, 2009)
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
External Referee of Master Thesis
Lada AtamanchukAnhel, Memorial University, Canada, 2019
Scholar Google Reseach Profile Researcher ID
Publications

Boyko V.M., Popovych R.O. and Vinnichenko O.O., Point and contactsymmetry pseudogroups of dispersionless Nizhnik equation, arXiv:2211.09759.

Boyko V.M., Lokaziuk O.V. and Popovych R.O., Admissible transformations and Lie symmetries of linear systems of secondorder ordinary differential equations, arXiv:2105.05139.

Boyko V.M., Lokaziuk O.V. and Popovych R.O.,
Realizations of Lie algebras on the line and the new group classification of (1+1)dimensional generalized nonlinear Klein–Gordon equations,
Anal. Math. Phys. 11 (2021), 127, 38 pp., arXiv:2008.05460.

Boyko V.M., Kunzinger M. and Popovych R.O., Parameterdependent linear ordinary differential equations and topology of domains,
J. Differential Equations 284 (2021), 546–575,
arXiv:1901.02059.

Opanasenko S., Boyko V. and Popovych R.O., Enhanced group classification of nonlinear diffusionreaction equations with gradientdependent diffusion,
J. Math. Anal. Appl. 484 (2020), 123739, 30 pp.,
arXiv:1804.08776.

Boyko V.M. and Lokazyuk O.V.,
(1+1)dimensional nonlinear evolution equations of the second order with maximal Lie symmetries,
in Symmetry and Integrability of Equations of Mathematical Physics, Collection of Works of Institute
of Mathematics, Kyiv 16 (2019), no. 1, 16–21 (in Ukrainian) [pdf].

Vaneeva O., Boyko V., Zhalij A. and Sophocleous C., Classification of reduction operators and exact solutions of variable coefficient NewellWhiteheadSegel equations,
J. Math. Anal. Appl. 474 (2019), 264–275,
arXiv:1809.05022.

Boyko V.M., Kunzinger M. and Popovych R.O., Singular reduction modules of differential equations,
J. Math. Phys. 57 (2016), 101503, 34 pp.,
arXiv:1201.3223.

Boyko V.M., Popovych R.O. and Shapoval N.M., Equivalence groupoids of classes of linear ordinary differential equations and their group classification,
J. Phys. Conf. Ser. 621 (2015), 012001, 17 pp., for extended and revised version see
arXiv:1403.6062.

Boyko V.M., Reduction of differential equations to algebraic one, Proceedings of Ukrainian Acad. of Sci.,
(2014), no. 3, 7–12 (in Ukrainian).

Boyko V.M. and Popovych R.O., Conditional symmetries of the linear rod equation, Proceedings of Ukrainian Acad. of Sci.,
(2013), no. 9, 7–15 (in Ukrainian).

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].

Boyko V.M., Popovych R.O. and Shapoval N.M., Lie symmetries of systems of secondorder linear ordinary differential equations with constant coefficients,
J. Math. Anal. Appl. 397 (2013), 434–440,
arXiv:1203.0387.

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).

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.

Boyko V.M. and Shapoval N.M.,
Extended symmetry analysis of a ''nonconservative FokkerPlank 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.

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 2630, 2008, Protaras, Cyprus),
University of Cyprus, Nicosia, 2009, 36–44,
arXiv:0904.4462.

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).

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.

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.

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,
mathph/0606045.

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, for extended and revised version see
mathph/0602046.

Boyko V.M., Symmetry, equivalence and integrable classes
of Abel equations,
in Symmetry and
Integrability of Equations of Mathematical Physics
(Dedicated to the 70th Anniversary of Professor W.I. Fushchych), Collection of Works of Institute
of Mathematics, Kyiv, 2006, V.3, N 2, 39–48,
nlin.SI/0404020.

Boyko V.M., Nonlocal symmetry and integrable classes
of Abel equation, in Proceedings of Fifth International Conference ''Symmetry
in Nonlinear Mathematical Physics'' (June 23–29, 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].

Popovych R.O., Boyko V.M., Nesterenko M.O. and Lutfullin
M.V., Realizations of real lowdimensional Lie algebras, J. Phys. A: Math.
Gen., 2003, V.36, N 26, 7337–7360, for extended and revised version see mathph/0301029v7.

Popovych R.O., Boyko V.M., Nesterenko M.O. and Lutfullin
M.V., Realizations of real lowdimensional Lie algebras, mathph/0301029v7, 39 pp.
(essentially extended and revised version of paper J. Phys. A: Math.
Gen., 2003, V.36, N 26, 7337–7360).

Popovych R.O. and Boyko V.M., Differential invariants
and application to Riccatitype systems, in Proceedings of Fourth International
Conference ''Symmetry in Nonlinear Mathematical Physics'' (July 9–15, 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 mathph/0112057).

Nesterenko M.O. and Boyko V.M., Realizations of indecomposable
solvable 4dimensional real Lie algebras, in Proceedings of Fourth International
Conference ''Symmetry in Nonlinear Mathematical Physics'' (July 9–15, 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].

Popovych R.O. and Boyko V.M., Differential invariants of oneparameter group of local transformations: one independent variable,
Nonlinear
Oscilattions, 2002, V.5, N 2, 218–223 (in Ukrainian).

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).

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].

Boyko V.M. and Popovych R.O., Differential invariants
of oneparameter Lie groups, in Group and Analytic Methods in
Mathematical Physics, Proceedings of Institute of Mathematics, Kyiv, 2001, V.36,
51–62 (in Ukrainian) [pdf].

Popovych R.O. and Boyko V.M., On group classification
Galilei invariant equations of second order, in Book of Abstract of Ukrainian
Mathematical Congress (August 22–24, 2001, Kyiv), Kyiv, Institute of Mathematics,
Section 5 (Math. Phys.), 2001, 25–26 (in Ukrainian).

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].

Popovych R.O. and Boyko V.M., Differential invariants
of oneparameter group of local transformation and integration of Riccati
equation, Vestn. Samar. Gos. Univ, 2000,
V.18, N 4, 49–56 (in Russian) [ps].

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].

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].

Boyko V.M. and Tsyfra I.M., Lorentzinvariant 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].

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 12, 124–128
(see mathph/0208016).

Boyko V.M., On new generalizations of the Burgers and
Kortewegde 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].

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].

Fushchych W.I. and Boyko V.M., Galileiinvariant higherorder
equations of Burgers and Kortewegde Vries types, Ukr. Math. J.,
1996, V.48, N 12, 1589–1601 (in Ukrainian) [pdf].

Boyko V.M., Galileiinvariant generalization of Burgers
and Kortewegde 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).

Boyko V.M. and Tsyfra I.M., Continuity equation
and nonlinear representations for electromagnetic fields, in Proc. 5th
International Academician's M. Krawtchouk Conf. (May 16–18, 1996, Kyiv,
Ukraine), Kyiv, 1996, p.39 (in Ukrainian).

Boyko V.M., Symmetry classification of the onedimensional
second order equation of hydrodynamic type, J. Nonlinear Math. Phys.,
1995, V.2, N 34, 418–424.

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).

Boyko V.M., Nonlinear equations and nonlinear representations
for vectorpotential, Proceedings of Ukrainian Acad. of Sci., 1995,
N 6, 33–35 (in Ukrainian).

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).

Fushchych W.I. and Boyko V.M., Symmetry classification
of the onedimensional second order equation of hydrodynamic type, Preprint,
Linköping University, Sweden, LiTHMATR9519, 1995, 11 p.
[pdf].

Boyko V.M., Symmetry classification of the onedimensional
equation of hydrodynamical type, in Proc. 4th International M. Kravchuk
Conf. (May 11–12, 1995, Kyiv, Ukraine), Kyiv, 1995, p.46 (in Ukrainian).

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 mathph/0207024).
Edited Collections of Works

Boyko V.M., Vaneeva O.O., Nesterenko M.O., Nikitin A.G. and Popovych R.O. (Editors), Symmetry and
Integrability of Equations of Mathematical Physics, Collection of Works of Institute
of Mathematics, Kyiv, 2019, V.16, N 1, 204 pp.
You can download pdf.

Vaneeva O.O., Sophocleous C., Popovych R.O., Boyko V.M. and Damianou P.A. (Editors), Seventh International Workshop: Group Analysis of Differential Equations and Integrable Systems (GADEIS VII) (Larnaca, Cyprus, June 1519, 2014), J. Phys. Conf. Ser., 2015, V.621.

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 1721, 2012), University of Cyprus, Nicosia, 2013, 248 pp.
You can download pdf.

Boyko V.M., Nikitin A.G. and Popovych R.O. (Editors), Symmetry and
Integrability of Equations of Mathematical Physics
(Dedicated to the 70th 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.
 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.

Boyko V.M. (Editor), W.I. Fushchych, Scientific Works,
Electronic Collection of W. Fushchych's Research Papers, 20002004, Vols.16, 3149
pp.:
2000, Vol. 1, 533 pp., see https://www.imath.kiev.ua/~fushchych/papers/vol1.html
2000, Vol. 2, 580 pp., see https://www.imath.kiev.ua/~fushchych/papers/vol2.html
2001, Vol. 3, 625 pp., see https://www.imath.kiev.ua/~fushchych/papers/vol3.html
2002, Vol. 4, 575 pp., see https://www.imath.kiev.ua/~fushchych/papers/vol4.html
2003, Vol. 5, 519 pp., see https://www.imath.kiev.ua/~fushchych/papers/vol5.html
2004, Vol. 6, 317 pp., see https://www.imath.kiev.ua/~fushchych/papers/vol6.html

Nikitin A.G., Boyko V.M., Popovych R.O. and Yehorchenko
I.A. (Editors), Proceedings
of Fifth International Conference ''Symmetry in Nonlinear Mathematical
Physics'' (2329 June, 2003, Kyiv), Proceedings of Institute of
Mathematics, Kyiv, 2004, V.50, Parts 13, 1528 pp.

Nikitin A.G., Boyko V.M. and Popovych R.O. (Editors),
Proceedings
of Fourth International Conference ''Symmetry in Nonlinear Mathematical
Physics'' (915 July, 2001, Kyiv), Proceedings of Institute of Mathematics,
Kyiv, 2002, V.43, Parts 12, 784 pp.

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.

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 pdfbooklet
(1.53 Mb).

Nikitin A.G. and Boyko V.M. (Editors), Proceedings
of Third International Conference ''Symmetry in Nonlinear Mathematical
Physics'' (1218 July, 1999, Kyiv), Proceedings of Institute of
Mathematics, Kyiv, 2000, V.30, Parts 12, 552 pp.

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 pdfbooklet
(1.27 Mb).

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'' (713 July, 1997, Kyiv),
Kyiv, 1997, Vols. 12, 500 pp.