Vyacheslav Boyko
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
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
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
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)
Publications
-
Boyko V., Patera J. and Popovych R.,
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
(see arXiv:0904.4462).
-
Boyko V., Patera J. and Popovych R.,
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., Patera J. and Popovych R.,
Invariants of triangular Lie algebras with one nilindependent diagonal
element,
J. Phys. A: Math. Theor., 2007, V.40, 9783-9792
(see arXiv:0705.2394).
-
Boyko V., Patera J. and Popovych R.,
Invariants of triangular Lie algebras,
J. Phys. A: Math. Theor., 2007, V.40, 7557-7572
(see arXiv:0704.0937).
-
Boyko V., Patera J. and Popovych R.,
Invariants of Lie algebras with fixed structure of nilradicals,
J. Phys. A: Math. Theor., 2007, V.40, N 1, 113-130
(see
math-ph/0606045).
-
Boyko V., Patera J. and Popovych R., Computation of invariants of Lie algebras
by means of moving frames,
J. Phys. A: Math. Gen., 2006, V.39, N 20, 5749-5762
(see math-ph/0602046).
-
Boyko V., 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 (see
nlin.SI/0404020).
-
Boyko V., 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].
-
Popovych R., Boyko V., Nesterenko M. and Lutfullin
M., Realizations of real low-dimensional Lie algebras, J. Phys. A: Math.
Gen., 2003, V.36, N 26, 7337-7360 (see math-ph/0301029).
-
Popovych R. and Boyko V., 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).
-
Nesterenko M. and Boyko V., 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].
-
Popovych R. and Boyko V., Differential invariants
of one-parameter group of local transformations: one independent variable,
Nonlinear
Oscilattions, 2002, V.5, N 2, 218-223 (in Ukrainian).
-
Boyko V. and Popovych R., On differential invariants
in the space of two variables, Proceedings of Ukrainian Acad. of Sci.,
2001, N 5, 7-10 (in Ukrainian).
-
Boyko V. and Popovych V., 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. and Popovych R., 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].
-
Popovych R. and Boyko V., 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).
-
Boyko V., 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. and Boyko V., 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].
-
Boyko V. and Fushchych W., Lowering of order and general
solutions of some classes of PDEs, Reports Math. Phys., 1998,
V.42, N 3, 311-318 [pdf].
-
Boyko V., 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. and Tsyfra I., 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].
-
Fushchych W. and Boyko V., 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).
-
Boyko V., 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].
-
Fushchych W. and Boyko V., 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. and Boyko V., 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].
-
Boyko V., 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).
-
Boyko V. and Tsyfra I., 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).
-
Boyko V., Symmetry classification of the one-dimensional
second order equation of hydrodynamic type, J. Nonlinear Math. Phys.,
1995, V.2, N 3-4, 418-424.
-
Tsyfra I. and Boyko V., Conditional symmetry of the
continuity equation for electromagnetic field, Proceedings of Ukrainian
Acad. of Sci., 1995, N 5, 35-36 (in Ukrainian).
-
Boyko V., Nonlinear equations and nonlinear representations
for vector-potential, Proceedings of Ukrainian Acad. of Sci., 1995,
N 6, 33-35 (in Ukrainian).
-
Revenko I. and Boyko V., 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. and Boyko V., 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].
-
Boyko V., 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).
-
Fushchych W., Tsyfra I. and Boyko V., 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
-
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
(1.94 Mb).
- 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, 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
-
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.
-
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.
-
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 pdf-booklet
(1.53 Mb).
-
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.
-
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).
-
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.