Position Associate Professor
Address Mathematical Institute
Silesian University in Opava
Na Rybnicku 1
746 01 Opava, Czech Republic
Phone +420 553 684 685
Fax +420 553 684 680
E-mail

Curriculum

Academic Degrees

Professional Experience

Awards and Honors

Research Interests

List of publications

Please note: A.G. Sergheyev = A.G. Sergeyev = A.G. Sergyeyev

A. Refereed Journal Publications

  1. A. Sergyeyev, Infinitely Many Local Higher Symmetries without Recursion Operator or Master Symmetry: Integrability of the Foursov–Burgers System Revisited, Acta Applicandae Mathematicae, 2010, 109, no.1, 273-281 (arXiv version)
  2. A. Sergyeyev, Infinite hierarchies of nonlocal symmetries of the Chen-Kontsevich-Schwarz type for the oriented associativity equations. J. Phys. A: Math. Theor., 2009, 42, no. 40, paper 404017, 15 pp. (arXiv version)
  3. A. Sergyeyev and B. M. Szablikowski, Central extensions of cotangent universal hierarchy: (2+1)-dimensional bi-Hamiltonian systems, Phys. Lett. A, 2008, 372, 7016-7023 (arXiv version).
  4. A. Sergyeyev and P. Krtouš, Complete set of commuting symmetry operators for the Klein-Gordon equation in generalized higher-dimensional Kerr-NUT-(A)dS spacetimes, Phys. Rev. D, 2008, 77, paper 044033 (arXiv version)
  5. A. Sergyeyev  and M. Blaszak, Generalized Stäckel transform and reciprocal transformations for finite-dimensional integrable systems, J. Phys. A: Math. Theor., 2008, 41, paper 10525 (arXiv version)
  6. A. Sergyeyev, Exact solvability of superintegrable Benenti systems, J. Math. Phys., 2007, 48, no.5, paper 052114 Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive)
  7. M. Blaszak, A. Sergyeyev, Natural coordinates for a class of Benenti systems,  Phys. Lett. A, 2007, 365, no.1-2, 28-33 Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive)
  8. A. Sergyeyev, D. Demskoi, Sasa-Satsuma (complex modified Korteweg—de Vries II) and the complex sine-Gordon II equation revisited: Recursion operators, nonlocal symmetries, and more, J. Math. Phys., 2007, 48, no.4, paper 042702 Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive)
  9. A. Sergyeyev, Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility, SIGMA, 2007, 3, paper 062 Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive)
  10. A. Sergyeyev, Zero curvature representation for a new fifth-order integrable system (in Russian, English translation to appear in J. Math. Sci.), Fund. Prikl. Mat., 2006, 12, no.7, 227-229 Preprint version (fulltext in English in arxiv.org a.k.a. LANL preprint archive)
  11. A. Sergyeyev, A strange recursion operator demystified, J. Phys. A: Math. Gen., 2005, 38, no.15, L257-L262 Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive)
  12. A. Sergyeyev, Why nonlocal recursion operators produce local symmetries: new results and applications, J. Phys. A: Math. Gen., 2005, 38, no.15, 3397-3407 Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive)
  13. M. Blaszak, A. Sergyeyev, Maximal superintegrability of Benenti systems, J. Phys. A: Math. Gen., 2005, 38, no.1, L1-L5 Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive)
  14. A. Sergyeyev, Towards classification of conditionally integrable evolution systems in (1+1) dimensions, Fund. Prikl. Mat., 2004, 10,  no. 1, 243-253 (in Russian), Preprint version (fulltext in English in arxiv.org a.k.a. LANL preprint archive)
  15. A. Sergyeyev, A simple way of making a Hamiltonian system into a bi-Hamiltonian one, Acta Appl. Math., 2004, 83, no.1-2, 183-197 Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive)
  16. A. Sergyeyev, Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion operators: a new application for formal symmetries, Acta Appl. Math., 2004, 83, no.1-2, 95-109  Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive)
  17. M. Marvan, A. Sergyeyev, Recursion operator for the stationary Nizhnik--Veselov--Novikov equation, J. Phys. A: Math. Gen., 2003, 36, no.5, L87-L92 Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive)
  18. A. Sergyeyev and J.A. Sanders, A remark on nonlocal symmetries for the Calogero--Degasperis--Ibragimov--Shabat equation, J. Nonlin. Math. Phys., 2003, 10, no. 1, 78-85 ArXiv copy (fulltext in arxiv.org a.k.a. LANL preprint archive)
  19. A. Sergyeyev, On sufficient conditions of locality for hierarchies of symmetries of evolution systems, Rep. Math. Phys., 2002, 50, no.3, 307-314 Preprint version (fulltext in gzipped PostScript format)
  20. A. Sergyeyev, Constructing conditionally integrable evolution systems in (1+1) dimensions: a generalization of invariant modules approach, J. Phys. A: Math. Gen., 2002, 35, 7653-7660 Preprint version (fulltext in gzipped PostScript format)
  21. A. Sergyeyev, On homogeneous symmetries for evolution systems with constraints, Rendiconti del Circolo Matematico di Palermo, 2002, Serie II, No. 69, 219-231. Preprint version (fulltext in gzipped PostScript format)
  22. A. Sergyeyev, Symmetries and integrability: Bakirov system revisited, J. Phys. A: Math. Gen.,2001, 34, no.23, 4983-4990.
  23. A. Sergyeyev, On symmetries of KdV-like evolution equations, Rep. Math. Phys.,1999, 44, no.1/2, 183-190 Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive).
  24. A. Sergheyev, Generalized symmetries of partial differential equations and quasiexact solvability, Rep. Math. Phys., 1998, 41, no.3, 279-286 Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive).
  25. A.G. Sergheyev, A relativistic Coulomb problem for the modified Stueckelberg equation, Ukr. J. Phys., 1997, 42, no.10, 1171-1174 Preprint version

B. Articles in Refereed Proceedings

  1. A. Sergyeyev, The structure of cosymmetries and a simple proof of locality for hierarchies of symmetries of odd order evolution systems, Proc. Fifth Int. Conf. ``Symmetry in Nonlinear Mathematical Physics", published in Proceedings of Institute of Mathematics of NAS of Ukraine, 2004,  50, Part 1, p.238-245.
  2. A. Sergyeyev, On a class of inhomogeneous extensions for integrable evolution systems, Proc. 8th Int. Conf. on Diff.Geom. and its Appl., 2001, p.243-252 Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive)
  3. A. Sergyeyev and J.A. Sanders, The Complete Set of Generalized Symmetries for the Calogero--Degasperis--Ibragimov--Shabat Equation, Proc. 4th Int. Conf. "Symmetry in Nonlinear Mathematical Physics", published in Proceedings of Institute of Mathematics of NAS of Ukraine,2002, 43, Part 1, p.209-214.
  4. A. Sergyeyev, On local time-dependent symmetries of integrable evolution equations, Proc. 3rd Int. Conference "Symmetry in Nonlinear Mathematical Physics" (Kyiv, July 13-18, 1999), published in Proceedings of Institute of Mathematics of NAS of Ukraine, 2000, 30, Part 1, p.196-203.
  5. A. Sergyeyev, Nonlocal symmetries and formal symmetries for evolution equations, Group and Analytic Methods in Mathematical Physics, Proceedings of Institute of Mathematics of NAS of Ukraine, 2001, 35, p.227-236.
  6. A. Sergyeyev, On recursion operators and nonlocal symmetries of evolution equations, Proc. Sem. Diff. Geom., D. Krupka ed., Mathematical Publications, Silesian University in Opava, Opava, Czech Republic, 2000, 2, p.159-173 Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive)
  7. A. Sergyeyev, On time-dependent symmetries and formal symmetries of evolution equations, in Symmetry and Perturbation Theory, A. Degasperis and G. Gaeta eds., Singapore, World Scientific, 1999, p.303-308.
  8. A.G. Sergyeyev, On the class of equations for the massless particles that are invariant under Poincaré parasupergroup, in Proc. 2nd All-Ukrainian Conference of young scientists (Kyiv, 16-18 May 1995), Kyiv, 1995, p.41-46 (in Ukrainian).

C. Other Works

  1. A. Sergyeyev, Time dependence and (non)commutativity of symmetries of evolution equations, in "Noncommutative Structures in Mathematics in Physics" (Proc. NATO ARW), S. Duplij and J. Wess eds., Kluwer, 2001, p.379-390. Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive)
  2. A.G. Sergyeyev, Higher Symmetries and Parasupersymmetries of Evolution Equations, Ph.D. thesis, Kyiv, Institute of Mathematics of NAS of Ukraine, 2000, 130 p. (in Ukrainian).
  3. A.G. Sergyeyev, On the structure of generalized symmetries for nonlinear evolution equations, Visnyk Kyivs'kogo Universytetu (Bulletin of the University of Kiev), Series: Physical and mathematical Sciences, 1999, no.3, p.61-70 (in Ukrainian).
  4. A.G. Sergheyev, On time-dependent symmetries of evolution equations, Symmetry and Analytic Methods in Mathematical Physics, Proceedings of Institute of Mathematics of NAS of Ukraine, 1998, 19, p. 216-220.
  5. A.G. Sergeyev, On parasupersymmetries in a relativistic Coulomb problem for the modified Stueckelberg equation, in Proc. 2nd Int. Conference "Symmetry in Nonlinear Mathematical Physics" (Kyiv, July 7-13, 1997), Kyiv, 1997, 2, p.331-335.
  6. O.F. Kalaida, A.G. Sergyeyev, O.V. Galkin, New variant of matrix algorithms of numerical integration for regular, weakly singular, and singular integrals, Visnyk Kyivs'kogo Universytetu (Bulletin of the University of Kiev), Series: Physical and Mathematical Sciences, 1993, no.3, p.18-22 (in Ukrainian).

Fellowships and Grants

Main Scientific Results

Talks Given at the Following Conferences

Poster presented at

Participation at the Schools for Young Scientists

Short Scientific Visits