Publications of Artur Sergyeyev

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

A. Refereed Journal Publications

  1. A. Sergyeyev, Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion operators: a new application for formal symmetries, pre-accepted for publication in Acta Appl. Math. Preprint version (fulltext in arxiv.org a.k.a. LANL preprint archive)
  2. M. Marvan, A. Sergyeyev, Recursion operator for the stationary Nizhnik--Veselov--Novikov equation, J. Phys. A: Math. Gen.,2003, 36, no.5, L87-L92.
  3. 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.
  4. A. Sergyeyev, On sufficient conditions of locality for hierarchies of symmetries of evolution systems, Rep. Math. Phys., 2002, 50, no.3, 307-314.
  5. 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)
  6. 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)
  7. A. Sergyeyev, Symmetries and integrability: Bakirov system revisited, J. Phys. A: Math. Gen.,2001, 34, no.23, 4983-4990.
  8. A. Sergyeyev, On symmetries of KdV-like evolution equations, Rep. Math. Phys.,1999, 44, no.1/2, 183-190.
  9. A. Sergheyev, Generalized symmetries of partial differential equations and quasiexact solvability, Rep. Math. Phys., 1998, 41, no.3, 279-286.
  10. A.G. Sergheyev, A relativistic Coulomb problem for the modified Stueckelberg equation, Ukr. J. Phys.,1997, 42, no.10, 1171-1174.

B. Articles in Refereed Proceedings

  1. A. Sergyeyev, On a class of inhomogeneous extensions for integrable evolution systems, Proc. 8thInt. Conf. on Diff.Geom. and its Appl., 2001, p.243--252.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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 papers

  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. 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)
  3. 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).
  4. 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).
  5. 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.
  6. 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.
  7. 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).

D. Preprints

  1. A. Sergyeyev, A simple way of making a Hamiltonian system into bi-Hamiltonian one, Preprint GA 4/2002, Preprint Series in Global Analysis,Mathematical Institute, Silesian University in Opava, Czech Republic, Opava, 2002.
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