Publications of Artur Sergyeyev
Please note: A.G. Sergheyev = A.G. Sergeyev = A.G. Sergyeyev
A. Refereed Journal Publications
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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)
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M. Marvan, A. Sergyeyev, Recursion
operator for the stationary Nizhnik--Veselov--Novikov equation, J.
Phys. A: Math. Gen.,2003, 36, no.5, L87-L92.
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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.
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A. Sergyeyev, On
sufficient conditions of locality for hierarchies of symmetries of evolution
systems, Rep. Math. Phys., 2002, 50, no.3, 307-314.
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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)
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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)
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A. Sergyeyev, Symmetries
and integrability: Bakirov system revisited, J. Phys. A: Math. Gen.,2001,
34,
no.23, 4983-4990.
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A. Sergyeyev, On
symmetries of KdV-like evolution equations, Rep. Math. Phys.,1999,
44,
no.1/2, 183-190.
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A. Sergheyev, Generalized
symmetries of partial differential equations and quasiexact solvability,
Rep.
Math. Phys., 1998, 41, no.3, 279-286.
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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
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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.
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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.
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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.
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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.
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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.
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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
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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)
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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)
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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).
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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).
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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.
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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.
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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
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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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