Artur Sergyeyev
Artur Sergyeyev
Professor at Mathematical Institute of Silesian University in Opava, Czech Republic
Verified email at - Homepage
Cited by
Cited by
New integrable (3+1)-dimensional systems and contact geometry
A Sergyeyev
Letters in Mathematical Physics 108 (2), 359–376, 2018
A simple construction of recursion operators for multidimensional dispersionless integrable systems
A Sergyeyev
Journal of Mathematical Analysis and Applications 454 (2), 468-480, 2017
Complete set of commuting symmetry operators for the Klein-Gordon equation in generalized higher-dimensional Kerr-NUT-(A) dS spacetimes
A Sergyeyev, P Krtouš
Physical Review D 77 (4), 044033, 2008
Ordering of two small parameters in the shallow water wave problem
G Burde, A Sergyeyev
J. Phys. A: Math. Theor. 46 (7), 075501, 2013
The four-dimensional Martínez Alonso–Shabat equation: reductions and nonlocal symmetries
OI Morozov, A Sergyeyev
Journal of Geometry and Physics 85, 40-45, 2014
Why nonlocal recursion operators produce local symmetries: new results and applications
A Sergyeyev
Journal of Physics A: Mathematical and General 38 (15), 3397, 2005
Generalized Stäckel transform and reciprocal transformations for finite-dimensional integrable systems
A Sergyeyev, M Błaszak
Journal of Physics A: Mathematical and Theoretical 41 (10), 105205, 2008
A simple way of making a Hamiltonian system into a bi-Hamiltonian one
A Sergyeyev
Acta Applicandae Mathematica 83, 183-197, 2004
Recursion operators for dispersionless integrable systems in any dimension
M Marvan, A Sergyeyev
Inverse Problems 28, 025011, 2012
Conservation laws and normal forms of evolution equations
RO Popovych, A Sergyeyev
Physics Letters A 374 (22), 2210-2217, 2010
On recursion operators and nonlocal symmetries of evolution equations
A Sergyeyev
Proceedings of the Seminar on Differential Geometry, 159–173, 2000
Central extensions of cotangent universal hierarchy:(2+ 1)-dimensional bi-Hamiltonian systems
A Sergyeyev, BM Szablikowski
Physics Letters A 372 (47), 7016-7023, 2008
Sasa-Satsuma (complex modified Korteweg–de Vries II) and the complex sine-Gordon II equation revisited: Recursion operators, nonlocal symmetries, and more
A Sergyeyev, D Demskoi
Journal of mathematical physics 48, 042702, 2007
Recursion operator for the stationary Nizhnik–Veselov–Novikov equation
M Marvan, A Sergyeyev
Journal of Physics A: Mathematical and General 36 (5), L87, 2003
A strange recursion operator demystified
A Sergyeyev
Journal of Physics A: Mathematical and General 38 (15), L257, 2005
Constructing conditionally integrable evolution systems in (1+ 1) dimensions: a generalization of invariant modules approach
A Sergyeyev
Journal of Physics A: Mathematical and General 35, 7653, 2002
Natural coordinates for a class of Benenti systems
M Błaszak, A Sergyeyev
Physics Letters A 365 (1-2), 28-33, 2007
Maximal superintegrability of Benenti systems
M Błaszak, A Sergyeyev
Journal of Physics A: Mathematical and General 38 (1), L1-L5, 2005
Integrable (3+1)-dimensional systems with rational Lax pairs
A Sergyeyev
Nonlinear Dynamics 91 (3), 1677-1680, 2018
Infinitely many nonlocal conservation laws for the ABC equation with A+B+C≠0
IS Krasil’shchik, A Sergyeyev, OI Morozov
Calculus of variations and partial differential equations 55 (5), 123, 2016
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