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Sergyeyev, Artur

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Author ID: sergyeyev.artur Recent zbMATH articles by "Sergyeyev, Artur"
Published as: Sergyeyev, A.; Sergyeyev, Artur
Documents Indexed: 52 Publications since 1999

Publications by Year

Citations contained in zbMATH

41 Publications have been cited 302 times in 169 Documents Cited by Year
A simple construction of recursion operators for multidimensional dispersionless integrable systems. Zbl 1373.37159
Sergyeyev, A.
26
2017
New integrable (\(3+1\))-dimensional systems and contact geometry. Zbl 1384.37087
Sergyeyev, A.
23
2018
The four-dimensional Martínez Alonso-Shabat equation: reductions and nonlocal symmetries. Zbl 1301.37045
Morozov, Oleg I.; Sergyeyev, Artur
20
2014
Conservation laws and normal forms of evolution equations. Zbl 1237.35142
Popovych, Roman O.; Sergyeyev, Artur
19
2010
Why nonlocal recursion operators produce local symmetries: new results and applications. Zbl 1065.37051
Sergyeyev, A.
17
2005
Recursion operators for dispersionless integrable systems in any dimension. Zbl 1234.35314
Marvan, M.; Sergyeyev, A.
13
2012
A strange recursion operator demystified. Zbl 1065.37047
Sergyeyev, A.
13
2005
A simple way of making a Hamiltonian system into a bi-Hamiltonian one. Zbl 1162.37329
Sergyeyev, A.
12
2004
Recursion operator for the stationary Nizhnik-Veselov-Novikov equation. Zbl 1039.37055
Marvan, Michal; Sergyeyev, A.
12
2003
Central extensions of cotangent universal hierarchy: (2+1)-dimensional bi-Hamiltonian systems. Zbl 1227.37013
Sergyeyev, Artur; Szablikowski, Błaẓej M.
11
2008
Sasa-Satsuma (complex modified Korteweg-de Vries II) and the complex sine-Gordon II equation revisited: recursion operators, nonlocal symmetries, and more. Zbl 1137.37328
Sergyeyev, Artur; Demskoi, Dmitry
11
2007
Ordering of two small parameters in the shallow water wave problem. Zbl 1311.76011
Burde, Georgy I.; Sergyeyev, Artur
10
2013
Generalized Stäckel transform and reciprocal transformations for finite-dimensional integrable systems. Zbl 1134.37024
Sergyeyev, Artur; Błaszak, Maciej
10
2008
Natural coordinates for a class of Benenti systems. Zbl 1203.37093
Błaszak, Maciej; Sergyeyev, Artur
10
2007
Maximal superintegrability of Benenti systems. Zbl 1079.37054
Błaszak, Maciej; Sergyeyev, Artur
10
2005
On recursion operators and nonlocal symmetries of evolution equations. Zbl 1096.37503
Sergyeyev, A.
9
2000
Constructing conditionally integrable evolution systems in \((1+1)\) dimensions: a generalization of invariant modules approach. Zbl 1039.35009
Sergyeyev, A.
8
2002
Infinitely many nonlocal conservation laws for the ABC equation with \(A+B+C\neq 0\). Zbl 1352.37178
Krasil’shchik, I. S.; Sergyeyev, A.; Morozov, O. I.
7
2016
Infinite hierarchies of nonlocal symmetries of the Chen-Kontsevich-Schwarz type for the oriented associativity equations. Zbl 1186.37036
Sergyeyev, A.
7
2009
Generalized Stäckel systems. Zbl 1250.81046
Błaszak, Maciej; Sergyeyev, Artur
6
2011
Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation. Zbl 1382.35014
Sergyeyev, A.; Vitolo, R.
5
2016
Exact solvability of superintegrable Benenti systems. Zbl 1144.81410
Sergyeyev, Artur
4
2007
Weakly nonlocal Hamiltonian structures: Lie derivative and compatibility. Zbl 1138.37043
Sergyeyev, Artur
4
2007
Integrable \((3+1)\)-dimensional systems with rational Lax pairs. Zbl 1390.37119
Sergyeyev, A.
3
2018
Oriented associativity equations and symmetry consistent conjugate curvilinear coordinate nets. Zbl 1304.35565
Pavlov, Maxim V.; Sergyeyev, Artur
3
2014
A coordinate-free construction of conservation laws and reciprocal transformations for a class of integrable hydrodynamic-type systems. Zbl 1204.37069
Błaszak, Maciej; Sergyeyev, Artur
3
2009
On the classification of conditionally integrable evolution systems in \((1+1)\) dimensions. Zbl 1080.35091
Sergyeyev, A.
3
2004
A remark on nonlocal symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation. Zbl 1020.35106
Sergyeyev, Artur; Sanders, Jan A.
3
2003
On time-dependent symmetries and formal symmetries of evolution equations. Zbl 0963.35138
Sergyeyev, Artur
3
1999
On symmetries of KdV-like evolution equations. Zbl 1038.37511
Sergyeyev, Artur
3
1999
Integrability of \(S\)-deformable surfaces: conservation laws, Hamiltonian structures and more. Zbl 1319.37041
Krasil’shchik, I. S.; Sergyeyev, A.
2
2015
Coupling constant metamorphosis as an integrability-preserving transformation for general finite-dimensional dynamical systems and ODEs. Zbl 1266.37025
Sergyeyev, Artur
2
2012
Symmetries and integrability: Bakirov system revisited. Zbl 0997.37043
Sergyeyev, A.
2
2001
Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules. Zbl 1414.35200
Sergyeyev, A.; Skurativskyi, S.; Vladimirov, V.
1
2019
Dispersionless \((3+1)\)-dimensional integrable hierarchies. Zbl 1404.37078
Błaszak, Maciej; Sergyeyev, Artur
1
2017
Integrable quantum Stäckel systems. Zbl 1311.37054
Błaszak, Maciej; Domański, Ziemowit; Sergyeyev, Artur; Szablikowski, Błażej M.
1
2013
Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov-Burgers system revisited. Zbl 1200.37059
Sergyeyev, Artur
1
2010
Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion operators: a new application for formal symmetries. Zbl 1162.37328
Sergyeyev, A.
1
2004
On sufficient conditions of locality for hierarchies of symmetries of evolution systems. Zbl 1127.37304
Sergyeyev, Artur
1
2002
Time dependence and (non)commutativity of symmetries of evolution equations. Zbl 1248.37060
Sergyeyev, Artur
1
2001
On a class of inhomogeneous extensions for integrable evolution systems. Zbl 1030.37046
Sergyeyev, Artur
1
2001
Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules. Zbl 1414.35200
Sergyeyev, A.; Skurativskyi, S.; Vladimirov, V.
1
2019
New integrable (\(3+1\))-dimensional systems and contact geometry. Zbl 1384.37087
Sergyeyev, A.
23
2018
Integrable \((3+1)\)-dimensional systems with rational Lax pairs. Zbl 1390.37119
Sergyeyev, A.
3
2018
A simple construction of recursion operators for multidimensional dispersionless integrable systems. Zbl 1373.37159
Sergyeyev, A.
26
2017
Dispersionless \((3+1)\)-dimensional integrable hierarchies. Zbl 1404.37078
Błaszak, Maciej; Sergyeyev, Artur
1
2017
Infinitely many nonlocal conservation laws for the ABC equation with \(A+B+C\neq 0\). Zbl 1352.37178
Krasil’shchik, I. S.; Sergyeyev, A.; Morozov, O. I.
7
2016
Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation. Zbl 1382.35014
Sergyeyev, A.; Vitolo, R.
5
2016
Integrability of \(S\)-deformable surfaces: conservation laws, Hamiltonian structures and more. Zbl 1319.37041
Krasil’shchik, I. S.; Sergyeyev, A.
2
2015
The four-dimensional Martínez Alonso-Shabat equation: reductions and nonlocal symmetries. Zbl 1301.37045
Morozov, Oleg I.; Sergyeyev, Artur
20
2014
Oriented associativity equations and symmetry consistent conjugate curvilinear coordinate nets. Zbl 1304.35565
Pavlov, Maxim V.; Sergyeyev, Artur
3
2014
Ordering of two small parameters in the shallow water wave problem. Zbl 1311.76011
Burde, Georgy I.; Sergyeyev, Artur
10
2013
Integrable quantum Stäckel systems. Zbl 1311.37054
Błaszak, Maciej; Domański, Ziemowit; Sergyeyev, Artur; Szablikowski, Błażej M.
1
2013
Recursion operators for dispersionless integrable systems in any dimension. Zbl 1234.35314
Marvan, M.; Sergyeyev, A.
13
2012
Coupling constant metamorphosis as an integrability-preserving transformation for general finite-dimensional dynamical systems and ODEs. Zbl 1266.37025
Sergyeyev, Artur
2
2012
Generalized Stäckel systems. Zbl 1250.81046
Błaszak, Maciej; Sergyeyev, Artur
6
2011
Conservation laws and normal forms of evolution equations. Zbl 1237.35142
Popovych, Roman O.; Sergyeyev, Artur
19
2010
Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov-Burgers system revisited. Zbl 1200.37059
Sergyeyev, Artur
1
2010
Infinite hierarchies of nonlocal symmetries of the Chen-Kontsevich-Schwarz type for the oriented associativity equations. Zbl 1186.37036
Sergyeyev, A.
7
2009
A coordinate-free construction of conservation laws and reciprocal transformations for a class of integrable hydrodynamic-type systems. Zbl 1204.37069
Błaszak, Maciej; Sergyeyev, Artur
3
2009
Central extensions of cotangent universal hierarchy: (2+1)-dimensional bi-Hamiltonian systems. Zbl 1227.37013
Sergyeyev, Artur; Szablikowski, Błaẓej M.
11
2008
Generalized Stäckel transform and reciprocal transformations for finite-dimensional integrable systems. Zbl 1134.37024
Sergyeyev, Artur; Błaszak, Maciej
10
2008
Sasa-Satsuma (complex modified Korteweg-de Vries II) and the complex sine-Gordon II equation revisited: recursion operators, nonlocal symmetries, and more. Zbl 1137.37328
Sergyeyev, Artur; Demskoi, Dmitry
11
2007
Natural coordinates for a class of Benenti systems. Zbl 1203.37093
Błaszak, Maciej; Sergyeyev, Artur
10
2007
Exact solvability of superintegrable Benenti systems. Zbl 1144.81410
Sergyeyev, Artur
4
2007
Weakly nonlocal Hamiltonian structures: Lie derivative and compatibility. Zbl 1138.37043
Sergyeyev, Artur
4
2007
Why nonlocal recursion operators produce local symmetries: new results and applications. Zbl 1065.37051
Sergyeyev, A.
17
2005
A strange recursion operator demystified. Zbl 1065.37047
Sergyeyev, A.
13
2005
Maximal superintegrability of Benenti systems. Zbl 1079.37054
Błaszak, Maciej; Sergyeyev, Artur
10
2005
A simple way of making a Hamiltonian system into a bi-Hamiltonian one. Zbl 1162.37329
Sergyeyev, A.
12
2004
On the classification of conditionally integrable evolution systems in \((1+1)\) dimensions. Zbl 1080.35091
Sergyeyev, A.
3
2004
Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion operators: a new application for formal symmetries. Zbl 1162.37328
Sergyeyev, A.
1
2004
Recursion operator for the stationary Nizhnik-Veselov-Novikov equation. Zbl 1039.37055
Marvan, Michal; Sergyeyev, A.
12
2003
A remark on nonlocal symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation. Zbl 1020.35106
Sergyeyev, Artur; Sanders, Jan A.
3
2003
Constructing conditionally integrable evolution systems in \((1+1)\) dimensions: a generalization of invariant modules approach. Zbl 1039.35009
Sergyeyev, A.
8
2002
On sufficient conditions of locality for hierarchies of symmetries of evolution systems. Zbl 1127.37304
Sergyeyev, Artur
1
2002
Symmetries and integrability: Bakirov system revisited. Zbl 0997.37043
Sergyeyev, A.
2
2001
Time dependence and (non)commutativity of symmetries of evolution equations. Zbl 1248.37060
Sergyeyev, Artur
1
2001
On a class of inhomogeneous extensions for integrable evolution systems. Zbl 1030.37046
Sergyeyev, Artur
1
2001
On recursion operators and nonlocal symmetries of evolution equations. Zbl 1096.37503
Sergyeyev, A.
9
2000
On time-dependent symmetries and formal symmetries of evolution equations. Zbl 0963.35138
Sergyeyev, Artur
3
1999
On symmetries of KdV-like evolution equations. Zbl 1038.37511
Sergyeyev, Artur
3
1999
all top 5

Cited by 185 Authors

22 Sergyeyev, Artur
14 Błaszak, Maciej
11 Morozov, Oleg I.
10 Prykarpatsky, Anatoliy Karolevych
7 Krasil’shchik, Iosif Semënovich
7 Popovych, Roman O.
6 Marciniak, Krzysztof
6 Prykarpatsky, Yarema Anatoliyovych
6 Vojčák, Petr
5 Blackmore, Denis L.
5 Freire, Igor Leite
5 Marvan, Michal
5 Pavlov, Maxim V.
5 Sheftel, Mikhail B.
5 Yazıcı, Devrim
4 Baran, Hynek
4 Karczewska, Anna
4 Kruglikov, Boris S.
4 Rozmej, Piotr
4 Szablikowski, Błażej M.
4 Wang, Jingping
3 Artemovych, Orest D.
3 Bihlo, Alexander
3 da Silva, Priscila Leal
3 Domański, Ziemowit
3 Geng, Xianguo
3 Hentosh, Oksana E.
3 Vitolo, Raffaele F.
2 Anco, Stephen C.
2 Bogdanov, Leonid Vital’evich
2 Casati, Matteo
2 Demskoi, Dmitry K.
2 Fehér, László M.
2 Gandarias Núñez, Maria Luz
2 Güngör, Faruk
2 Khabibullin, Ismagil Talgatovich
2 He, Jingsong
2 Hentosh, Oksana Ye.
2 Ji, Lina
2 Kara, Abdul Hamid
2 Kuznetsova, Mariya Nikolaevna
2 Lelito, Aleksandra
2 Levi, Decio
2 Lorenzoni, Paolo
2 Maheswari, C. Uma
2 Opanasenko, Stanislav
2 Qu, Changzheng
2 Rodríguez, Miguel Angel
2 Sahadevan, Ramajayam
2 Sampaio, Júlio Cesar Santos
2 Silindir, Burcu
2 Swaters, Gordon E.
2 Thomova, Zora
2 Tracinà, Rita
2 Vacaru, Sergiu Ion
1 Agrotis, Maria A.
1 Arsie, Alessandro
1 Ballesteros, Angel
1 Basarab-Horwath, Peter
1 Bashingwa, Jean Juste Harrisson
1 Benenti, Sergio
1 Boguniewicz, Bartosz
1 Bolsinov, Alexey V.
1 Bravetti, Alessandro
1 Bruzón, Maria Santos
1 Calderbank, David M. J.
1 Cao, Jie
1 Cao, Yulei
1 Caparrós Quintero, Agustín
1 Carpentier, Sylvain
1 Chanu, Claudia Maria
1 Charalambous, Kyriakos
1 Chenaghlou, Alireza
1 Cheng, Jipeng
1 Cheng, Yi
1 Conde, Juan M.
1 Crampin, Mike
1 Damianou, Pantelis Andrea
1 de León Rodríguez, Manuel
1 Degiovanni, Luca
1 Demina, Maria V.
1 Dosser, H. V.
1 Dunajski, Maciej
1 Enciso, Alberto
1 Euler, Marianna
1 Euler, Norbert
1 Fakhar, Kamran
1 Ferapontov, Evgeny Vladimirovich
1 Ferguson, James T.
1 Fokou, M.
1 Gendelman, Oleg V.
1 Guo, Boling
1 Guo, Leilei
1 Gutowski, Jan B.
1 Harrison, B. Kent
1 Hernández Heredero, Rafael
1 Herranz, Francisco José
1 Hlaváč, Adam
1 Huang, Jizheng
1 Huang, Qing
...and 85 more Authors
all top 5

Cited in 51 Serials

25 Journal of Geometry and Physics
18 Journal of Mathematical Physics
11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 Journal of Nonlinear Mathematical Physics
7 Studies in Applied Mathematics
6 Physics Letters. A
6 Communications in Nonlinear Science and Numerical Simulation
5 Journal of Mathematical Analysis and Applications
5 Theoretical and Mathematical Physics
5 Nonlinear Dynamics
4 Acta Applicandae Mathematicae
3 Letters in Mathematical Physics
3 Reports on Mathematical Physics
3 Applied Mathematics Letters
3 Journal of Mathematical Sciences (New York)
3 Nonlinear Analysis. Real World Applications
3 International Journal of Geometric Methods in Modern Physics
3 Journal of Physics A: Mathematical and Theoretical
2 Communications in Mathematical Physics
2 Nonlinearity
2 Ukrainian Mathematical Journal
2 Applied Mathematics and Computation
2 Journal of Differential Equations
2 Physica D
2 Annales Henri Poincaré
2 Advances in Mathematical Physics
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 European Journal of Mathematics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 International Journal of Theoretical Physics
1 Journal of Engineering Mathematics
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. B
1 Wave Motion
1 Chaos, Solitons and Fractals
1 International Journal of Mathematics and Mathematical Sciences
1 Chinese Annals of Mathematics. Series B
1 Annals of Physics
1 Calculus of Variations and Partial Differential Equations
1 Discrete and Continuous Dynamical Systems
1 Abstract and Applied Analysis
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 International Journal of Applied Mathematics and Computer Science
1 Lobachevskii Journal of Mathematics
1 Central European Journal of Mathematics
1 Analysis and Applications (Singapore)
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Pure and Applied Mathematics
1 Symmetry
1 Journal of Applied Analysis and Computation
1 Mathematics

Citations by Year