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Sergyeyev, Artur

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 Author ID: sergyeyev.artur Published as: Sergyeyev, A.; Sergyeyev, Artur
 Documents Indexed: 52 Publications since 1999
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Co-Authors

 27 single-authored 7 Błaszak, Maciej 3 Krasil’shchik, Iosif Semënovich 2 Marvan, Michal 2 Morozov, Oleg I. 2 Popovych, Roman O. 2 Sanders, Jan A. 2 Szablikowski, Błażej M. 2 Vladimirov, Vsevolod A. 1 Bihlo, Alexander 1 Burde, Georgy I. 1 Demskoi, Dmitry K. 1 Domański, Ziemowit 1 Maczka, Czeslaw 1 Melecký, Jan 1 Opanasenko, Stanislav 1 Pavlov, Maxim V. 1 Skurativskyi, Sergii 1 Skurativskyi, Sergiy 1 Vitolo, Raffaele F.
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Serials

 6 Physics Letters. A 6 Journal of Physics A: Mathematical and General 3 Reports on Mathematical Physics 3 Journal of Geometry and Physics 3 Acta Applicandae Mathematicae 3 Journal of Physics A: Mathematical and Theoretical 2 Journal of Mathematical Physics 2 Nonlinear Analysis. Real World Applications 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Physica D 1 Applied Mathematics Letters 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Fundamental’naya i Prikladnaya Matematika 1 Nonlinear Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 Annales Henri Poincaré 1 Journal of Nonlinear Mathematical Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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Fields

 44 Dynamical systems and ergodic theory (37-XX) 28 Partial differential equations (35-XX) 9 Global analysis, analysis on manifolds (58-XX) 5 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

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.
2017
New integrable ($$3+1$$)-dimensional systems and contact geometry. Zbl 1384.37087
Sergyeyev, A.
2018
The four-dimensional Martínez Alonso-Shabat equation: reductions and nonlocal symmetries. Zbl 1301.37045
Morozov, Oleg I.; Sergyeyev, Artur
2014
Conservation laws and normal forms of evolution equations. Zbl 1237.35142
Popovych, Roman O.; Sergyeyev, Artur
2010
Why nonlocal recursion operators produce local symmetries: new results and applications. Zbl 1065.37051
Sergyeyev, A.
2005
Recursion operators for dispersionless integrable systems in any dimension. Zbl 1234.35314
Marvan, M.; Sergyeyev, A.
2012
A strange recursion operator demystified. Zbl 1065.37047
Sergyeyev, A.
2005
A simple way of making a Hamiltonian system into a bi-Hamiltonian one. Zbl 1162.37329
Sergyeyev, A.
2004
Recursion operator for the stationary Nizhnik-Veselov-Novikov equation. Zbl 1039.37055
Marvan, Michal; Sergyeyev, A.
2003
Central extensions of cotangent universal hierarchy: (2+1)-dimensional bi-Hamiltonian systems. Zbl 1227.37013
Sergyeyev, Artur; Szablikowski, Błaẓej M.
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
2007
Ordering of two small parameters in the shallow water wave problem. Zbl 1311.76011
Burde, Georgy I.; Sergyeyev, Artur
2013
Generalized Stäckel transform and reciprocal transformations for finite-dimensional integrable systems. Zbl 1134.37024
Sergyeyev, Artur; Błaszak, Maciej
2008
Natural coordinates for a class of Benenti systems. Zbl 1203.37093
Błaszak, Maciej; Sergyeyev, Artur
2007
Maximal superintegrability of Benenti systems. Zbl 1079.37054
Błaszak, Maciej; Sergyeyev, Artur
2005
On recursion operators and nonlocal symmetries of evolution equations. Zbl 1096.37503
Sergyeyev, A.
2000
Constructing conditionally integrable evolution systems in $$(1+1)$$ dimensions: a generalization of invariant modules approach. Zbl 1039.35009
Sergyeyev, A.
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.
2016
Infinite hierarchies of nonlocal symmetries of the Chen-Kontsevich-Schwarz type for the oriented associativity equations. Zbl 1186.37036
Sergyeyev, A.
2009
Generalized Stäckel systems. Zbl 1250.81046
Błaszak, Maciej; Sergyeyev, Artur
2011
Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation. Zbl 1382.35014
Sergyeyev, A.; Vitolo, R.
2016
Exact solvability of superintegrable Benenti systems. Zbl 1144.81410
Sergyeyev, Artur
2007
Weakly nonlocal Hamiltonian structures: Lie derivative and compatibility. Zbl 1138.37043
Sergyeyev, Artur
2007
Integrable $$(3+1)$$-dimensional systems with rational Lax pairs. Zbl 1390.37119
Sergyeyev, A.
2018
Oriented associativity equations and symmetry consistent conjugate curvilinear coordinate nets. Zbl 1304.35565
Pavlov, Maxim V.; Sergyeyev, Artur
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
2009
On the classification of conditionally integrable evolution systems in $$(1+1)$$ dimensions. Zbl 1080.35091
Sergyeyev, A.
2004
A remark on nonlocal symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation. Zbl 1020.35106
Sergyeyev, Artur; Sanders, Jan A.
2003
On time-dependent symmetries and formal symmetries of evolution equations. Zbl 0963.35138
Sergyeyev, Artur
1999
On symmetries of KdV-like evolution equations. Zbl 1038.37511
Sergyeyev, Artur
1999
Integrability of $$S$$-deformable surfaces: conservation laws, Hamiltonian structures and more. Zbl 1319.37041
Krasil’shchik, I. S.; Sergyeyev, A.
2015
Coupling constant metamorphosis as an integrability-preserving transformation for general finite-dimensional dynamical systems and ODEs. Zbl 1266.37025
Sergyeyev, Artur
2012
Symmetries and integrability: Bakirov system revisited. Zbl 0997.37043
Sergyeyev, A.
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.
2019
Dispersionless $$(3+1)$$-dimensional integrable hierarchies. Zbl 1404.37078
Błaszak, Maciej; Sergyeyev, Artur
2017
Integrable quantum Stäckel systems. Zbl 1311.37054
Błaszak, Maciej; Domański, Ziemowit; Sergyeyev, Artur; Szablikowski, Błażej M.
2013
Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov-Burgers system revisited. Zbl 1200.37059
Sergyeyev, Artur
2010
Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion operators: a new application for formal symmetries. Zbl 1162.37328
Sergyeyev, A.
2004
On sufficient conditions of locality for hierarchies of symmetries of evolution systems. Zbl 1127.37304
Sergyeyev, Artur
2002
Time dependence and (non)commutativity of symmetries of evolution equations. Zbl 1248.37060
Sergyeyev, Artur
2001
On a class of inhomogeneous extensions for integrable evolution systems. Zbl 1030.37046
Sergyeyev, Artur
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.
2019
New integrable ($$3+1$$)-dimensional systems and contact geometry. Zbl 1384.37087
Sergyeyev, A.
2018
Integrable $$(3+1)$$-dimensional systems with rational Lax pairs. Zbl 1390.37119
Sergyeyev, A.
2018
A simple construction of recursion operators for multidimensional dispersionless integrable systems. Zbl 1373.37159
Sergyeyev, A.
2017
Dispersionless $$(3+1)$$-dimensional integrable hierarchies. Zbl 1404.37078
Błaszak, Maciej; Sergyeyev, Artur
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.
2016
Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation. Zbl 1382.35014
Sergyeyev, A.; Vitolo, R.
2016
Integrability of $$S$$-deformable surfaces: conservation laws, Hamiltonian structures and more. Zbl 1319.37041
Krasil’shchik, I. S.; Sergyeyev, A.
2015
The four-dimensional Martínez Alonso-Shabat equation: reductions and nonlocal symmetries. Zbl 1301.37045
Morozov, Oleg I.; Sergyeyev, Artur
2014
Oriented associativity equations and symmetry consistent conjugate curvilinear coordinate nets. Zbl 1304.35565
Pavlov, Maxim V.; Sergyeyev, Artur
2014
Ordering of two small parameters in the shallow water wave problem. Zbl 1311.76011
Burde, Georgy I.; Sergyeyev, Artur
2013
Integrable quantum Stäckel systems. Zbl 1311.37054
Błaszak, Maciej; Domański, Ziemowit; Sergyeyev, Artur; Szablikowski, Błażej M.
2013
Recursion operators for dispersionless integrable systems in any dimension. Zbl 1234.35314
Marvan, M.; Sergyeyev, A.
2012
Coupling constant metamorphosis as an integrability-preserving transformation for general finite-dimensional dynamical systems and ODEs. Zbl 1266.37025
Sergyeyev, Artur
2012
Generalized Stäckel systems. Zbl 1250.81046
Błaszak, Maciej; Sergyeyev, Artur
2011
Conservation laws and normal forms of evolution equations. Zbl 1237.35142
Popovych, Roman O.; Sergyeyev, Artur
2010
Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov-Burgers system revisited. Zbl 1200.37059
Sergyeyev, Artur
2010
Infinite hierarchies of nonlocal symmetries of the Chen-Kontsevich-Schwarz type for the oriented associativity equations. Zbl 1186.37036
Sergyeyev, A.
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
2009
Central extensions of cotangent universal hierarchy: (2+1)-dimensional bi-Hamiltonian systems. Zbl 1227.37013
Sergyeyev, Artur; Szablikowski, Błaẓej M.
2008
Generalized Stäckel transform and reciprocal transformations for finite-dimensional integrable systems. Zbl 1134.37024
Sergyeyev, Artur; Błaszak, Maciej
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
2007
Natural coordinates for a class of Benenti systems. Zbl 1203.37093
Błaszak, Maciej; Sergyeyev, Artur
2007
Exact solvability of superintegrable Benenti systems. Zbl 1144.81410
Sergyeyev, Artur
2007
Weakly nonlocal Hamiltonian structures: Lie derivative and compatibility. Zbl 1138.37043
Sergyeyev, Artur
2007
Why nonlocal recursion operators produce local symmetries: new results and applications. Zbl 1065.37051
Sergyeyev, A.
2005
A strange recursion operator demystified. Zbl 1065.37047
Sergyeyev, A.
2005
Maximal superintegrability of Benenti systems. Zbl 1079.37054
Błaszak, Maciej; Sergyeyev, Artur
2005
A simple way of making a Hamiltonian system into a bi-Hamiltonian one. Zbl 1162.37329
Sergyeyev, A.
2004
On the classification of conditionally integrable evolution systems in $$(1+1)$$ dimensions. Zbl 1080.35091
Sergyeyev, A.
2004
Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion operators: a new application for formal symmetries. Zbl 1162.37328
Sergyeyev, A.
2004
Recursion operator for the stationary Nizhnik-Veselov-Novikov equation. Zbl 1039.37055
Marvan, Michal; Sergyeyev, A.
2003
A remark on nonlocal symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation. Zbl 1020.35106
Sergyeyev, Artur; Sanders, Jan A.
2003
Constructing conditionally integrable evolution systems in $$(1+1)$$ dimensions: a generalization of invariant modules approach. Zbl 1039.35009
Sergyeyev, A.
2002
On sufficient conditions of locality for hierarchies of symmetries of evolution systems. Zbl 1127.37304
Sergyeyev, Artur
2002
Symmetries and integrability: Bakirov system revisited. Zbl 0997.37043
Sergyeyev, A.
2001
Time dependence and (non)commutativity of symmetries of evolution equations. Zbl 1248.37060
Sergyeyev, Artur
2001
On a class of inhomogeneous extensions for integrable evolution systems. Zbl 1030.37046
Sergyeyev, Artur
2001
On recursion operators and nonlocal symmetries of evolution equations. Zbl 1096.37503
Sergyeyev, A.
2000
On time-dependent symmetries and formal symmetries of evolution equations. Zbl 0963.35138
Sergyeyev, Artur
1999
On symmetries of KdV-like evolution equations. Zbl 1038.37511
Sergyeyev, Artur
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
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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
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Cited in 28 Fields

 111 Dynamical systems and ergodic theory (37-XX) 101 Partial differential equations (35-XX) 24 Differential geometry (53-XX) 22 Global analysis, analysis on manifolds (58-XX) 22 Mechanics of particles and systems (70-XX) 14 Nonassociative rings and algebras (17-XX) 14 Quantum theory (81-XX) 11 Ordinary differential equations (34-XX) 10 Relativity and gravitational theory (83-XX) 9 Fluid mechanics (76-XX) 5 Difference and functional equations (39-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Numerical analysis (65-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)