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## Morozov, Oleg I.

Compute Distance To:
 Author ID: morozov.oleg-i Published as: Morozov, O. I.; Morozov, Oleg; Morozov, Oleg I.
 Documents Indexed: 46 Publications since 1986
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#### Co-Authors

 25 single-authored 9 Krasil’shchik, Iosif Semënovich 8 Vojčák, Petr 5 Baran, Hynek 4 Lelito, Aleksandra 3 Kruglikov, Boris S. 2 Holba, P. 2 Sergeev, Igor N. 2 Sergyeyev, Artur 1 Pavlov, Maxim V. 1 Soh, Celestin Wafo
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#### Serials

 9 Journal of Geometry and Physics 6 Journal of Nonlinear Mathematical Physics 4 Differential Equations 3 Theoretical and Mathematical Physics 3 Acta Applicandae Mathematicae 2 Moscow University Mathematics Bulletin 2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 Lobachevskii Journal of Mathematics 2 Central European Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Reports on Mathematical Physics 1 Journal of Physics A: Mathematical and General 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Differential Equations 1 Journal of Physics A: Mathematical and Theoretical 1 Global and Stochastic Analysis
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#### Fields

 32 Partial differential equations (35-XX) 24 Dynamical systems and ergodic theory (37-XX) 17 Global analysis, analysis on manifolds (58-XX) 9 Ordinary differential equations (34-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH

35 Publications have been cited 169 times in 72 Documents Cited by Year
The four-dimensional Martínez Alonso-Shabat equation: reductions and nonlocal symmetries. Zbl 1301.37045
Morozov, Oleg I.; Sergyeyev, Artur
2014
Contact integrable extensions of symmetry pseudo-groups and coverings of $$(2+1)$$ dispersionless integrable equations. Zbl 1186.58023
Morozov, Oleg I.
2009
Contact-equivalence problem for linear hyperbolic equations. Zbl 1112.35011
Morozov, O. I.
2006
Moving coframes and symmetries of differential equations. Zbl 1040.35003
Morozov, Oleg
2002
Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations. Zbl 1378.17046
Kruglikov, Boris; Morozov, Oleg
2015
The four-dimensional Martínez Alonso-Shabat equation: differential coverings and recursion operators. Zbl 1301.37044
Morozov, Oleg I.
2014
A recursion operator for the universal hierarchy equation via Cartan’s method of equivalence. Zbl 1404.58030
Morozov, Oleg I.
2014
Coverings over Lax integrable equations and their nonlocal symmetries. Zbl 1351.35022
Baran, H.; Krasil’shchik, I. S.; Morozov, O. I.; Vojčák, P.
2016
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
Structure of symmetry groups via Cartan’s method: survey of four approaches. Zbl 1092.58017
Morozov, Oleg I.
2005
Cartan’s structure theory of symmetry pseudo-groups, coverings and multi-valued solutions for the Khokhlov-Zabolotskaya equation. Zbl 1145.58007
Morozov, Oleg I.
2008
Coverings of differential equations and Cartan’s structure theory of Lie pseudo-groups. Zbl 1143.58008
Morozov, Oleg I.
2007
Nonlocal symmetries of integrable linearly degenerate equations: a comparative study. Zbl 1403.35019
Baran, H.; Krasilshchik, I. S.; Morozov, O. I.; Vojčák, P.
2018
SDiff(2) and uniqueness of the Plebański equation. Zbl 1330.37043
Kruglikov, Boris; Morozov, Oleg
2012
Five-dimensional Lax-integrable equation, its reductions and recursion operator. Zbl 1332.35081
Baran, H.; Krasil’shchik, I. S.; Morozov, O. I.; Vojčák, P.
2015
A two-component generalization of the integrable rdDym equation. Zbl 1270.35015
Morozov, Oleg I.
2012
Three-component nonlocal conservation laws for Lax-integrable 3D partial differential equations. Zbl 1407.35011
Lelito, Aleksandra; Morozov, Oleg I.
2018
Deformed cohomologies of symmetry pseudo-groups and coverings of differential equations. Zbl 1359.58014
Morozov, Oleg I.
2017
Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems. Zbl 1420.35020
Baran, H.; Krasil’Shchik, I. S.; Morozov, O. I.; Vojčák, P.
2014
Cartan’s structure of symmetry pseudo-group and coverings for the $$r$$-th modified dispersionless Kadomtsev-Petviashvili equation. Zbl 1194.58017
Morozov, Oleg I.
2010
Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations. Zbl 1387.58023
Morozov, Oleg I.
2018
Bäcklund transformations between four Lax-integrable 3D equations. Zbl 1420.37105
Morozov, Oleg I.; Pavlov, Maxim V.
2017
A Bäcklund transformation between the four-dimensional Martínez Alonso-Shabat and Ferapontov-Khusnutdinova equations. Zbl 1353.37132
Kruglikov, B. S.; Morozov, O. I.
2016
Integrability properties of some equations obtained by symmetry reductions. Zbl 1420.35021
Baran, H.; Krasil’shchik, I. S.; Morozov, O. I.; Vojčák, P.
2015
The equivalence problem for the Euler-Bernoulli beam equation via Cartan’s method. Zbl 1136.74025
Morozov, O. I.; Soh, C. Wafo
2008
Destabilizability of linear Hamiltonian systems. Zbl 0609.34055
Morozov, O. I.; Sergeev, I. N.
1986
Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation. Zbl 1426.35014
Krasil’shchik, I. S.; Morozov, O. I.; Vojčák, P.
2019
Reductions of the universal hierarchy and rdDym equations and their symmetry properties. Zbl 1397.37068
Holba, P.; Krasil’shchik, I. S.; Morozov, O. I.; Vojčák, P.
2018
2D reductions of the equation $$u_{yy} = u_{tx} + u_y u_{xx} - u_x u_{xy}$$ and their nonlocal symmetries. Zbl 1420.35024
Holba, P.; Krasil’Shchik, I. S.; Morozov, O. I.; Vojčák, P.
2017
Contact integrable extensions and differential coverings for the generalized $$(2 + 1)$$-dimensional dispersionless Dym equation. Zbl 1339.37059
Morozov, Oleg I.
2012
Contact integrable extensions and zero-curvature representations for the second heavenly equation. Zbl 1296.58008
Morozov, Oleg I.
2011
Symmetries of differential equations and Cartan’s equivalence method. Zbl 1094.35011
Morozov, O. I.
2004
The equivalence problem for the class of generalized Abel equations. Zbl 1063.34037
Morozov, O. I.
2003
A criterion for upper semistability of the highest Lyapunov exponent of a nonhomogeneous linear system. Zbl 0802.34057
Morozov, O. I.
1992
Destabilization of linear Hamiltonian systems. Zbl 0653.34042
Morozov, O. I.; Sergeev, I. N.
1986
Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation. Zbl 1426.35014
Krasil’shchik, I. S.; Morozov, O. I.; Vojčák, P.
2019
Nonlocal symmetries of integrable linearly degenerate equations: a comparative study. Zbl 1403.35019
Baran, H.; Krasilshchik, I. S.; Morozov, O. I.; Vojčák, P.
2018
Three-component nonlocal conservation laws for Lax-integrable 3D partial differential equations. Zbl 1407.35011
Lelito, Aleksandra; Morozov, Oleg I.
2018
Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations. Zbl 1387.58023
Morozov, Oleg I.
2018
Reductions of the universal hierarchy and rdDym equations and their symmetry properties. Zbl 1397.37068
Holba, P.; Krasil’shchik, I. S.; Morozov, O. I.; Vojčák, P.
2018
Deformed cohomologies of symmetry pseudo-groups and coverings of differential equations. Zbl 1359.58014
Morozov, Oleg I.
2017
Bäcklund transformations between four Lax-integrable 3D equations. Zbl 1420.37105
Morozov, Oleg I.; Pavlov, Maxim V.
2017
2D reductions of the equation $$u_{yy} = u_{tx} + u_y u_{xx} - u_x u_{xy}$$ and their nonlocal symmetries. Zbl 1420.35024
Holba, P.; Krasil’Shchik, I. S.; Morozov, O. I.; Vojčák, P.
2017
Coverings over Lax integrable equations and their nonlocal symmetries. Zbl 1351.35022
Baran, H.; Krasil’shchik, I. S.; Morozov, O. I.; Vojčák, P.
2016
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
A Bäcklund transformation between the four-dimensional Martínez Alonso-Shabat and Ferapontov-Khusnutdinova equations. Zbl 1353.37132
Kruglikov, B. S.; Morozov, O. I.
2016
Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations. Zbl 1378.17046
Kruglikov, Boris; Morozov, Oleg
2015
Five-dimensional Lax-integrable equation, its reductions and recursion operator. Zbl 1332.35081
Baran, H.; Krasil’shchik, I. S.; Morozov, O. I.; Vojčák, P.
2015
Integrability properties of some equations obtained by symmetry reductions. Zbl 1420.35021
Baran, H.; Krasil’shchik, I. S.; Morozov, O. I.; Vojčák, P.
2015
The four-dimensional Martínez Alonso-Shabat equation: reductions and nonlocal symmetries. Zbl 1301.37045
Morozov, Oleg I.; Sergyeyev, Artur
2014
The four-dimensional Martínez Alonso-Shabat equation: differential coverings and recursion operators. Zbl 1301.37044
Morozov, Oleg I.
2014
A recursion operator for the universal hierarchy equation via Cartan’s method of equivalence. Zbl 1404.58030
Morozov, Oleg I.
2014
Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems. Zbl 1420.35020
Baran, H.; Krasil’Shchik, I. S.; Morozov, O. I.; Vojčák, P.
2014
SDiff(2) and uniqueness of the Plebański equation. Zbl 1330.37043
Kruglikov, Boris; Morozov, Oleg
2012
A two-component generalization of the integrable rdDym equation. Zbl 1270.35015
Morozov, Oleg I.
2012
Contact integrable extensions and differential coverings for the generalized $$(2 + 1)$$-dimensional dispersionless Dym equation. Zbl 1339.37059
Morozov, Oleg I.
2012
Contact integrable extensions and zero-curvature representations for the second heavenly equation. Zbl 1296.58008
Morozov, Oleg I.
2011
Cartan’s structure of symmetry pseudo-group and coverings for the $$r$$-th modified dispersionless Kadomtsev-Petviashvili equation. Zbl 1194.58017
Morozov, Oleg I.
2010
Contact integrable extensions of symmetry pseudo-groups and coverings of $$(2+1)$$ dispersionless integrable equations. Zbl 1186.58023
Morozov, Oleg I.
2009
Cartan’s structure theory of symmetry pseudo-groups, coverings and multi-valued solutions for the Khokhlov-Zabolotskaya equation. Zbl 1145.58007
Morozov, Oleg I.
2008
The equivalence problem for the Euler-Bernoulli beam equation via Cartan’s method. Zbl 1136.74025
Morozov, O. I.; Soh, C. Wafo
2008
Coverings of differential equations and Cartan’s structure theory of Lie pseudo-groups. Zbl 1143.58008
Morozov, Oleg I.
2007
Contact-equivalence problem for linear hyperbolic equations. Zbl 1112.35011
Morozov, O. I.
2006
Structure of symmetry groups via Cartan’s method: survey of four approaches. Zbl 1092.58017
Morozov, Oleg I.
2005
Symmetries of differential equations and Cartan’s equivalence method. Zbl 1094.35011
Morozov, O. I.
2004
The equivalence problem for the class of generalized Abel equations. Zbl 1063.34037
Morozov, O. I.
2003
Moving coframes and symmetries of differential equations. Zbl 1040.35003
Morozov, Oleg
2002
A criterion for upper semistability of the highest Lyapunov exponent of a nonhomogeneous linear system. Zbl 0802.34057
Morozov, O. I.
1992
Destabilizability of linear Hamiltonian systems. Zbl 0609.34055
Morozov, O. I.; Sergeev, I. N.
1986
Destabilization of linear Hamiltonian systems. Zbl 0653.34042
Morozov, O. I.; Sergeev, I. N.
1986
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#### Cited by 69 Authors

 26 Morozov, Oleg I. 10 Krasil’shchik, Iosif Semënovich 7 Sergyeyev, Artur 6 Prykarpatsky, Yarema Anatoliyovych 6 Vojčák, Petr 5 Baran, Hynek 4 Kruglikov, Boris S. 4 Olver, Peter John 4 Prykarpatsky, Anatoliy Karolevych 3 Hentosh, Oksana E. 3 Lelito, Aleksandra 3 Ndogmo, Jean-Claude 2 Blackmore, Denis L. 2 Khabibullin, Ismagil Talgatovich 2 Hentosh, Oksana Ye. 2 Kuznetsova, Mariya Nikolaevna 2 Marvan, Michal 2 Pavlov, Maxim V. 2 Pohjanpelto, Juha 1 Bayrakdar, Tuna 1 Benoudina, Nardjess 1 Blaschke, Petr 1 Błaszak, Maciej 1 Bogdanov, Leonid Vital’evich 1 Cariñena, José F. 1 Cieśliński, Jan L. 1 de Lucas, Javier 1 Ergin, Abdullah Aziz 1 Gil’, Michael Iosif 1 Guo, Leilei 1 Hassan, Mahmood-Ul 1 Herzog, Gerd 1 Holba, P. 1 Huang, Jizheng 1 Huang, Qing 1 Khalique, Chaudry Masood 1 Kobus, Artur 1 Kryński, Wojciech 1 Kumar, Amit 1 Kumar, Sachin 1 Mahomed, Fazal Mahmood 1 Manno, Gianni 1 Mei, Jianqin 1 Naz, Rahila 1 Oliveri, Francesco 1 Opanasenko, Stanislav 1 Panasyuk, Andriy 1 Popovych, Roman O. 1 Poptsova, Mariya Nikolaevna 1 Prytula, Mykola Mykolaĭovych 1 Rañada, Manuel F. 1 Redkina, Tatyana V. 1 Saccomandi, Giuseppe 1 Salova, T. V. 1 Samoĭlenko, Anatoliĭ Mykhaĭlovych 1 Sergeev, Igor N. 1 Surneva, Olesya B. 1 Valiquette, Francis 1 Vašíček, Jakub 1 Vitolo, Raffaele F. 1 Wajahat A. Riaz, H. 1 Wang, Haiyan 1 Xu, Xiaoping 1 Yanovskaya, Olga S. 1 Zakinyan, Arthur R. 1 Zakinyan, Robert G. 1 Zhang, Yi 1 Zhang, Zhiyong 1 Zhdanov, Renat Z.
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#### Cited in 38 Serials

 15 Journal of Geometry and Physics 5 Acta Applicandae Mathematicae 4 Theoretical and Mathematical Physics 3 Journal of Nonlinear Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Letters in Mathematical Physics 2 Ukrainian Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Mathematical Problems in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 Lobachevskii Journal of Mathematics 2 Central European Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Ufimskiĭ Matematicheskiĭ Zhurnal 1 International Journal of Theoretical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Arkiv för Matematik 1 Advances in Mathematics 1 Journal of Soviet Mathematics 1 Results in Mathematics 1 Journal of Symbolic Computation 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Nonlinear Dynamics 1 Annales Henri Poincaré 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Axioms 1 Mathematics 1 European Journal of Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 15 Fields

 44 Dynamical systems and ergodic theory (37-XX) 40 Partial differential equations (35-XX) 21 Global analysis, analysis on manifolds (58-XX) 10 Differential geometry (53-XX) 9 Nonassociative rings and algebras (17-XX) 8 Ordinary differential equations (34-XX) 6 Mechanics of particles and systems (70-XX) 3 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of deformable solids (74-XX) 1 Algebraic geometry (14-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)