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    2022

    1. Recursion Operators for Multidimensional Integrable PDEs
      SERGYEYEV, Artur. Recursion Operators for Multidimensional Integrable PDEs. Acta Applicandae Mathematicae. Dordrecht: Springer, 2022, vol. 181, No 1, p. "10-1"-"10-12", 12 pp. ISSN 0167-8019. Available from: https://dx.doi.org/10.1007/s10440-022-00524-8.
      Acta Applicandae Mathematicae
      RIV/47813059:19610/22:A0000107 Article in a journal. English. Netherlands.
      Sergyeyev, Artur (804 Ukraine, guarantor, belonging to the institution)
      Keywords in English: Recursion operators; Lax pairs; Integrable systems; Symmetries
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 4/3/2023 12:17.
      More: https://is.slu.cz/publication/65241/en

    2021

    1. Deforming lie algebras to frobenius integrable nonautonomous hamiltonian systems
      SERGYEYEV, Artur, Maciej BŁASZAK and Krzysztof MARCINIAK. Deforming lie algebras to frobenius integrable nonautonomous hamiltonian systems. Reports on Mathematical Physics. Oxford (GB): Elsevier Ltd., 2021, vol. 87, No 2, p. 249-263. ISSN 0034-4877. Available from: https://dx.doi.org/10.1016/S0034-4877(21)00028-8.
      Reports on Mathematical Physics
      RIV/47813059:19610/21:A0000089 Article in a journal. English. United Kingdom of Great Britain and Northern Ireland.
      Sergyeyev, Artur (804 Ukraine, belonging to the institution) -- Błaszak, Maciej (616 Poland, guarantor) -- Marciniak, Krzysztof (616 Poland)
      Keywords in English: Frobenius integrability; Lie algebras; Liouville integrability; quasi-Stäckel systems; separable systems
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 29/3/2022 09:38.
      More: https://is.slu.cz/publication/54461/en

    2020

    1. Extended symmetry analysis of an isothermal no-slip drift flux model
      SERGYEYEV, Artur, Stanislav OPANASENKO, Alexander BIHLO and Roman POPOVYCH. Extended symmetry analysis of an isothermal no-slip drift flux model. Physica D: Nonlinear Phenomena. Amsterdam: Elsevier B.V., 2020, vol. 402, No 132188, p. "132188-1"-"132188-16", 16 pp. ISSN 0167-2789. Available from: https://dx.doi.org/10.1016/j.physd.2019.132188.
      Physica D: Nonlinear Phenomena
      RIV/47813059:19610/20:A0000064 Article in a journal. English. Netherlands.
      Sergyeyev, Artur (804 Ukraine, belonging to the institution) -- Opanasenko, Stanislav (804 Ukraine, guarantor) -- Bihlo, Alexander (40 Austria) -- Popovych, Roman (804 Ukraine, belonging to the institution)
      Keywords in English: Hydrodynamic-type system; Isothermal no-slip drift flux; Point symmetry; Exact solution; Generalized symmetry; Conservation law
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 6/4/2021 14:09.
      More: https://is.slu.cz/publication/39680/en
    2. Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model
      OPANASENKO, Stanislav, Alexander BIHLO, Roman POPOVYCH and Artur SERGYEYEV. Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model. Physica D: Nonlinear Phenomena. Amsterdam: Elsevier B.V., 2020, vol. 411, No 132546, p. "132546-1"-"132546-19", 19 pp. ISSN 0167-2789. Available from: https://dx.doi.org/10.1016/j.physd.2020.132546.
      Physica D: Nonlinear Phenomena
      RIV/47813059:19610/20:A0000068 Article in a journal. English. Netherlands.
      Opanasenko, Stanislav (804 Ukraine, guarantor) -- Bihlo, Alexander (40 Austria) -- Popovych, Roman (804 Ukraine, belonging to the institution) -- Sergyeyev, Artur (804 Ukraine, belonging to the institution)
      Keywords in English: Generalized symmetry; Local conservation law; Recursion operator; Hamiltonian structure; Hydrodynamic-type system; Isothermal no-slip drift flux
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 6/4/2021 13:40.
      More: https://is.slu.cz/publication/49264/en
    3. The Palatini star: exact solutions of the modified Lane-Emden equation
      SERGYEYEV, Artur and Aneta WOJNAR. The Palatini star: exact solutions of the modified Lane-Emden equation. European Physical Journal C. New York (USA): SPRINGER, 2020, vol. 80, No 313, p. "313-1"-"313-6", 6 pp. ISSN 1434-6044. Available from: https://dx.doi.org/10.1140/epjc/s10052-020-7876-z.
      European Physical Journal C
      RIV/47813059:19610/20:A0000069 Article in a journal. English. United States of America.
      Sergyeyev, Artur (804 Ukraine, belonging to the institution) -- Wojnar, Aneta (616 Poland, guarantor)
      Keywords in English: modified Lane–Emden equation; exact solutions; Palatini gravity; stars
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 6/4/2021 06:53.
      More: https://is.slu.cz/publication/49384/en

    2019

    1. Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules
      SERGYEYEV, Artur, Sergiy I. SKURATIVSKYI and Vsevolod A. VLADIMIROV. Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules. Nonlinear Analysis: Real World Applications. Oxford, England: Elsevier Limited, 2019, vol. 47, June, p. 68-84. ISSN 1468-1218. Available from: https://dx.doi.org/10.1016/j.nonrwa.2018.09.005.
      Nonlinear Analysis: Real World Applications
      Name (in English): Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules
      RIV/47813059:19610/19:A0000049 Article in a journal. English. United Kingdom of Great Britain and Northern Ireland.
      Sergyeyev, Artur (804 Ukraine, belonging to the institution) -- Skurativskyi, Sergiy I. (804 Ukraine) -- Vladimirov, Vsevolod A. (804 Ukraine)
      Keywords in English: Chains of pre-stressed granules; Compactons; Integrable systems; Conservation laws; Stability test; Numerical simulation
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 28/4/2020 20:34.
      More: https://is.slu.cz/publication/32822/en
    2. Contact Lax pairs and associated (3+1)-dimensional integrable dispersionless systems
      SERGYEYEV, Artur and Maciej BŁASZAK. Contact Lax pairs and associated (3+1)-dimensional integrable dispersionless systems. In Norbert Euler, Maria Clara Nucci. Nonlinear Systems and Their Remarkable Mathematical Structures. 1st Edition. Boca Raton: Chapman and Hall/CRC, 2019, p. 29-58. Volume 2. ISBN 978-0-367-20847-9. Available from: https://dx.doi.org/10.1201/9780429263743-2.
      Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2
      RIV/47813059:19610/19:A0000070 Chapter(s) of a specialized book. English. United States of America.
      Sergyeyev, Artur (804 Ukraine, belonging to the institution) -- Błaszak, Maciej (616 Poland, guarantor)
      Keywords in English: integrable systems; Lax pairs; dispersionless systems
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 22/4/2021 11:22.
      More: https://is.slu.cz/publication/50200/en
    3. Dynamics, Geometry and Analysis: 20 years of Mathematical Institute in Opava
      KOČAN, Zdeněk, Michal MÁLEK and Artur SERGYEYEV. Dynamics, Geometry and Analysis: 20 years of Mathematical Institute in Opava. 2019.
      Dynamics, Geometry and Analysis: 20 years of Mathematical Institute in Opava
      Name (in English): Dynamics, Geometry and Analysis: 20 years of Mathematical Institute in Opava
      RIV/47813059:19610/19:A0000060 Organization of a conference. English. Czech Republic.
      Kočan, Zdeněk (203 Czech Republic, belonging to the institution) -- Málek, Michal (203 Czech Republic, guarantor, belonging to the institution) -- Sergyeyev, Artur (804 Ukraine, belonging to the institution)
      Keywords in English: Differential Geometry; Dynamical Systems; Conference; Opava
      Changed by: doc. RNDr. Michal Málek, Ph.D., učo 5193. Changed: 10/1/2020 09:56.
      More: https://is.slu.cz/publication/33440/en
    4. Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws
      SERGYEYEV, Artur and Iosif S. KRASIL'SHCHIK. Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws. Annales Henri Poincaré. Cham, Switzerland: Springer International Publishing AG, 2019, vol. 20, No 8, p. 2699-2715. ISSN 1424-0637. Available from: https://dx.doi.org/10.1007/s00023-019-00816-0.
      Annales Henri Poincaré
      Name (in English): Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws
      RIV/47813059:19610/19:A0000046 Article in a journal. English. Switzerland.
      Sergyeyev, Artur (804 Ukraine, guarantor, belonging to the institution) -- Krasil'shchik, Iosif S. (643 Russian Federation)
      Keywords in English: Przanowski equation; Lax representations; conservation laws; cosmological constant; gravity
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 20/4/2020 15:58.
      More: https://is.slu.cz/publication/32744/en
    5. Integrable (3+1)-dimensional system with an algebraic Lax pair
      SERGYEYEV, Artur. Integrable (3+1)-dimensional system with an algebraic Lax pair. Applied Mathematics Letters. Oxford, England: Elsevier Limited, 2019, vol. 92, June, p. 196-200. ISSN 0893-9659. Available from: https://dx.doi.org/10.1016/j.aml.2019.01.026.
      Applied Mathematics Letters
      Name (in English): Integrable (3+1)-dimensional system with an algebraic Lax pair
      RIV/47813059:19610/19:A0000048 Article in a journal. English. United Kingdom of Great Britain and Northern Ireland.
      Sergyeyev, Artur (804 Ukraine, guarantor, belonging to the institution)
      Keywords in English: Nonisospectral Lax pairs; (3+1)-dimensional integrable systems; Dispersionless systems
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 20/4/2020 15:59.
      More: https://is.slu.cz/publication/32821/en

    2018

    1. A century of Noether's theorem and beyond
      SERGYEYEV, Artur. A century of Noether's theorem and beyond. 2018.
      A Century of Noether's Theorem and Beyond
      Name (in English): A century of Noether's theorem and beyond
      RIV/47813059:19610/18:A0000036 Organization of a workshop. English. Czech Republic.
      Sergyeyev, Artur (804 Ukraine, guarantor, belonging to the institution)
      Keywords in English: exact solutions; symmetries; conservation laws; Noether’s theorems and their applications; integrable systems and associated geometric structures
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 5/4/2019 09:18.
      More: https://is.slu.cz/publication/30492/en
    2. Integrable (3+1)-dimensional systems with rational Lax pairs
      SERGYEYEV, Artur. Integrable (3+1)-dimensional systems with rational Lax pairs. Nonlinear Dynamics. Dordrecht (Netherlands): Springer, 2018, vol. 91, No 3, p. 1677-1680. ISSN 0924-090X. Available from: https://dx.doi.org/10.1007/s11071-017-3973-4.
      Nonlinear Dynamics
      RIV/47813059:19610/18:A0000009 Article in a journal. English. Netherlands.
      Sergyeyev, Artur (804 Ukraine, guarantor, belonging to the institution)
      Keywords in English: Multidimensional integrable systems; Dispersionless systems; Contact Lax pairs
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 4/4/2018 13:23.
      More: https://is.slu.cz/publication/29854/en
    3. New integrable (3+1)-dimensional systems and contact geometry
      SERGYEYEV, Artur. New integrable (3+1)-dimensional systems and contact geometry. Letters in Mathematical Physics. Dordrecht (Netherlands): Springer Netherlands, 2018, vol. 108, No 2, p. 359-376, 24 pp. ISSN 0377-9017. Available from: https://dx.doi.org/10.1007/s11005-017-1013-4.
      Letters in Mathematical Physics
      RIV/47813059:19610/18:A0000010 Article in a journal. English. Netherlands.
      Sergyeyev, Artur (804 Ukraine, guarantor, belonging to the institution)
      Keywords in English: Dispersionless systems; (3+1)-Dimensional integrable systems; Contact Lax pairs; Contact bracket; Conservation laws
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 4/4/2018 13:27.
      More: https://is.slu.cz/publication/29857/en

    2017

    1. A simple construction of recursion operators for multidimensional dispersionless integrable systems
      SERGYEYEV, Artur. A simple construction of recursion operators for multidimensional dispersionless integrable systems. Journal of Mathematical Analysis and Applications. San Diego (USA): Academic Press Inc. Elsevier Science, 2017, vol. 454, No 2, p. 468-480. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2017.04.050.
      Journal of Mathematical Analysis and Applications
      RIV/47813059:19610/17:A0000008 Article in a journal. English. United States of America.
      Sergyeyev, Artur (804 Ukraine, guarantor, belonging to the institution)
      Keywords in English: Integrable systems; Recursion operators; Lax pairs; Symmetries; Cosymmetries
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 4/4/2018 13:37.
      More: https://is.slu.cz/publication/29849/en
    2. Dispersionless (3+1)-dimensional integrable hierarchies
      BLASZAK, Maciej and Artur SERGYEYEV. Dispersionless (3+1)-dimensional integrable hierarchies. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. London: Royal Society, 2017, vol. 473, No 2201, p. „20160857-1“-„20160857-16“, 16 pp. ISSN 1364-5021. Available from: https://dx.doi.org/10.1098/rspa.2016.0857.
      Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
      RIV/47813059:19610/17:A0000004 Article in a journal. English. United Kingdom of Great Britain and Northern Ireland.
      Blaszak, Maciej (616 Poland) -- Sergyeyev, Artur (804 Ukraine, guarantor, belonging to the institution)
      Keywords in English: dispersionless systems; (3+1)-dimensional integrable systems; Lax pairs; R-matrix; contact bracket
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 4/4/2018 13:36.
      More: https://is.slu.cz/publication/29899/en
Displayed: 22/11/2024 08:09