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    2024

    1. On Recursion Operators for Full-Fledged Nonlocal Symmetries of the Reduced Quasi-classical Self-dual Yang-Mills Equation
      JAHNOVÁ, Jiřina and Petr VOJČÁK. On Recursion Operators for Full-Fledged Nonlocal Symmetries of the Reduced Quasi-classical Self-dual Yang-Mills Equation. Annales Henri Poincaré. Cham (SW): Springer International Publishing, 2024, vol. 25, No 10, p. 4633-4669. ISSN 1424-0637. Available from: https://dx.doi.org/10.1007/s00023-024-01425-2.
      Annales Henri Poincaré
      RIV/47813059:19610/24:A0000160 Article in a journal. English. Switzerland.
      Jahnová, Jiřina (203 Czech Republic, belonging to the institution) -- Vojčák, Petr (203 Czech Republic, guarantor, belonging to the institution)
      Keywords in English: The reduced quasi-classical self-dual Yang-Mills equation; Lax pairs; coverings; recursion operators; nonlocal symmetries
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 6/3/2025 13:48.
      More: https://is.slu.cz/publication/82504/en

    2023

    1. Non-Abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation
      VOJČÁK, Petr. Non-Abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation. Communications in Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., 2023, vol. 118, april, p. "107007-1"-"107007-11", 11 pp. ISSN 1007-5704. Available from: https://dx.doi.org/10.1016/j.cnsns.2022.107007.
      Communications in Nonlinear Science and Numerical Simulation
      RIV/47813059:19610/23:A0000144 Article in a journal. English. Netherlands.
      Vojčák, Petr (203 Czech Republic, guarantor, belonging to the institution)
      Keywords in English: 4D Martínez Alonso–Shabat equation; Lax pairs; Nonlocal symmetries; Recursion operators
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 8/4/2024 12:26.
      More: https://is.slu.cz/publication/78285/en

    2021

    1. On the algebra of nonlocal symmetries for the 4D Martínez Alonso-Shabat equation
      KRASILSHCHIK, Iosif Semjonovich and Petr VOJČÁK. On the algebra of nonlocal symmetries for the 4D Martínez Alonso-Shabat equation. Journal of Geometry and Physics. Amsterdam: Elsevier B.V., 2021, vol. 163, may, p. "104122-1"-"104122-12", 12 pp. ISSN 0393-0440. Available from: https://dx.doi.org/10.1016/j.geomphys.2021.104122.
      Journal of Geometry and Physics
      RIV/47813059:19610/21:A0000098 Article in a journal. English. Netherlands.
      Krasilshchik, Iosif Semjonovich (643 Russian Federation, guarantor) -- Vojčák, Petr (203 Czech Republic, belonging to the institution)
      Keywords in English: 4D Martinez Alonso-Shabat equation; Universal hierarchy equation; Lax pairs; Differential coverings; Nonlocal symmetries
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 29/3/2022 12:39.
      More: https://is.slu.cz/publication/54483/en

    2019

    1. Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation
      VOJČÁK, Petr, Oleg I. MOROZOV and Iosif S. KRASIL'SHCHIK. Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation. Journal of Geometry and Physics. Amsterdam: Elsevier B.V., 2019, vol. 146, December, p. "103519-1"-"103519-11", 11 pp. ISSN 0393-0440. Available from: https://dx.doi.org/10.1016/j.geomphys.2019.103519.
      Journal of Geometry and Physics
      Name (in English): Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation
      RIV/47813059:19610/19:A0000054 Article in a journal. English. Netherlands.
      Vojčák, Petr (203 Czech Republic, belonging to the institution) -- Morozov, Oleg I. (643 Russian Federation) -- Krasil'shchik, Iosif S. (643 Russian Federation)
      Keywords in English: Veronese web equation; Differential coverings; Lax pairs; Nonlocal symmetries; Recursion operators; Master symmetries
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 20/4/2020 16:00.
      More: https://is.slu.cz/publication/32743/en

    2018

    1. Nonlocal Symmetries of Integrable Linearly Degenerate Equations: A Comparative Study
      BARAN, Hynek, Petr VOJČÁK, Oleg I. MOROZOV and Iosif S. KRASIL'SHCHIK. Nonlocal Symmetries of Integrable Linearly Degenerate Equations: A Comparative Study. Theoretical and Mathematical Physics. New York: Pleiades Publishing, 2018, vol. 196, No 2, p. 1089-1110. ISSN 0040-5779. Available from: https://dx.doi.org/10.1134/S0040577918080019.
      Theoretical and Mathematical Physics
      Name (in English): Nonlocal Symmetries of Integrable Linearly Degenerate Equations: A Comparative Study
      RIV/47813059:19610/18:A0000024 Article in a journal. English. United States of America.
      Baran, Hynek (203 Czech Republic, guarantor, belonging to the institution) -- Vojčák, Petr (203 Czech Republic, belonging to the institution) -- Morozov, Oleg I. (643 Russian Federation) -- Krasil'shchik, Iosif S. (643 Russian Federation)
      Keywords in English: partial differential equation; integrable linearly degenerate equation; nonlocal symmetry; recursion operator
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 9/4/2019 17:15.
      More: https://is.slu.cz/publication/30209/en
    2. Reductions of the Universal Hierarchy and rdDym Equations and Their Symmetry Properties
      HOLBA, Pavel, Petr VOJČÁK, Iosif S. KRASIL'SHCHIK and Oleg I. MOROZOV. Reductions of the Universal Hierarchy and rdDym Equations and Their Symmetry Properties. Lobachevskii Journal of Mathematics. New York: Pleiades Publishing, 2018, vol. 39, No 5, p. 673-681. ISSN 1995-0802. Available from: https://dx.doi.org/10.1134/S1995080218050086.
      Lobachevskii Journal of Mathematics
      Name (in English): Reductions of the Universal Hierarchy and rdDym Equations and Their Symmetry Properties
      RIV/47813059:19610/18:A0000033 Article in a journal. English. United States of America.
      Holba, Pavel (203 Czech Republic, belonging to the institution) -- Vojčák, Petr (203 Czech Republic, guarantor, belonging to the institution) -- Krasil'shchik, Iosif S. (643 Russian Federation) -- Morozov, Oleg I. (643 Russian Federation)
      Keywords in English: Partial differential equations; Lax integrable equations; symmetry reductions; nonlocal symmetries; universal hierarchy equation; rdDym equation
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 4/4/2019 16:56.
      More: https://is.slu.cz/publication/30482/en

    2017

    1. 2D reductions of the equation u(yy) = u(tx) + u(y)u(xx) - u(x)u(xy) and their nonlocal symmetries
      HOLBA, Pavel, Petr VOJČÁK, Iosif S. KRASIL'SHCHIK and Oleg I. MOROZOV. 2D reductions of the equation u(yy) = u(tx) + u(y)u(xx) - u(x)u(xy) and their nonlocal symmetries. Journal of Nonlinear Mathematical Physics. Abingdon: Taylor and Francis Ltd., 2017, vol. 24, No 1, p. 36-47. ISSN 1402-9251. Available from: https://dx.doi.org/10.1080/14029251.2017.1418052.
      Journal of Nonlinear Mathematical Physics
      Name (in English): 2D reductions of the equation u(yy) = u(tx) + u(y)u(xx) - u(x)u(xy) and their nonlocal symmetries
      RIV/47813059:19610/17:A0000035 Article in a journal. English. United Kingdom of Great Britain and Northern Ireland.
      Holba, Pavel (203 Czech Republic, belonging to the institution) -- Vojčák, Petr (203 Czech Republic, guarantor, belonging to the institution) -- Krasil'shchik, Iosif S. (643 Russian Federation) -- Morozov, Oleg I. (643 Russian Federation)
      Keywords in English: Partial differential equations; Lax integrable equations; symmetry reductions; nonlocal symmetries; Gibbons-Tsarev equation
      International impact: yes
      Reviewed: yes
      Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 4/4/2019 16:54.
      More: https://is.slu.cz/publication/30281/en
Displayed: 3/4/2025 22:33