Výpis publikací

BOYKO, Vyacheslav M, Oleksandra V LOKAZIUK a Roman POPOVYCH. Admissible transformations and Lie symmetries of linear systems of second-order ordinary differential equations. Journal of Mathematical Analysis and Applications. San Diego (USA): Academic Press Inc. Elsevier Science, 2024, roč. 539, č. 2, s. "128543-1"-"128543-51", 51 s. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2024.128543.

KOVAL, Serhii D a Roman POPOVYCH. Extended symmetry analysis of (1+2)-dimensional fine Kolmogorov backward equation. Studies in Applied Mathematics. Hoboken (USA): John Wiley and Sons, Inc., 2024, roč. 153, č. 1, s. "e12695-1"-"e12695-30", 30 s. ISSN 0022-2526. Dostupné z: https://dx.doi.org/10.1111/sapm.12695.

VINNICHENKO, Oleksandra O, Vyacheslav M BOYKO a Roman POPOVYCH. Lie reductions and exact solutions of dispersionless Nizhnik equation. Analysis and Mathematical Physics. Basel, Switzerland: Springer Basel AG, 2024, roč. 14, č. 4, s. "82-1"-"82-56", 56 s. ISSN 1664-2368. Dostupné z: https://dx.doi.org/10.1007/s13324-024-00925-y.

BOYKO, Vyacheslav, Roman POPOVYCH a Oleksandra VINNICHENKO. Point- and contact-symmetry pseudogroups of dispersionless Nizhnik equation. Communications in Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., 2024, roč. 132, May, s. "107915-1"-"107915-19", 19 s. ISSN 1007-5704. Dostupné z: https://dx.doi.org/10.1016/j.cnsns.2024.107915.

MALTSEVA, Diana S a Roman POPOVYCH. Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti-Leon-Pempinelli system. Physica D: Nonlinear Phenomena. Amsterdam: Elsevier B.V., 2024, roč. 460, April, s. "134081-1"-"134081-21", 21 s. ISSN 0167-2789. Dostupné z: https://dx.doi.org/10.1016/j.physd.2024.134081.

KOVAL, Serhii D, Alexander BIHLO a Roman POPOVYCH. Extended symmetry analysis of remarkable (1+2)-dimensional Fokker-Planck equation. European Journal of Applied Mathematics. New York (USA): Cambridge University Press, 2023, roč. 34, č. 5, s. 1067-1098. ISSN 0956-7925. Dostupné z: https://dx.doi.org/10.1017/S0956792523000074.

KOVAL, Serhii D a Roman POPOVYCH. Point and generalized symmetries of the heat equation revisited. Journal of Mathematical Analysis and Applications. San Diego (USA): Academic Press Inc. Elsevier Science, 2023, roč. 527, č. 2, s. "127430-1"-"127430-21", 21 s. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2023.127430.

OPANASENKO, Stanislav a Roman POPOVYCH. Mapping method of group classification. Journal of Mathematical Analysis and Applications. San Diego (USA): Academic Press Inc. Elsevier Science, 2022, roč. 513, č. 2, s. "126209-1"-"126209-43", 43 s. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2022.126209.

POPOVYCH, Roman, Vyacheslav M. BOYKO a Michael KUNZINGER. Parameter-dependent linear ordinary differential equations and topology of domains. Journal of Differential Equations. San DIego (USA): Academic Press Inc. Elsevier Science, 2021, roč. 284, may, s. 546-575. ISSN 0022-0396. Dostupné z: https://dx.doi.org/10.1016/j.jde.2021.03.001.

POPOVYCH, Roman, Stanislav OPANASENKO a Vyacheslav BOYKO. Enhanced group classification of nonlinear diffusion-reaction equations with gradient-dependent diffusivity. Journal of Mathematical Analysis and Applications. San Diego (USA): Academic Press Inc. Elsevier Science, 2020, roč. 484, č. 1, s. "123739-1"-"123739-30", 30 s. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2019.123739.

SERGYEYEV, Artur, Stanislav OPANASENKO, Alexander BIHLO a Roman POPOVYCH. Extended symmetry analysis of an isothermal no-slip drift flux model. Physica D: Nonlinear Phenomena. Amsterdam: Elsevier B.V., 2020, roč. 402, č. 132188, s. "132188-1"-"132188-16", 16 s. ISSN 0167-2789. Dostupné z: https://dx.doi.org/10.1016/j.physd.2019.132188.

OPANASENKO, Stanislav a Roman POPOVYCH. Generalized symmetries and conservation laws of (1+1)-dimensional Klein-Gordon equation. Journal of Mathematical Physics. Melville (USA): American Institute of Physics, 2020, roč. 61, č. 101515, s. "101515-1"-"101515-13", 13 s. ISSN 0022-2488. Dostupné z: https://dx.doi.org/10.1063/5.0003304.

OPANASENKO, Stanislav, Alexander BIHLO, Roman POPOVYCH a 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, roč. 411, č. 132546, s. "132546-1"-"132546-19", 19 s. ISSN 0167-2789. Dostupné z: https://dx.doi.org/10.1016/j.physd.2020.132546.

POPOVYCH, Roman. Symmetries and conservation laws of differential equations. 2019.

OPANASENKO, Stanislav, Alexander BIHLO a Roman POPOVYCH. Group analysis of general Burgers-Korteweg-de Vries equations. Journal of Mathematical Physics. USA: American Institute of Physics, 2017, roč. 58, č. 8, s. „081511-1“-„081511-37“, 37 s. ISSN 0022-2488. Dostupné z: https://dx.doi.org/10.1063/1.4997574.