Publication Records

BOYKO, Vyacheslav M., Oleksandra V. LOKAZIUK and 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, vol. 539, No 2, p. "128543-1"-"128543-51", 51 pp. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2024.128543.

KOVAL, Serhii D. and 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, vol. 153, No 1, p. "e12695-1"-"e12695-30", 30 pp. ISSN 0022-2526. Available from: https://dx.doi.org/10.1111/sapm.12695.

VINNICHENKO, Oleksandra O., Vyacheslav M. BOYKO and Roman POPOVYCH. Lie reductions and exact solutions of dispersionless Nizhnik equation. Analysis and Mathematical Physics. Basel, Switzerland: Springer Basel AG, 2024, vol. 14, No 4, p. "82-1"-"82-56", 56 pp. ISSN 1664-2368. Available from: https://dx.doi.org/10.1007/s13324-024-00925-y.

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

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

KOVAL, Serhii D, Alexander BIHLO and 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, vol. 34, No 5, p. 1067-1098. ISSN 0956-7925. Available from: https://dx.doi.org/10.1017/S0956792523000074.

KOVAL, Serhii D and 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, vol. 527, No 2, p. "127430-1"-"127430-21", 21 pp. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2023.127430.

OPANASENKO, Stanislav and Roman POPOVYCH. Mapping method of group classification. Journal of Mathematical Analysis and Applications. San Diego (USA): Academic Press Inc. Elsevier Science, 2022, vol. 513, No 2, p. "126209-1"-"126209-43", 43 pp. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2022.126209.

POPOVYCH, Roman, Vyacheslav M. BOYKO and 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, vol. 284, may, p. 546-575. ISSN 0022-0396. Available from: https://dx.doi.org/10.1016/j.jde.2021.03.001.

POPOVYCH, Roman, Stanislav OPANASENKO and 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, vol. 484, No 1, p. "123739-1"-"123739-30", 30 pp. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2019.123739.

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.

OPANASENKO, Stanislav and 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, vol. 61, No 101515, p. "101515-1"-"101515-13", 13 pp. ISSN 0022-2488. Available from: https://dx.doi.org/10.1063/5.0003304.

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.

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

OPANASENKO, Stanislav, Alexander BIHLO and Roman POPOVYCH. Group analysis of general Burgers-Korteweg-de Vries equations. Journal of Mathematical Physics. USA: American Institute of Physics, 2017, vol. 58, No 8, p. „081511-1“-„081511-37“, 37 pp. ISSN 0022-2488. Available from: https://dx.doi.org/10.1063/1.4997574.