Výpis publikací

SERGYEYEV, Artur. Recursion Operators for Multidimensional Integrable PDEs. Acta Applicandae Mathematicae. Dordrecht: Springer, 2022, roč. 181, č. 1, s. "10-1"-"10-12", 12 s. ISSN 0167-8019. Dostupné z: https://dx.doi.org/10.1007/s10440-022-00524-8.

SERGYEYEV, Artur, Maciej BŁASZAK a Krzysztof MARCINIAK. Deforming lie algebras to frobenius integrable nonautonomous hamiltonian systems. Reports on Mathematical Physics. Oxford (GB): Elsevier Ltd., 2021, roč. 87, č. 2, s. 249-263. ISSN 0034-4877. Dostupné z: https://dx.doi.org/10.1016/S0034-4877(21)00028-8.

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, 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.

SERGYEYEV, Artur a Aneta WOJNAR. The Palatini star: exact solutions of the modified Lane-Emden equation. European Physical Journal C. New York (USA): SPRINGER, 2020, roč. 80, č. 313, s. "313-1"-"313-6", 6 s. ISSN 1434-6044. Dostupné z: https://dx.doi.org/10.1140/epjc/s10052-020-7876-z.

SERGYEYEV, Artur, Sergiy I. SKURATIVSKYI a 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, roč. 47, June, s. 68-84. ISSN 1468-1218. Dostupné z: https://dx.doi.org/10.1016/j.nonrwa.2018.09.005.

SERGYEYEV, Artur a 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, s. 29-58. Volume 2. ISBN 978-0-367-20847-9. Dostupné z: https://dx.doi.org/10.1201/9780429263743-2.

KOČAN, Zdeněk, Michal MÁLEK a Artur SERGYEYEV. Dynamics, Geometry and Analysis: 20 years of Mathematical Institute in Opava. 2019.

SERGYEYEV, Artur a 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, roč. 20, č. 8, s. 2699-2715. ISSN 1424-0637. Dostupné z: https://dx.doi.org/10.1007/s00023-019-00816-0.

SERGYEYEV, Artur. Integrable (3+1)-dimensional system with an algebraic Lax pair. Applied Mathematics Letters. Oxford, England: Elsevier Limited, 2019, roč. 92, June, s. 196-200. ISSN 0893-9659. Dostupné z: https://dx.doi.org/10.1016/j.aml.2019.01.026.

SERGYEYEV, Artur. A century of Noether's theorem and beyond. 2018.

SERGYEYEV, Artur. Integrable (3+1)-dimensional systems with rational Lax pairs. Nonlinear Dynamics. Dordrecht (Netherlands): Springer, 2018, roč. 91, č. 3, s. 1677-1680. ISSN 0924-090X. Dostupné z: https://dx.doi.org/10.1007/s11071-017-3973-4.

SERGYEYEV, Artur. New integrable (3+1)-dimensional systems and contact geometry. Letters in Mathematical Physics. Dordrecht (Netherlands): Springer Netherlands, 2018, roč. 108, č. 2, s. 359-376, 24 s. ISSN 0377-9017. Dostupné z: https://dx.doi.org/10.1007/s11005-017-1013-4.

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, roč. 454, č. 2, s. 468-480. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2017.04.050.

BLASZAK, Maciej a Artur SERGYEYEV. Dispersionless (3+1)-dimensional integrable hierarchies. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. London: Royal Society, 2017, roč. 473, č. 2201, s. „20160857-1“-„20160857-16“, 16 s. ISSN 1364-5021. Dostupné z: https://dx.doi.org/10.1098/rspa.2016.0857.