Publication Records

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.

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.

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, 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.

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.

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.

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.

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

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.

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.

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, vol. 91, No 3, p. 1677-1680. ISSN 0924-090X. Available from: 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, vol. 108, No 2, p. 359-376, 24 pp. ISSN 0377-9017. Available from: 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, vol. 454, No 2, p. 468-480. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2017.04.050.

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.