Морозов О. И. (ИПУ РАН, Лаборатория 06). Публикации

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Статьи в журналах/сборниках из перечня Web of Science/Scopus

1Красильщик И.С., Морозов О.И. Lagrangian extensions of multi-dimensional integrable equations. I. The five-dimensional Martínez Alonso–Shabat equation // Analysis and Mathematical Physics. 2023. Т. 13 (1), № 2. С. 1-20.2023
2Красильщик И.С., Морозов О.И. The Calogero--Bogoyavlenskii--Schiff breaking soliton equation: recursion operators and higher symmetries // Journal of Geometry and Physics. 2023. Vol. 192. С. 104927 (1-10).2023
3Красильщик И.С., Морозов О.И. The Calogero–Bogoyavlenskii–Schiff breaking soliton equation: Recursion operators and higher symmetries // Journal of Geometry and Physics. 2023. Vol. 192. С. 104927 (1-10).2023
4Красильщик И.С., Морозов О.И. The Equations of the Darcy–Brinkman Flow: the Lie Symmetry Classification, Conservation Laws, and Traveling Wave Solutions // Lobachevskii Journal of Mathematics. 2023. Vol. 44, № 9. С. 3941–3944.2023
5Морозов О.И. A Lax representation of the Charney--Obukhov equation for the ocean // Lobachevskii Journal of Mathematics. 2023. Vol. 44, № 9. С. 3973–3975.2023
6Красильщик И.С., Морозов О.И. The equation of filtration for real gases: group classification, exact solutions, conservation laws, and differential invariants // Lobachevskii Journal of Mathematics. 2022. Vol 43, № 10. С. 2781-2784.2022
7Морозов О.И. Higher symmetries of the cotangent covering for the modified Veronese web equation // Lobachevskii Journal of Mathematics. 2022. Vol. 43, No 10. С. 2797-2801.2022
8Морозов О.И. Integrability properties of the four-dimensional equation of universal hierarchy // JOURNAL OF MATHEMATICAL SCIENCES. 2022. Vol. 263, No 3. С. 396-403.2022
9Морозов О.И. Integrable partial differential equations and Lie–Rinehart algebras // Journal of Geometry and Physics. 2022. T. 181. С. 104661 (1-11) https://www.sciencedirect.com/science/article/pii/S039304402200211X.2022
10Морозов О.И., Chang J.-H. The dispersionless Veselov--Novikov equation: symmetries, exact solutions, and conservation laws // Analysis and Mathematical Physics. 2021. Vol. 11, Iss. 3. С. 126 (1-26) https://link.springer.com/article/10.1007/s13324-021-00563-8.2021
11Морозов О.И. Integrability structures of the generalized Hunter--Saxton equation // Analysis and Mathematical Physics. 2021. Vol.11, Iss. 2 . С. 50, (21) https://link.springer.com/article/10.1007/s13324-021-00490-8.2021
12Морозов О.И. Isospectral deformation of the reduced quasi-classical self-dual Yang--Mills equation // Differential Geometry and its Applications. 2021. Vol. 76. С. 101742 (1-14);.2021
13Морозов О.И. Nonlinear nonisospectral differential coverings for the hyper-CR equation of Einstein--Weyl structures and the Gibbons--Tsarev equation // Differential Geometry and its Applications. 2021. Vol. 75. С. 101740 (1-12); .2021
14Красильщик И.С., Морозов О.И., Vojcak P. Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation // Journal of Geometry and Physics. 2019. Vol. 146. С. 103519 (1-11).2019
15Морозов О.И. Lax representations with non-removable parameters and integrable hierarchies of PDEs via exotic cohomology of symmetry algebras // Journal of Geometry and Physics. 2019. Vol. 143. С. 150-163.2019
16Baran H., Красильщик И.С., Морозов О.И., Vojcak P. Nonlocal symmetries of integrable linearly degenerate equations: a comparative study // Theoretical and Mathematical Physics. 2018. Vol. 196, № 2. С. 169-192 (1089-1110).2018
17Holba P., Морозов О.И., Vojcak P., Красильщик И.С. Reductions of the universal hierarchy and rdDym equations and their symmetry properties // Lobachevskii Journal of Mathematics. 2018. Vol. 39, № 5. С. 673-681 .2018
18Морозов О.И. Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations // Journal of Geometry and Physics. 2018. Vol. 128. С. 20-31.2018
19Морозов О.И., Lelito A. Invariant solutions of the Khokhlov–Zabolotskaya singular manifold equation and their application // Reports on mathematical physics. 2018. Vol. 81. С. 65-79.2018
20Морозов О.И., Lelito A. Nonlocal symmetries of Plebanski’s second heavenly equation. // Journal of Nonlinear Mathematical Physics. 2018. Vol. 25, Iss. 2. С. 188-197 https://www.tandfonline.com/toc/tnmp20/25/2?nav=tocList.2018
21Морозов О.И., Lelito A. Three-component nonlocal conservation laws for Lax–integrable 3D partial differential equations. // Journal of Geometry and Physics. 2018. Vol. 131. С. 89-100.2018
22Holba P., Krasil'shchik I.S., Морозов О.И., Vojcak P. 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. 2017. Vol. 24, Sup. 1. С. 36-47.2017
23Красильщик И.С., Морозов О.И., Vojcak P., Holba P. 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. 2017. Vol. 24, Supplement 1. С. 36–47.2017
24Морозов О.И. Deformed cohomologies of symmetry pseudo-groups and coverings of differential equations // Journal of Geometry and Physics. 2017. Vol. 113. С. 215-225.2017
25Морозов О.И., Pavlov M.V. Backlund transformations between four Lax-integrable 3D equations // Journal of Nonlinear Mathematical Physics. 2017. Vol. 24, Iss. 4. С. 465-468.2017
26Baran H., Krasil'shchik I.S., Морозов О.И., Vojcak P. Coverings over Lax-integrable equations and their nonlocal symmetries // Theoretical and Mathematical Physics. 2016. Vol. 88, № 3. С. 1273-1295.2016
27Kruglikov B.S., Морозов О.И. A Backlund transformation between the four-dimensional Martinez Alonso--Shabat and Ferapontov--Khusnutdinova equations // Theoretical and Mathematical Physics. 2016. Vol. 188, № 3. С. 1358-1360.2016
28Lelito A., Морозов О.И. The Gibbons–Tsarev equation: symmetries, invariant solutions, and applications // Journal of Nonlinear Mathematical Physics. 2016. Vol. 23, № 2. С. 243-255.2016
29Красильщик И.С., Sergyeyev A., Морозов О.И. Infinitely many nonlocal conservation laws for the ABC equation with A+B+C≠0 // Calculus of Variations and Partial Differential Equations. 2016. Vol. 55, № 5 . С. 1-12, http://link.springer.com/article/10.1007/s00526-016-1061-0.2016
30Baran H., Морозов О.И., Vojcak P., Красильщик И.С. Integrability properties of some equations obtained by symmetry reductions // Journal of Nonlinear Mathematical Physics. 2015. Vol. 22, № 2. С. 210-232.2015
31Kruglikov B.S., Морозов О.И. Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations // Letters in Mathematical Physics. 2015. Vol. 105, № 12. С. 1703-1723.2015
32Красильщик И.С., Baran H., Vojcak P., Морозов О.И. Five-dimensional Lax-integrable equation, its reductions and recursion operator // Lobachevskii Journal of Mathematics. 2015. Т. 36, № 3. С. 225-233, http://link.springer.com/article/10.1134%2FS1995080215030026.2015

Статьи в журналах/сборниках из перечня ВАК

33Морозов О.И. Свойства интегрируемости четырёхмерного уравнения универсальной иерархии // Итоги науки и техники. Современная математика и ее приложения. Тематические обзоры. 2019. Т. 169, Ч. 2. С. 48-55.2019
34Морозов О.И. Symmetries and Lax integrability of the generalized Proudman--Johnson equation / Научный вестник МГТУ ГА. М.: МГТУ ГА, 2017. T. 20. С. 94-99.2017
35Морозов О.И., Pavlov M.V. Contact integrable extensions of symmetry pseudo-group and coverings for the r-th double modified dispersionless Kadomtsev--Petviashvili equation / Научный Вестник МГТУ ГА. М.: МГТУ ГА, 2016. Т. 224. С. 97-106.2016

Главы в книгах

36Морозов О.И. Lax Representations via Twisted Extensions of Infinite-Dimensional Lie Algebras: Some New Results / Contemporary Mathematics, Volume 788. Providence: American Mathematical Society, 2023. С. 215--229.2023

Пленарные доклады

37Морозов О.И. Isospectral deformation of the reduced quasi-classical dual Yang-Mills equation and its Lagrangian extension / Book of Abstracts of the Modern Achievements in Symmetries of Differential Equations (Symmetry 2022). Nakhon Ratchasima, Thailand: Suranaree University of Technology, 2022. С. 36-36.2022

Тезисы докладов

38Морозов О.И. Extensions of Lie algebras and integrability of some equations of fluid dynamics and magnetohydrodynamics / Book of abstracts of International conference «Advances in applications of analytical methods for solving differential equations» (Symmetry 2024). Nakhon Ratchasima, Thailand: Suranaree University of Technology, 2024. С. 46-46.2024