Красильщик И. С. (ИПУ РАН, Лаборатория 06). Публикации

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Монографии

1Красильщик И.С., Вербовецкий А.М., Vitolo R. The Symbolic Computation of Integrability Structures for Partial Differential Equations. Berlin, New York, London: Springer International Publishing, 2017. – 278 с.2017

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

2Красильщик И.С., Морозов О.И. Integrability structures of the (2 + 1)-dimensional Euler equation // Journal of Geometry and Physics. 2025. Vol. 215. С. 105543 (1-5).2025
3Красильщик И.С., Морозов О.И. Equivalence Problem for the Generalized Papoport--Leas Equation // Lobachevskii Journal of Mathematics. 2024. Т. 45, вып.10. С. 4670-4678.2024
4Красильщик И.С., Морозов О.И. Equivalence Problem for the Generalized Rapoport–Leas Equation // Lobachevskii Journal of Mathematics. 2024. Vol. 45, Iss.10. С. 4670-4678.2024
5Красильщик 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
6Красильщик 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
7Красильщик 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
8Красильщик 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
9Красильщик И.С. On Recursion Operators for Symmetries of the Pavlov-Mikhalev Equation // Lobachevskii Journal of Mathematics. 2022. Vol. 43, No. 10. С. 2757-2780.2022
10Красильщик И.С., Вербовецкий А.М. Recursion operators in the cotangent covering of the rdDym equation // Analysis and Mathematical Physics. 2022. Vol. 12. С. 1-14.2022
11Красильщик 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
12Красильщик И.С., Vojcak P. On the algebra of nonlocal symmetries for the 4D Martínez Alonso–Shabat equation // Journal of Geometry and Physics. 2021. Vol. 163. С. 104122 (1-12).2021
13Красильщик И.С. Nonlocal Conservation Laws of PDEs Possessing Differential Coverings // SYMMETRY. 2020. Vol. 12, Iss 11. С. 1760 (1-12).2020
14Лычагин В.В., Красильщик И.С. Geometric Study of Gas Behavior in a One-Dimensional Nozzle (the Case of the van Der Waals Gas) // Lobachevskii Journal of Mathematics. 2020. Vol. 41, No. 12,. С. 2458–2465.2020
15Красильщик И.С., Baran H., Marvan M.n., Blaschke P.n. On symmetries of the Gibbons–Tsarev equation // Journal of Geometry and Physics. 2019. Т. 144. С. 54-80.2019
16Красильщик И.С., Kruglikov B.S., Rubtsov V.N., Huru H. L. Editors’ preface to the Topical Issue on the Geometry and Algebra of PDEs // Journal of Geometry and Physics. 2019. Vol. 141. С. 159-160.2019
17Красильщик И.С., Sergyeyev A. Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws // Annales Henri Poincare. 2019. Vol. 20, Iss. 8. С. 2699-2715.2019
18Красильщик 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
19Baran 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
20Holba 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
21Красильщик 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
22Красильщик 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
23Baran 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
24Красильщик 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
25Красильщик И.С. Integrability in differential coverings // Journal of Geometry and Physics. 2015. Т. 87. С. 296-304, http://www.sciencedirect.com/science/article/pii/S0393044013002337.2015
26Красильщик И.С., Sergyeyev A. Integrability of S-deformable surfaces: Conservation laws, Hamiltonian structures and more // Journal of Geometry and Physics. 2015. Т. 97. С. 266-278, http://www.sciencedirect.com/science/article/pii/S039304401500162X.2015
27Красильщик И.С., Morozov O.I., Baran H., Vojcak P. Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems // Journal of Nonlinear Mathematical Physics. 2014. Т. 21, № 4. С. 643-671, http://www.tandfonline.com/doi/abs/10.1080/14029251.2014.975532.2014

Пленарные доклады и доклады из перечня Web of Science/Scopus

28Красильщик И.С. The theory of differential coverings and nonlocal geometry of PDEs / Proceedings of the 11th International Conference "Management of Large-Scale System Development" (MLSD). М.: IEEE, 2018. С. https://ieeexplore.ieee.org/document/8551810.2018

Тезисы докладов

29Красильщик И.С., Лычагин В.В. Групповая классификация уравнений истекания газа из сопла (случай идеального газа) / Труды 13-го Всероссийского совещания по проблемам управления (ВСПУ XIII, Москва, 2019). М.: ИПУ РАН, 2019. С. 1083-1087.2019