Монографии |
| 1 | Красильщик 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 |
| 2 | Красильщик И.С. On Variational Bivectors // Lobachevskii Journal of Mathematics. 2025. Vol. 46, Iss. 11. С. 5784–5792. | 2025 |
| 3 | Красильщик 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 |
| 4 | Красильщик 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 |
| 5 | Красильщик 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 |
| 6 | Красильщик 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 |
| 7 | Красильщик 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 |
| 8 | Красильщик 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 |
| 9 | Красильщик 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 |
| 10 | Красильщик 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 |
| 11 | Красильщик 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 |
| 12 | Красильщик 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 |
| 13 | Красильщик 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 |
| 14 | Красильщик И.С. Nonlocal Conservation Laws of PDEs Possessing Differential Coverings // SYMMETRY. 2020. Vol. 12, Iss 11. С. 1760 (1-12). | 2020 |
| 15 | Лычагин 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 |
| 16 | Красильщик 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 |
| 17 | Красильщик 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 |
| 18 | Красильщик 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 |
| 19 | Красильщик 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 |
| 20 | Baran 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 |
| 21 | Holba 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 |
| 22 | Красильщик 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 |
| 23 | Красильщик И.С., Morozov O.I., Baran H., Vojcak P. COVERINGS OVER LAX INTEGRABLE EQUATIONS AND THEIR NONLOCAL SYMMETRIES // Theoretical and Mathematical Physics. 2016. V.188, no. 3. С. 1273-1295. | 2016 |
| 24 | Красильщик И.С., Rubtsov V.N. Nonlinear partial differential equations: Integrability, geometry and related topics // Journal of Geometry and Physics. 2016. Volume 113. С. 1. | 2016 |
| 25 | Красильщик 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 |
| 26 | Baran 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 |
| 27 | Красильщик 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 |
| 28 | Красильщик 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 |
| 29 | Красильщик 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 |
| 30 | Красильщик 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 |
| 31 | Красильщик 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 |
| 32 | Красильщик 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 |
