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

Библиографическая ссылкаГод

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., 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
3Красильщик И.С. Nonlocal Conservation Laws of PDEs Possessing Differential Coverings // SYMMETRY. 2020. Vol. 12, Iss 11. С. 1760 (1-12).2020
4Лычагин 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
5Красильщик 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
6Красильщик 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
7Красильщик 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
8Красильщик 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
9Baran 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
10Holba 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
11Красильщик 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
12Красильщик 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
13Baran 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
14Красильщик 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
15Красильщик 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
16Красильщик 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
17Красильщик 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

18Красильщик 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

19Красильщик 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