Voir la notice de l'article provenant de la source Math-Net.Ru
@article{JSFU_2024_17_5_a1, author = {Oleg V. Kaptsov}, title = {Symmetries of linear and nonlinear partial differential equations}, journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika}, pages = {570--574}, publisher = {mathdoc}, volume = {17}, number = {5}, year = {2024}, language = {en}, url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_5_a1/} }
TY - JOUR AU - Oleg V. Kaptsov TI - Symmetries of linear and nonlinear partial differential equations JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2024 SP - 570 EP - 574 VL - 17 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2024_17_5_a1/ LA - en ID - JSFU_2024_17_5_a1 ER -
Oleg V. Kaptsov. Symmetries of linear and nonlinear partial differential equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 5, pp. 570-574. http://geodesic.mathdoc.fr/item/JSFU_2024_17_5_a1/
[1] L.V.Ovsyannikov, Group Analysis of differential equations, Academic Press, NY, 1982 | MR | Zbl
[2] N.H.Ibragimov, Transformation groups applied to mathematical physics, Reidel, Boston, 1985 | MR | Zbl
[3] P.Olver, Applications of Lie Groups to Differential Equations, Springer, NY, 1986 | MR | Zbl
[4] N.H.Ibragimov (Ed.), CRC Handbook of Lie Group Analysis of Differential Equations, v. I-III, CRC Press, Baton Rouge, 1995 | MR | Zbl
[5] A.D.Polyanin, V.F.Zaitsev, Handbook of Nonlinear Partial Differential Equations, Chapman Hall/CRC Press, 2012 | MR
[6] I.S.Krasil'shchik, A.M.Vinogradov, et al., Symmetries and conservation laws for differential equations of mathematical physics, American Mathematical Society, Providence, RI, 1999 | MR | Zbl
[7] W.Miller, Symmetry and separation of variables, Addison-Wesley Publishing Company, London, 1977 | MR | Zbl
[8] E.Kalnins, J.Kress, W.Miller, Separation of variables and superintegrability: the symmetry of solvable systems, IOP Publishing, Bristol, 2018 | MR | Zbl
[9] L.V.Ovsyannikov, Lectures on basic gas dynamics, Institute of Computer Studies, M.–Izhevsk, 2003 (in Russian)
[10] L.D.Landau, E.M.Lifshitz, Fluid Mechanics, Elsevier, 2013 | MR
[11] O.V.Kaptsov, “Contact Mappings of Jet Spaces”, Journal of Siberian Federal University. Mathematics Physics, 16:5 (2023), 583–590 | MR
[12] O.V.Kaptsov, Contact germs and partial differential equations, 2024, arXiv: 2404.01955