differential equations,
local and nonlocal symmetries,
conservation laws,
$\mathcal{C}$-spectral sequence,
invariant solutions.
UDC:
514.85, 514.7
Subject:
nonlocal theory of PDE ; $\mathcal{C}$-spectral sequence of differential equations; methods of constructing exact solutions for nonlinear differential equations
Main publications:
Simmetrii i zakony sokhraneniya uravnenii matematicheskoi fiziki, Faktorial, M., 1997, 464 с.
Khor'kova N.G., “On the C-spectral sequence of differential equations”, Diff. Geom. and its Appl., 3 (1993), 219–243
Khor'kova N.G., “On the C-spectral sequence for systems of evolution equations”, Acta Appl. Math., 41 (1995), 145–152
Khor'kova N.G., Verbovetsky A.M., “On symmetry subalgebras and conservation laws for k-e turbulence model and the Navier-Stokes equation”, Amer. Math. Soc. Transl. Series 2, 167 (1995), 61–90
A. M. Astashov, I. V. Astashova, A. V. Bocharov, V. M. Buchstaber, V. A. Vassiliev, A. Verbovetsky, A. M. Vershik, A. P. Veselov, M. M. Vinogradov, L. Vitagliano, R. F. Vitolo, Th. Th. Voronov, V. G. Kac, Y. Kosmann-Schwarzbach, I. S. Krasil'shchik, I. M. Krichever, A. P. Krishchenko, S. K. Lando, V. V. Lychagin, M. Marvan, V. P. Maslov, A. S. Mishchenko, S. P. Novikov, V. N. Rubtsov, A. V. Samokhin, A. B. Sossinsky, J. Stasheff, D. B. Fuchs, A. Ya. Khelemsky, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Uspekhi Mat. Nauk, 75:2(452) (2020), 185–190; Russian Math. Surveys, 75:2 (2020), 369–375
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