Speciality: 01.01.04 (Geometry and topology)
Keywords: 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:

1. Simmetrii i zakony sokhraneniya uravnenii matematicheskoi fiziki, Faktorial, M., 1997, 464 с.
2. Khorkova N.G., “Zakony sokhraneniya i nelokalnye simmetrii”, Matematicheskie zametki, 44:1 (1988), 134–144
3. Khor'kova N.G., “On the C-spectral sequence of differential equations”, Diff. Geom. and its Appl., 3 (1993), 219–243
4. Khor'kova N.G., “On the C-spectral sequence for systems of evolution equations”, Acta Appl. Math., 41 (1995), 145–152
5. 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

Publications in Math-Net.Ru

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• Bauman Moscow State Technical University