100 citations · 1.8k across the 133 of their papers we have counts for
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Billiard representation for pseudo-Euclidean Toda-like systems of cosmological origin
V. D. Ivashchuk, V. N. Melnikov
The pseudo-Euclidean Toda-like system of cosmological origin is considered. When certain restrictions on the parameters of the model are imposed, the dynamics of the model near the…
Fluxbrane and S-brane solutions with polynomials related to rank-2 Lie algebras
I. S. Goncharenko, V. D. Ivashchuk, V. N. Melnikov
Composite fluxbrane and S-brane solutions for a wide class of intersection rules are considered. These solutions are defined on a product manifold R_{*} x M_1 x ... x M_n which con…
Dually-charged mesoatom on the space of constant negative curvature
V. D. Ivashchuk, V. N. Melnikov
The discrete spectrum solutions corresponding to dually-charged mesoatom on the space of constant negative curvature are obtained. The discrete spectrum of energies is finite and v…
Infinite-dimensional Grassmann-Banach algebras
V. D. Ivashchuk
A short review on infinite-dimensional Grassmann-Banach algebras (IDGBA) is presented. Starting with the simplest IDGBA over with -norm (suggested by A. Rogers),…
Toda p-brane black holes and polynomials related to Lie algebras
V. D. Ivashchuk, V. N. Melnikov
Black hole generalized p-brane solutions for a wide class of intersection rules are obtained. The solutions are defined on a manifold that contains a product of n - 1 Ricci-flat in…