On the integrability of hyperbolic systems of riccati-type equations

We consider equations of the form U_xy = U * U_x, where U(x, y) is a function taking values in an arbitrary finite-dimensional algebra T over the field ℂ. We show that every such equation can be naturally associated with two characteristic Lie algebras, L_x and L_y. We define the notion of a ℤ-graded Lie algebraB corresponding to a given equation. We prove that for every equation under consideration, the corresponding algebraB can be taken as a direct sum of the vector spaces L_x and L_y if we define the commutators of the elements from L_x and L_y by means of the zero-curvature relations. Assuming that the algebra T has no left ideals, we classify the equations of the specified type associated with the finite-dimensional characteristic Lie algebras L_x and L_y. All of these equations are Darboux-integrable. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 113, No. 2, pp. 261–275, November, 1997.     

Triterpenoid saponins Communication 16. Structure of araloside C

Summary The complete structure of araloside C — a triterpenoid saponin from the roots ofAralia manshurica (Rupr. et Mey) — was established.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimisheskaya, No. 7, pp. 1214–1222, July, 1965     

Self-assembly in the systems of magnetic anisotropic nanoparticles

This paper presents the complex investigation of the system of magnetic anisotropic nanoparticles using computer simulations in a wide range of the system’s parameters. The cluster analysis was made, various average characteristics of the formed clusters were calculated and the initial magnetic susceptibility and the radial distribution function were computed. It was shown that via changing the nanoparticles characteristics (their shape and the values of the magnetic moments) it’s possible to change macroscopic response of the system, that implements the idea of tuning and design new materials with controllable properties.     

Burning chromium-containing compounds in the filtration combustion mode

Burning a chromium-containing compound in an air stream in the filtration combustion mode was examined. Stable combustion conditions were determined for a feed stock comprised of the chromium-containing substance and an inert material.     

Volume flowrate in a plane convergent forced flow of an incompressible non-Newtonian liquid

A study is made of the plane convergent forced flow of an incompressible liquid with anomalous viscosity, whose rheological properties obey a power law. A reduction in flow cross section leads to the development of a counterpressure whose existence produces near the inlet a counterflow in the region adjacent to the fixed wall. By analogy with the case of plane-parallel flow an equation is derived for the volume flowrate per unit width of a plane convergent flow.Mekhanika Polimerov, Vol. 2, No. 1, pp. 116–122, 1966     

Effect of growth conditions on the structure of GaAs layers in the OM-hydride process

The dependence of the structure of epitaxial GaAs layers grown in the OM-hydride process on the growth temperature, the composition of the steam-gas mixture, and the preparation of the substrate surface is investigated. It is shown that the growth temperature together with the composition of the steam-gas mixture have a considerable effect on the degree of structural perfection of the epitaxial GaAs layers.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 69–71, November, 1984.     

Reactions of hydrazones and azines with metal salts Communication 5. Reactions of hydrazones and azines with mercuric halides

Conclusions Hydrazones and azines of acetaldehyde, acetone, butanone, cyclohexanone, cyclopentanone, camphor, 2,3-bornanedione, and acetophenone react with mercuric chloride and bromide with formation of complexes between the reactants of general composition (R₂C=N-NH₂)·nHgX₂; (R₂C=N-N=CR₂)·nHgX₂, in which X=C1 or Br and n=1 or 2.For Communication 4 see [1].Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 5, pp. 844–848, May, 1966.