Envelope solitons in a chain of coupled nonlinear resonators

The propagation of radio pulses and the formation of envelope solitons in different sections of the dispersion curve of a chain of coupled nonlinear resonance circuits, including those near the null of the second-order dispersion, is investigated experimentally. A comparison is made with numerical data and the results of analytical research.Physics Department, M. V. Lomonosov State University, Moscow. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, No. 10, pp. 1335–1340, October, 1994.     

Infinite-dimensional representations of the Einstein group

The representations of the general linear group GL(4.R) are described. This group corresponds to the space-time transformations discussed in the general theory of relativity. Besides the well-known tensor representations, the group is also characterized by infinite-dimensional representations with integral and half-integral spins. This fact opens up a natural possibility, in principle, of constructing a covariant theory of particle fields. Pis’ma Zh. éksp. Teor. Fiz. 64, No. 5, 309–312 (10 September 1996)     

Synthesis and Structure of Perchloro-1λ5,3λ5-diphosphetane

Russian Journal of General Chemistry -     

On the theory of spin exchange structures

All possible types of spin ordering manifested in spin-spin correlation functions are determined. Some general characteristics of arbitrary spin structures predicted by macroscopic theory are examined, including energy associated with inhomogeneity, anisotropy, and energy in external fields.     

Gas release in the process of thermal treatment of sputtered Pb(Ti<Subscript>0.48</Subscript>Zr<Subscript>0.52</Subscript>)O<Subscript> <Emphasis Type="Italic">x</Emphasis> </Subscript> films

The conditions (regimes of deposition and thermal treatment) for gas bubble formation in ferroelectric Pb(Ti_1–yZr_y)O₃ films have been determined by thermal desorption and electron and optical micros-copy. A mechanism of bubble formation has been proposed. This mechanism rests upon the notion that lead can form oxides of the PbO₂ type with a high oxygen content at relatively low temperatures and that these oxides break down with the release of oxygen to lower oxides of the PbO type upon subsequent heating. These ideas have been taken as the basis of a technique for the fabrication of Pb(Ti_1–yZr_y)O₃ films with a reduced (by an order of magnitude) density of through defects.