Yuri P. Rybakov
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Yuri P. Rybakov has a total of 43 co-authors. Here are the top co-authors by number of shared publications:
G. N. Shikin
Peoples’ Friendship University of Russia
7 shared publications- Timur F. Kamalov
Federal State University of Education
7 shared publications - Bijan Saha
Joint Institute for Nuclear Research
6 shared publications V. P. Nisichenko
Patrice Lumumba Friendship of Nations University
4 shared publicationsYu. A. Popov
Department of Theoretical Physics Peoples' Friendship Laboratory of Information Technologies University of Russia 117198 Moscow Russia
4 shared publications- Anna V. Korolkova
RUDN University
3 shared publications
Latest Publications
- Open Access
- 30 April 2026
- Published by Peoples' Friendship University of Russia in Discrete and Continuous Models and Applied Computational Science
- Vol. 34 (1)
Physical dimensional quantities typesetting
The siunitx package is designed for typographically correct and consistent typesetting of physical quantities (numbers with units of measurement) in LaTeX documents. It automates formatting according to the rules of the International System of Units (SI), eliminating the need to manually manage spaces, fonts, and separators.
- 30 April 2026
- Published by Peoples' Friendship University of Russia in Discrete and Continuous Models and Applied Computational Science
- Vol. 34 (1)
Open AccessPhysical dimensional quantities typesetting
The siunitx package is designed for typographically correct and consistent typesetting of physical quantities (numbers with units of measurement) in LaTeX documents. It automates formatting according to the rules of the International System of Units (SI), eliminating the need to manually manage spaces, fonts, and separators.
- Open Access
- 7 December 2025
- Published by Peoples' Friendship University of Russia in Discrete and Continuous Models and Applied Computational Science
- Vol. 33 (4)
Basic elements of the BibTeX file structure
BibTeX is used to prepare bibliographic information for our journals. This article describes the basic structure of BibTeX files.
- 7 December 2025
- Published by Peoples' Friendship University of Russia in Discrete and Continuous Models and Applied Computational Science
- Vol. 33 (4)
Open AccessBasic elements of the BibTeX file structure
BibTeX is used to prepare bibliographic information for our journals. This article describes the basic structure of BibTeX files.
- 3 December 2025
- Published by Pleiades Publishing Ltd in Gravitation and Cosmology
- Vol. 31 (4) , 447-453
Wiener Interpretation of Quantum Mechanics, the Skyrme–Faddeev Chiral Model, and Neutrino Oscillations
We consider the essence of the well-known discussion between Bohr and Einstein (1935), which concerned the completeness of quantum mechanics. If one followed Bohr, then the wave function would give the probability description of an individual particle. However, Einstein considered the wave function as an instrument for describing the statistical ensemble of identical particles—solitons. On the other hand, Wiener found the special \(\alpha\)-representation of quantum mechanics, for which the wave function appeared to be an element of the random Hilbert space with normal dispersion. This fact proves the equivalence of Bohr’s and Einstein’s positions, the central limiting theorem being taken into account. Also the dark matter hypothesis and new possibilities of the Brioschi 16-spinor realization of the Skyrme–Faddeev chiral model are discussed, including the neutrino oscillation problem.- 3 December 2025
- Published by Pleiades Publishing Ltd in Gravitation and Cosmology
- Vol. 31 (4) , 447-453
Wiener Interpretation of Quantum Mechanics, the Skyrme–Faddeev Chiral Model, and Neutrino Oscillations
We consider the essence of the well-known discussion between Bohr and Einstein (1935), which concerned the completeness of quantum mechanics. If one followed Bohr, then the wave function would give the probability description of an individual particle. However, Einstein considered the wave function as an instrument for describing the statistical ensemble of identical particles—solitons. On the other hand, Wiener found the special \(\alpha\)-representation of quantum mechanics, for which the wave function appeared to be an element of the random Hilbert space with normal dispersion. This fact proves the equivalence of Bohr’s and Einstein’s positions, the central limiting theorem being taken into account. Also the dark matter hypothesis and new possibilities of the Brioschi 16-spinor realization of the Skyrme–Faddeev chiral model are discussed, including the neutrino oscillation problem.- Open Access
- 15 October 2025
- Published by Peoples' Friendship University of Russia in Discrete and Continuous Models and Applied Computational Science
- Vol. 33 (3) , 299-308
Dark matter hypothesis and new possibilities of the Skyrme-Faddeev chiral model
New possibilities of the 16-spinor realization of the Skyrme-Faddeev chiral model are discussed. Using gauge invariance principle, it is shown that there exist two independent ways for breaking the isotopic invariance symmetry. The first one concerns the interaction with the electromagnetic field (ordinary photons generated by the electric charge) and the second one includes the interaction with the new vector field (shadow/dark photons generated by the special neutrino charge). The neutrino oscillation phenomenon is explained.
- 15 October 2025
- Published by Peoples' Friendship University of Russia in Discrete and Continuous Models and Applied Computational Science
- Vol. 33 (3) , 299-308
Open AccessDark matter hypothesis and new possibilities of the Skyrme-Faddeev chiral model
New possibilities of the 16-spinor realization of the Skyrme-Faddeev chiral model are discussed. Using gauge invariance principle, it is shown that there exist two independent ways for breaking the isotopic invariance symmetry. The first one concerns the interaction with the electromagnetic field (ordinary photons generated by the electric charge) and the second one includes the interaction with the new vector field (shadow/dark photons generated by the special neutrino charge). The neutrino oscillation phenomenon is explained.
- Open Access
- 15 October 2025
- Published by Peoples' Friendship University of Russia in Discrete and Continuous Models and Applied Computational Science
- Vol. 33 (3) , 235-241
Typesetting tables
Recommendations are provided for the typesetting of tabular material in the journal in order to standardize its appearance.
- 15 October 2025
- Published by Peoples' Friendship University of Russia in Discrete and Continuous Models and Applied Computational Science
- Vol. 33 (3) , 235-241
Open AccessTypesetting tables
Recommendations are provided for the typesetting of tabular material in the journal in order to standardize its appearance.
- 4 September 2025
- Published by Pleiades Publishing Ltd in Gravitation and Cosmology
- Vol. 31 (3) , 283-290
Closed String Approximation in the Skyrme–Faddeev Chiral Model: Charged Lepton Sector
As a possible realization of Einstein’s idea of representing particles as solitons, i.e., clots of some nonlinear universal field, the Brioschi 16-spinors are introduced, these complex projective coordinates in the 8-geometry being well suited for the role of that fundamental “unitary field.” Within the scope of the 16-spinor realization of the Skyrme–Faddeev chiral model (SFCM), it is suggested to describe the family of charged leptons, including the electron, the muon and the taon, as topological solitons endowed with the Hopf topological invariant \(Q_{\textrm{H}}\), which can be interpreted, following Faddeev, as the lepton number \(\mathbb{L}\). For constructing axially symmetric topological soliton configurations, group theoretical analysis based on the Coleman–Palais principle of symmetric criticality is applied. Taking into account that according to Faddeev’s suggestion, these soliton configurations should have a closed string structure, the corresponding approximation method is used, its effectiveness being proven. Finally, spins and masses of the soliton configurations are found.- 4 September 2025
- Published by Pleiades Publishing Ltd in Gravitation and Cosmology
- Vol. 31 (3) , 283-290
Closed String Approximation in the Skyrme–Faddeev Chiral Model: Charged Lepton Sector
As a possible realization of Einstein’s idea of representing particles as solitons, i.e., clots of some nonlinear universal field, the Brioschi 16-spinors are introduced, these complex projective coordinates in the 8-geometry being well suited for the role of that fundamental “unitary field.” Within the scope of the 16-spinor realization of the Skyrme–Faddeev chiral model (SFCM), it is suggested to describe the family of charged leptons, including the electron, the muon and the taon, as topological solitons endowed with the Hopf topological invariant \(Q_{\textrm{H}}\), which can be interpreted, following Faddeev, as the lepton number \(\mathbb{L}\). For constructing axially symmetric topological soliton configurations, group theoretical analysis based on the Coleman–Palais principle of symmetric criticality is applied. Taking into account that according to Faddeev’s suggestion, these soliton configurations should have a closed string structure, the corresponding approximation method is used, its effectiveness being proven. Finally, spins and masses of the soliton configurations are found.- Open Access
- 15 December 2024
- Published by Peoples' Friendship University of Russia in Discrete and Continuous Models and Applied Computational Science
- Vol. 32 (4) , 445-451
Superconductivity and special symmetry of twisted tri-layer graphene in chiral model
Superconducting properties of twisted tri-layer graphene (TTG) are studied within the scope of the chiral model based on using the unitary matrix \(U \in SU(2)\) as an order parameter. To check the superconductor behavior of this system, the interaction with the external magnetic field \(B_0\) oriented along the graphene sheets is switched on and the internal magnetic intensity in the center is calculated as the function of the twisting angle. Vanishing of this function, due to the Meissner effect, being the important feature of the superconductivity, the corresponding dependence of the magic twisting angle on \(B_0\) is calculated. The unusual effect of re-entrant superconductivity for large values of \(B_0\) is discussed.- 15 December 2024
- Published by Peoples' Friendship University of Russia in Discrete and Continuous Models and Applied Computational Science
- Vol. 32 (4) , 445-451
Open AccessSuperconductivity and special symmetry of twisted tri-layer graphene in chiral model
Superconducting properties of twisted tri-layer graphene (TTG) are studied within the scope of the chiral model based on using the unitary matrix \(U \in SU(2)\) as an order parameter. To check the superconductor behavior of this system, the interaction with the external magnetic field \(B_0\) oriented along the graphene sheets is switched on and the internal magnetic intensity in the center is calculated as the function of the twisting angle. Vanishing of this function, due to the Meissner effect, being the important feature of the superconductivity, the corresponding dependence of the magic twisting angle on \(B_0\) is calculated. The unusual effect of re-entrant superconductivity for large values of \(B_0\) is discussed. - Open Access
- 15 December 2024
- Published by Peoples' Friendship University of Russia in Discrete and Continuous Models and Applied Computational Science
- Vol. 32 (3) , 319-324
Liquid radial flows with a vortex through porous media
The filtration process is studied for a popular class of filters with radial cartridges that proved their high effectiveness in purification of water. The mass balance equation for radial flows in porous media is obtained by using the lattice approximation method, the transverse diffusion process being taken into account. The Euler dynamical equations are modified by including the Darcy force proportional to the velocity of the filtration flow. The system of equations is written for the stationary axially symmetric radial flow and solved by the perturbation method, if the vertical velocity is supposed to be small.
- 15 December 2024
- Published by Peoples' Friendship University of Russia in Discrete and Continuous Models and Applied Computational Science
- Vol. 32 (3) , 319-324
Open AccessLiquid radial flows with a vortex through porous media
The filtration process is studied for a popular class of filters with radial cartridges that proved their high effectiveness in purification of water. The mass balance equation for radial flows in porous media is obtained by using the lattice approximation method, the transverse diffusion process being taken into account. The Euler dynamical equations are modified by including the Darcy force proportional to the velocity of the filtration flow. The system of equations is written for the stationary axially symmetric radial flow and solved by the perturbation method, if the vertical velocity is supposed to be small.
- 23 August 2024
- Published by Pleiades Publishing Ltd in Gravitation and Cosmology
- Vol. 30 (3) , 241-245
Brioschi 16-Spinors and Photons as Solitons in the Skyrme—Faddeev Chiral Model
Following Einstein’s idea of representing particles as solitons, i.e., clots of some nonlinear universal field, the Brioschi 16-spinors are introduced since they prove to be well suited for the role of this fundamental field. Taking into account the principle of spontaneous symmetry breaking as the foundation for the stability of particles as topological solitons, the 16-spinor realization of the Skyrme–Faddeev chiral model is suggested. Within the scope of this model, it is possible to describe photons as solitons, the interaction with electromagnetic and gravitational fields being included. The existence of asymptotically exact soliton solutions to the equations of motion is proven, with the special large parameter \(\tau\) being introduced.- 23 August 2024
- Published by Pleiades Publishing Ltd in Gravitation and Cosmology
- Vol. 30 (3) , 241-245
Brioschi 16-Spinors and Photons as Solitons in the Skyrme—Faddeev Chiral Model
Following Einstein’s idea of representing particles as solitons, i.e., clots of some nonlinear universal field, the Brioschi 16-spinors are introduced since they prove to be well suited for the role of this fundamental field. Taking into account the principle of spontaneous symmetry breaking as the foundation for the stability of particles as topological solitons, the 16-spinor realization of the Skyrme–Faddeev chiral model is suggested. Within the scope of this model, it is possible to describe photons as solitons, the interaction with electromagnetic and gravitational fields being included. The existence of asymptotically exact soliton solutions to the equations of motion is proven, with the special large parameter \(\tau\) being introduced.- Open Access
Entagled Optical Solitons in Non-Linear Kerr Dielecrtric
We consider optical 1D envelope solitons in Kerr dielectric with cubic non-linearity and use two solitons configurations for modelling entangled states of photons. We calculate spin, momentum and energy of solitons on the basis of approximate solutions to the nonlinear Maxwell equations and construct entangled two solitons singlet states in special stochastic representation.
Open AccessEntagled Optical Solitons in Non-Linear Kerr Dielecrtric
We consider optical 1D envelope solitons in Kerr dielectric with cubic non-linearity and use two solitons configurations for modelling entangled states of photons. We calculate spin, momentum and energy of solitons on the basis of approximate solutions to the nonlinear Maxwell equations and construct entangled two solitons singlet states in special stochastic representation.