Results: **14**

#### Closed lattice of Toda equations

The method of closed chains of discrete symmetries is used to multiply Toda lattices in one and two spatial dimensions. Using the modified Toda equations m0TCand m1TC as an example, it is shown that the combination of the Darboux and Schlesinger **transformations** leads to closed dressing chains.
1. Matveev V. B., Salle M. A. Darboux **Transformations** and Solitons. Berlin ; Heidelberg, 1991.
2. Yurov A. V., Yurov V. A. The Landau-Lifshitz Equation, the NLS, and the Magnetic Rogue Wave as a By-Product ...

#### System analysis and methodology for developing a software product of a mathematical model of physical processes for the aviation industry

The method of closed chains of discrete symmetries is used to multiply Toda lattices in one and two spatial dimensions. Using the modified Toda equations m0TCand m1TC as an example, it is shown that the combination of the Darboux and Schlesinger **transformations** leads to closed dressing chains.
1. Matveev V. B., Salle M. A. Darboux **Transformations** and Solitons. Berlin ; Heidelberg, 1991.
2. Yurov A. V., Yurov V. A. The Landau-Lifshitz Equation, the NLS, and the Magnetic Rogue Wave as a By-Product ...

#### A mathematical simulation and a numerical investigation of dynamics of intramolecular tautomerny **transformation** without considering processes of a proton relaxation. Part I. A description of a mathematical model

There is a quantum statistical model of prototropic tautomeic **transformation** caused by vertical transition between different adiabatic potentials with two minima divided by potential barrier offered. Formula for the probability function defining time of tautomer **transformation** without regard to vibronic relaxation ...

#### Generation of exact solutions of Fridman equations leading to Cardy–Verlinde formula by Darboux **transformation**

It is considered a possibility of generation of exact solutions for Friedman equations by Darboux **transformation**, for which Cardy — Verlinde formula is valid. Two modifications of Darboux **transformation** are offered, which let generate such solutions. Exact solutions are obtained, for which Cardy — Verlinde formula is valid at least near some singularities....

#### Key guidelines of educational policy in the context of building a new model of higher education

The author examines the main aspects of the modern university activity related to the **transformation** of the educational system and current socio-cultural conditions of society. Possible strategies for organizing the educational process in a modern Russian university were formulated based on the integration of existing developments in higher ...

#### Digital **transformation** of Russian prosecution bodies: current status and development prospects

The article discusses the development and implementation of digital technologies in the supervisory activities of the Prosecutor’s Office of the Russian Federation. The main aspects of the state policy on the digital **transformation** of the bodies and organizations of the Russian Prosecutor’s Office have been studied. The authors focus on general trends in the informatization of prosecutorial activities for the purpose of strengthening legality and maintaining law ...

#### The **transformation** of the Baltic countries’ political elites: general and specific features

This research focuses on the features and **transformations** of power groups and their role in the political life of the societies of the Baltic countries. This article aims to analyse structural and functional changes in the composition of the Baltic political elites after these countries gained ...

#### The theory of peripheral capitalism: on the applicability of the Latin American model to the Baltic States. An attempt at an inter-disciplinary analysis

... regional development processes in the East of the Baltic Sea. The research aims to verify the theory of peripheral capitalism as applied to the Baltic States. The first theoretical objective is to draw a distinction between the ideas of modernisation and **transformation** in a regional context. The second objective is to adjust the theory of peripheral capitalism to smaller states. To study the features of the **transformation** of economic and political systems in the Baltics, this article conducts comparative ...

#### New classes of exact solutions and consistent models of cosmological evolution

... точно решаемые космологические модели // Теоретическая и математическая физика. 2004. Т. 139, № 3. С. 405—422.
4. Yurov A. V., Yurov V. A. Nonsingular Brane Solutions via the Darboux **Transformation** // Phys. Rev. D. 2005. Vol. 72, iss. 2. 026003.
5. Andrianov A. A., Cannata F., Kamenshchik A. Y. Smooth Dynamical Crossing of the Phantom Divide Line of a Scalar Field in Simple Cosmological Models // Phys. Rev. D. 2005. Vol. 72, iss. ...

#### The application of the method of average sections with coordinate **transformation** in three-dimensional modeling of dragline waste rehandling

... that information and analytical technology for modeling dragline waste rehandling in three-dimensional space through two-dimensional numerical algorithms. Using the methods of analytical geometry and mathematical statistics, a number of problems of **transforming** basic data to net models, creating average sections and local systems of coordinates, modeling routes of excavators in local systems of coor-dinates, and return **transformation** of modeling results to the initial system of coordinates have ...

#### The modern natural-anthropogenic prerequisites for the **transformation** of eolian coastal-marine natural complexes

This article offers the results of an analysis of natural and anthropogenic impacts on eolian coastal marine natural complexes of the Curonian and Vistula spits. The authors identify the contribution of natural and anthropogenic factors to the **transformation** of the spits’ natural complexes.
1. Бадюкова Е. Н., Жиндарев Л. А., Лукьянова С. А. и др. Особенности современной динамики лагунных берегов Куршской ...

#### Algebra method of the construction of the Maxwell equations in a 2D inhomogeneous dielectric

We study discrete isospectral symmetries for the linear problem in spatial dimensions two, by developing a Darboux (Moutard) **transformation** formalism for this problem. As an application, we construct some singular and nonsingular integrable potentials (dielectric permitivity) for the Maxwell equations in a 2D inhomogeneous medium.
1. Yurova A. A., Yurov A. V., Rudnev M. Darboux ...

#### Mathematical Model of Intramolecular Tautomeric **Transformation** and the Processes of a Relaxation of the Proton

A quantum statistical model of intramolecular tautomeric **transformation** is offered, accounts for the vibration of a proton as a result of its interaction with the surrounding medium simulated by the quantized field of radiation. Effective adiabatic potentials of the proton are approximated by the parabolas ...

#### The formation of the political elite in Lithuania at the turn of the 1980s—1990s: the role of “moral politicians”

... disintegration and further development of the country's policy. The role of the political elite, which is understood according to R. Putnam and J. Higley's definition, is considered in the conditions of political instability and uncertainty typical of **transformation** processes. In this context, the role of key actors is interpreted on the basis of the methodological structure of the so-called Stanford model developed by G. Almond and P. Bourdieu's theory of capital. This article reconstructs the course ...