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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 ...

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 ...

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 ...

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....

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 ...

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 ...

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 ...

... 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 ...

... 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. ...

... 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 ...

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 ...

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 ...