Основное внимание в книге уделено методам построения аналитических решений нелинейных дифференциальных уравнений. Для решения задач Коши для уравнений Кортевега - де Вриза и sin-Гордона представлен метод обратной задачи рассеяния. Для ряда других нелинейных дифференциальных уравнений предложены... (More)

The summer science school of modern astrophysics was held between July 15--26, 2014, in Zelenogorsk, near Saint Petersburg.

Forty young scientists from Russia, Armenia, Vietnam, Italy, Finland, Germany, India, Turkey, and Uzbekistan participated in the school. They were all selected by the organizing... (More)

This book provides a comprehensive exposition of completely integrable, partially integrable and superintegrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. In particular, this is the case of non-autonomous integrable Hamiltonian systems and integrable... (More)

Diagrammatic methods are applied to strongly interacting electron systems. Several problems are studied in the atomic representation. It is assumed that electron-electron interaction in an atom is stronger that the interaction between electrons belonging to different atoms. The theory of high-temperature... (More)

N Differential prolongations are usually obtained by means of differentiation and jets of mappings which are, in one way or another, related to local coordinates. The present book sets the foundation of prolongation theory on iterated tangent bundles, in a coordinate-free manner. Lie-Cartan calculus,... (More)

This publication contains the English translation of the corrected text of two articles (I, II) by G.L.Stavraki and S.N.Ganebnykh from the Computing Centre of RAS.

In the article I the author develops a model of space-time, proposed by G.L.Stavraki in 2005 (Grav.&Cosmol., V.12, 227--230, 2006) and... (More)

This book is devoted to the processes of elastic and inelastic hadron-nucleus interactions at moderate (  1 GeV) and high energies. After short discussion of the main properties of atomic nuclei we present the standard Glauber theory for elastic and quasielastic hadron-nucleus and nucleus-nucleus... (More)

The present volume contains selected articles published in the scientific journal "Hypercomplex Numbers in Geometry and Physics" (numbers 1-6). The topics covered by the included contributions range from hypercomplex algebras to associated Finsler geometries, focusing on the commutative-associative algebras... (More)

The monograph contains the results of the program of the geometrization of the equations of physics advanced by Einstein at the beginning of the 20th century and developed by the author who gives the idea of the universal principle of relativity and the theory of physical vacuum and analyses theoretical... (More)

Ce deuxiàme tome du cours bien connu de Physique théorique de L. Landau et E. Lifchitz est consacré d'une part а la théorie du champ électromagnétique et d'autre part а la théorie de la gravitation. L'exposé de la théorie du champ électromagnétique fondée sur la théorie de la relativité restreinte ne... (More)

This book looks at motion of particles using mathematical methods of physical observable values in General Relativity. It is shown that aside for mass-bearing particles and light-like particles "zero-particles" can exist in fully degenerated space-time (zero-space). For a regular observer zero-particles... (More)

Математическая физика - один из важнейших разделов фундаментальных наук. Ее методы проникают почти во все области современного естествознания и техники. Энциклопедия "Математическая физика" отражает основные и перспективные направления этой науки. Она содержит вопросы классической и квантовой механики,... (More)

The book builds theory of motion of charged particles with spin in four-dimensional pseudo-Riemannian space. The theory employs the mathematical apparatus of chronometric invariants by A.L. Zelmanov (physical observable values in the General Theory of Relativity). Numerous special effects in electrodynamics,... (More)

The first part of the book describes the relativity of noninertial (accelerated and rotating) reference frames tied with real bodies. The description is based on the space of events of four-dimensional oriented points. The second part presents a geometrical model of strong interaction built as a branch... (More)

Fundamental and derived physical quantities are geometrized on the basis of the hypothesis of global stationary state of our Universe. A new (L) system of physical quantities based on a single quantity (length) is created and developed. Numerical values of seven base units as well as fundamental physical... (More)

В книгу включены избранные научные работы академика Е.С. Фрадкина, выполненные им в Физическом институте им. П.Н. Лебедева РАН в 1949-1999 гг. Широта научных интересов Е.С. Фрадкина и его эрудиция позволили ему внести фундаментальный вклад во многие разделы теоретической физики: теорию квантовых... (More)

An accessible and pedagogical introduction to the subject, this book provides a detailed and self-contained exposition of the main concepts of string theory. The first part deals with the basic concepts, reviewing special relativity and electromagnetism while introducing the concept of extra dimensions.... (More)