WorldCat Identities

Rejman, Aleksej G.

Overview
Works: 10 works in 25 publications in 1 language and 94 library holdings
Roles: Translator, Author, tra
Publication Timeline
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Most widely held works by Aleksej G Rejman
Hamiltonian methods in the theory of solitons by L. D Faddeev( Book )

10 editions published between 1987 and 2007 in English and held by 45 WorldCat member libraries worldwide

The main characteristic of this now classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory. The nonlinear Schrodinger equation, rather than the (more usual) KdV equation, is considered as a main example. The investigation of this equation forms the first part of the book. The second part is devoted to such fundamental models as the sine-Gordon equation, Heisenberg equation, Toda lattice, etc, the classification of integrable models and the methods for constructing their solutions
Integrable systems of classical mechanics and Lie algebras by A. M Perelomov( Book )

4 editions published in 1990 in English and Undetermined and held by 20 WorldCat member libraries worldwide

Integrable systems of classical mechanics and Lie algebras : Volume I by A. M Perelomov( Book )

2 editions published in 1990 in English and held by 18 WorldCat member libraries worldwide

This book offers a systematic presentation of a variety of methods and results concerning integrable systems of classical mechanics. The investigation of integrable systems was an important line of study in the last century, but up until recently only a small number of examples with two or more degrees of freedom were known. In the last fifteen years however, remarkable progress has been made in this field via the so-called isospectral deformation method which makes extensive use of group-theoretical concepts. The book focuses mainly on the development and applications of this new method, and also gives a fairly complete survey of the older classic results. Chapter 1 contains the necessary background material and outlines the isospectral deformation method in a Lie-algebraic form. Chapter 2 gives an account of numerous previously known integrable systems. Chapter 3 deals with many-body systems of generalized Calogero-Moser type, related to root systems of simple Lie algebras. Chapter 4 is devoted to the Toda lattice and its various modifications seen from the group-theoretic point of view. Chapter 5 investigates some additional topics related to many-body systems. The book will be valuable to students as well as researchers
Dynamical systems by A. T Fomenko( )

2 editions published between 1993 and 1994 in English and held by 6 WorldCat member libraries worldwide

This volume contains five surveys on dynamical systems. The first one deals with nonholonomic mechanics and gives an updated and systematic treatment ofthe geometry of distributions and of variational problems with nonintegrable constraints. The modern language of differential geometry used throughout the survey allows for a clear and unified exposition of the earlier work on nonholonomic problems. There is a detailed discussion of the dynamical properties of the nonholonomic geodesic flow and of various related concepts, such as nonholonomic exponential mapping, nonholonomic sphere, etc. Other surveys treat various aspects of integrable Hamiltonian systems, with an emphasis on Lie-algebraic constructions. Among the topics covered are: the generalized Calogero-Moser systems based on root systems of simple Lie algebras, a ge- neral r-matrix scheme for constructing integrable systems and Lax pairs, links with finite-gap integration theory, topologicalaspects of integrable systems, integrable tops, etc. One of the surveys gives a thorough analysis of a family of quantum integrable systems (Toda lattices) using the machinery of representation theory. Readers will find all the new differential geometric and Lie-algebraic methods which are currently used in the theory of integrable systems in this book. It will be indispensable to graduate students and researchers in mathematics and theoretical physics
Integrable systems of classical mechanics and Lie algebras by A. M Perelomov( Book )

1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide

New results on the Kowalewski top: a Lax pair, genaralizations and algebraic-geometric solutions by A. G Reyman( )

in English and held by 1 WorldCat member library worldwide

Integrable systems of classical mechanics and lie algebras by A. M Perelomov( Book )

1 edition published in 1990 in English and held by 1 WorldCat member library worldwide

Group-theoretical methods in the theory of finite-dimensional integrable systems by A. G Reyman( )

1 edition published in 1994 in English and held by 1 WorldCat member library worldwide

With My Guitar And You by Snyder( Recording )

and held by 0 WorldCat member libraries worldwide

She Loves Me Not by Reyman( Recording )

and held by 0 WorldCat member libraries worldwide

 
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.72 (from 0.60 for Hamiltonia ... to 1.00 for With My Gu ...)

Integrable systems of classical mechanics and Lie algebras Integrable systems of classical mechanics and Lie algebras : Volume I Integrable systems of classical mechanics and Lie algebras
Covers
Integrable systems of classical mechanics and Lie algebrasIntegrable systems of classical mechanics and Lie algebras : Volume IDynamical systemsIntegrable systems of classical mechanics and Lie algebras
Alternative Names
Reïman, Alekseï G.

Reyman, A. G.

Reyman Alexey G.

Languages
English (21)