A Memoir On Integrable Systems PDF Download
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Author | : Yuri Fedorov |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2017-03-14 |
Genre | : Mathematics |
ISBN | : 9783540590002 |
Download A Memoir on Integrable Systems Book in PDF, ePub and Kindle
This book considers the larger class of systems which are not (at least a priori) Hamiltonian but possess tensor invariants, in particular, an invariant measure. Several integrability theorems related to the existence of tensor invariants are formulated, and the authors illustrate the geometrical background of some classical and new hierarchies of integrable systems and give their explicit solution in terms of theta-functions. Most of the results discussed have not been published before, making this book immensely useful both to specialists in analytical dynamics who are interested in integrable problems and those in algebraic geometry who are looking for applications.
Author | : Yuri Fedorov |
Publisher | : Springer |
Total Pages | : 280 |
Release | : 2010-11-15 |
Genre | : Mathematics |
ISBN | : 9783540863519 |
Download A Memoir on Integrable Systems Book in PDF, ePub and Kindle
This book considers the larger class of systems which are not (at least a priori) Hamiltonian but possess tensor invariants, in particular, an invariant measure. Several integrability theorems related to the existence of tensor invariants are formulated, and the authors illustrate the geometrical background of some classical and new hierarchies of integrable systems and give their explicit solution in terms of theta-functions. Most of the results discussed have not been published before, making this book immensely useful both to specialists in analytical dynamics who are interested in integrable problems and those in algebraic geometry who are looking for applications.
Author | : Ahmed Lesfari |
Publisher | : John Wiley & Sons |
Total Pages | : 340 |
Release | : 2022-06-22 |
Genre | : Mathematics |
ISBN | : 1119988578 |
Download Integrable Systems Book in PDF, ePub and Kindle
This book illustrates the powerful interplay between topological, algebraic and complex analytical methods, within the field of integrable systems, by addressing several theoretical and practical aspects. Contemporary integrability results, discovered in the last few decades, are used within different areas of mathematics and physics. Integrable Systems incorporates numerous concrete examples and exercises, and covers a wealth of essential material, using a concise yet instructive approach. This book is intended for a broad audience, ranging from mathematicians and physicists to students pursuing graduate, Masters or further degrees in mathematics and mathematical physics. It also serves as an excellent guide to more advanced and detailed reading in this fundamental area of both classical and contemporary mathematics.
Author | : Z. Jiang |
Publisher | : |
Total Pages | : |
Release | : 1987 |
Genre | : |
ISBN | : |
Download Integrable Systems and Integrability Book in PDF, ePub and Kindle
Author | : Ron Donagi |
Publisher | : Cambridge University Press |
Total Pages | : 421 |
Release | : 2020-04-02 |
Genre | : Mathematics |
ISBN | : 1108715745 |
Download Integrable Systems and Algebraic Geometry Book in PDF, ePub and Kindle
A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
Author | : I. D. Marshall |
Publisher | : |
Total Pages | : |
Release | : 1987 |
Genre | : |
ISBN | : |
Download Integrable Systems - Some Worked Examples Book in PDF, ePub and Kindle
Author | : Martin Ulrich Schmidt |
Publisher | : American Mathematical Soc. |
Total Pages | : 127 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 082180460X |
Download Integrable Systems and Riemann Surfaces of Infinite Genus Book in PDF, ePub and Kindle
This memoir develops the spectral theory of the Lax operators of nonlinear Schrödinger-like partial differential equations with periodic boundary conditions. Their special curves, i.e., the common spectrum with the periodic shifts, are generically Riemann surfaces of infinite genus. The points corresponding to infinite energy are added. The resulting spaces are no longer Riemann surfaces in the usual sense, but they are quite similar to compact Riemann surfaces.
Author | : Alekseĭ Viktorovich Bolsinov |
Publisher | : |
Total Pages | : 360 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : |
Download Topological Methods in the Theory of Integrable Systems Book in PDF, ePub and Kindle
This volume comprises selected papers on the subject of the topology of integrable systems theory which studies their qualitative properties, singularities and topological invariants. The aim of this volume is to develop the classification theory for integrable systems with two degrees of freedom which would allow for distinguishing such systems up to two natural equivalence relations. The first one is the equivalence of the associated foliations into Liouville tori. The second is the usual orbital equivalence. Also, general methods of classification theory are applied to the classical integrable problems in rigid body dynamics. In addition, integrable geodesic flows on two-dimensional surfaces are analysed from the viewpoint of the topology of integrable systems.
Author | : Decio Levi |
Publisher | : American Mathematical Soc. |
Total Pages | : 468 |
Release | : 2000-06-15 |
Genre | : Mathematics |
ISBN | : 9780821870211 |
Download SIDE III Book in PDF, ePub and Kindle
This volume contains the proceedings of the third meeting on ``Symmetries and Integrability of Difference Equations'' (SIDE III). The collection includes original results not published elsewhere and articles that give a rigorous but concise overview of their subject, and provides a complete description of the state of the art. Research in the field of difference equations--often referred to more generally as discrete systems--has undergone impressive development in recent years. In this collection the reader finds the most important new developments in a number of areas, including: Lie-type symmetries of differential-difference and difference-difference equations, integrability of fully discrete systems such as cellular automata, the connection between integrability and discrete geometry, the isomonodromy approach to discrete spectral problems and related discrete Painleve equations, difference and q-difference equations and orthogonal polynomials, difference equations and quantum groups, and integrability and chaos in discrete-time dynamical systems. The proceedings will be valuable to mathematicians and theoretical physicists interested in the mathematical aspects and/or in the physical applications of discrete nonlinear dynamics, with special emphasis on the systems that can be integrated by analytic methods or at least admit special explicit solutions. The research in this volume will also be of interest to engineers working in discrete dynamics as well as to theoretical biologists and economists.
Author | : Boris Feigin |
Publisher | : World Scientific |
Total Pages | : 517 |
Release | : 2010-10-29 |
Genre | : Mathematics |
ISBN | : 9814462926 |
Download New Trends In Quantum Integrable Systems - Proceedings Of The Infinite Analysis 09 Book in PDF, ePub and Kindle
The present volume is the result of the international workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. As a continuation of the RIMS Research Project “Method of Algebraic Analysis in Integrable Systems” in 2004, the workshop's aim was to cover exciting new developments that have emerged during the recent years.Collected here are research articles based on the talks presented at the workshop, including the latest results obtained thereafter. The subjects discussed range across diverse areas such as correlation functions of solvable models, integrable models in quantum field theory, conformal field theory, mathematical aspects of Bethe ansatz, special functions and integrable differential/difference equations, representation theory of infinite dimensional algebras, integrable models and combinatorics.Through these topics, the reader can learn about the most recent developments in the field of quantum integrable systems and related areas of mathematical physics.