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| Author | : Vladimir Gerdjikov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 645 |
| Release | : 2008-06-02 |
| Genre | : Science |
| ISBN | : 3540770534 |
This book presents a detailed derivation of the spectral properties of the Recursion Operators allowing one to derive all the fundamental properties of the soliton equations and to study their hierarchies.
| Author | : Henrik Aratyn |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 436 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 9401007209 |
Proceedings of the NATO Advanced Research Workshop, Chicago, USA, July 22-26, 2000
| Author | : Yuri B. Suris |
| Publisher | : Birkhäuser |
| Total Pages | : 1078 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034880162 |
An exploration of the theory of discrete integrable systems, with an emphasis on the following general problem: how to discretize one or several of independent variables in a given integrable system of differential equations, maintaining the integrability property? This question (related in spirit to such a modern branch of numerical analysis as geometric integration) is treated in the book as an immanent part of the theory of integrable systems, also commonly termed as the theory of solitons. Most of the results are only available from recent journal publications, many of them are new. Thus, the book is a kind of encyclopedia on discrete integrable systems. It unifies the features of a research monograph and a handbook. It is supplied with an extensive bibliography and detailed bibliographic remarks at the end of each chapter. Largely self-contained, it will be accessible to graduate and post-graduate students as well as to researchers in the area of integrable dynamical systems.
| Author | : Alan C. Newell |
| Publisher | : SIAM |
| Total Pages | : 259 |
| Release | : 1985-06-01 |
| Genre | : Technology & Engineering |
| ISBN | : 0898711967 |
A discussion of the soliton, focusing on the properties that make it physically ubiquitous and the soliton equation mathematically miraculous.
| Author | : Boris A Kuperschmidt |
| Publisher | : World Scientific |
| Total Pages | : 399 |
| Release | : 1990-10-25 |
| Genre | : Science |
| ISBN | : 9814506737 |
Some of the most active practitioners in the field of integrable systems have been asked to describe what they think of as the problems and results which seem to be most interesting and important now and are likely to influence future directions. The papers in this collection, representing their authors' responses, offer a broad panorama of the subject as it enters the 1990's.
| Author | : Ron Donagi |
| Publisher | : Springer |
| Total Pages | : 496 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540477063 |
The aim of this CIME Session was to review the state of the art in the recent development of the theory of integrable systems and their relations with quantum groups. The purpose was to gather geometers and mathematical physicists to allow a broader and more complete view of these attractive and rapidly developing fields. The papers contained in this volume have at the same time the character of survey articles and of research papers, since they contain both a survey of current problems and a number of original contributions to the subject.
| Author | : Claude Albert |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 219 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461241340 |
The articles in this volume are an outgrowth of a colloquium "Systemes Integrables et Feuilletages," which was held in honor of the sixtieth birthday of Pierre Molino. The topics cover the broad range of mathematical areas which were of keen interest to Molino, namely, integral systems and more generally symplectic geometry and Poisson structures, foliations and Lie transverse structures, transitive structures, and classification problems.
| Author | : Norbert Euler |
| Publisher | : CRC Press |
| Total Pages | : 367 |
| Release | : 2021-09-07 |
| Genre | : Mathematics |
| ISBN | : 1000423301 |
The third volume in this sequence of books consists of a collection of contributions that aims to describe the recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). Nonlinear Systems and Their Remarkable Mathematical Structures: Volume 3, Contributions from China just like the first two volumes, consists of contributions by world-leading experts in the subject of nonlinear systems, but in this instance only featuring contributions by leading Chinese scientists who also work in China (in some cases in collaboration with western scientists). Features Clearly illustrate the mathematical theories of nonlinear systems and its progress to both the non-expert and active researchers in this area Suitable for graduate students in Mathematics, Applied Mathematics and some of the Engineering sciences Written in a careful pedagogical manner by those experts who have been involved in the research themselves, and each contribution is reasonably self-contained
| Author | : Hongbo Li |
| Publisher | : Springer |
| Total Pages | : 457 |
| Release | : 2005-06-20 |
| Genre | : Computers |
| ISBN | : 3540321195 |
MathematicsMechanization consistsoftheory,softwareandapplicationofc- puterized mathematical activities such as computing, reasoning and discovering. ItsuniquefeaturecanbesuccinctlydescribedasAAA(Algebraization,Algori- mization, Application). The name “Mathematics Mechanization” has its origin in the work of Hao Wang (1960s), one of the pioneers in using computers to do research in mathematics, particularly in automated theorem proving. Since the 1970s, this research direction has been actively pursued and extensively dev- oped by Prof. Wen-tsun Wu and his followers. It di?ers from the closely related disciplines like Computer Mathematics, Symbolic Computation and Automated Reasoning in that its goal is to make algorithmic studies and applications of mathematics the major trend of mathematics development in the information age. The International Workshop on Mathematics Mechanization (IWMM) was initiated by Prof. Wu in 1992, and has ever since been held by the Key L- oratory of Mathematics Mechanization (KLMM) of the Chinese Academy of Sciences. There have been seven workshops of the series up to now. At each workshop, several experts are invited to deliver plenary lectures on cutting-edge methods and algorithms of the selected theme. The workshop is also a forum for people working on related subjects to meet, collaborate and exchange ideas.
| Author | : V. Babelon |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 368 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 1461203155 |
This book constitutes the proceedings of the International Conference on Integrable Systems in memory of J.-L. Verdier. It was held on July 1-5, 1991 at the Centre International de Recherches Mathematiques (C.I.R.M.) at Luminy, near Marseille (France). This collection of articles, covering many aspects of the theory of integrable Hamiltonian systems, both finite and infinite-dimensional, with an emphasis on the algebro-geometric meth ods, is published here as a tribute to Verdier who had planned this confer ence before his death in 1989 and whose active involvement with this topic brought integrable systems to the fore as a subject for active research in France. The death of Verdier and his wife on August 25, 1989, in a car accident near their country house, was a shock to all of us who were acquainted with them, and was very deeply felt in the mathematics community. We knew of no better way to honor Verdier's memory than to proceed with both the School on Integrable Systems at the C.I.M.P.A. (Centre International de Mathematiques Pures et Appliquees in Nice), and the Conference on the same theme that was to follow it, as he himself had planned them.
