| 书目名称 | Integrability |
| 编辑 | Alexander V. Mikhailov |
| 视频video | |
| 概述 | Leading authors, including Fields Medallist Serge Novikov.Suited for students and newcomers.Addresses a hot topic in mathematical physics.Includes supplementary material: |
| 丛书名称 | Lecture Notes in Physics |
| 图书封面 |  |
| 描述 | The principal aim of the book is to give a comprehensive account of the variety of approaches to such an important and complex concept as Integrability. Dev- oping mathematical models, physicists often raise the following questions: whether the model obtained is integrable or close in some sense to an integrable one and whether it can be studied in depth analytically. In this book we have tried to c- ate a mathematical framework to address these issues, and we give descriptions of methods and review results. In the Introduction we give a historical account of the birth and development of the theory of integrable equations, focusing on the main issue of the book – the concept of integrability itself. A universal de nition of Integrability is proving to be elusive despite more than 40 years of its development. Often such notions as “- act solvability” or “regular behaviour” of solutions are associated with integrable systems. Unfortunately these notions do not lead to any rigorous mathematical d- inition. A constructive approach could be based upon the study of hidden and rich algebraic or analytic structures associated with integrable equations. The requi- ment of existence of eleme |
| 出版日期 | Book 2009 |
| 关键词 | Conservation laws; Integrable systems; Painleve property; Solitons; Symmetries; differential equation; mat |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-540-88111-7 |
| isbn_softcover | 978-3-642-09990-8 |
| isbn_ebook | 978-3-540-88111-7Series ISSN 0075-8450 Series E-ISSN 1616-6361 |
| issn_series | 0075-8450 |
| copyright | Springer-Verlag Berlin Heidelberg 2009 |
发表于 2025-3-21 19:32:50
