| 书目名称 | Darboux Transformations in Integrable Systems |
| 副标题 | Theory and their App |
| 编辑 | Chaohao Gu,Hesheng Hu,Zixiang Zhou |
| 视频video | |
| 概述 | Gives a concise and clear presentation of Darboux Transformations |
| 丛书名称 | Mathematical Physics Studies |
| 图书封面 |  |
| 描述 | .The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called integrable systems and play important roles in mechanics, physics and differential geometry...This book presents the Darboux transformations in matrix form and provides purely algebraic algorithms for constructing the explicit solutions. A basis for using symbolic computations to obtain the explicit exact solutions for many integrable systems is established. Moreover, the behavior of simple and multi-solutions, even in multi-dimensional cases, can be elucidated clearly. The method covers a series of important equations such as various kinds of AKNS systems in R.1+n., harmonic maps from 2-dimensional manifolds, self-dual Yang-Mills fields and the generalizations to higher dimensional case, theory of line congruences in three dimensions or higher dimensional space etc. All these cases are explained in detail. This book contains many results that were obtained by the authors in the past few years...Audience:..The book has been written for specialists, teachers and graduate students (or undergraduate students of higher grade) i |
| 出版日期 | Book 2005 |
| 关键词 | Darboux transformations; Minkowski space; differential equations; differential geometry; integrable syst |
| 版次 | 1 |
| doi | https://doi.org/10.1007/1-4020-3088-6 |
| isbn_softcover | 978-90-481-6788-3 |
| isbn_ebook | 978-1-4020-3088-8Series ISSN 0921-3767 Series E-ISSN 2352-3905 |
| issn_series | 0921-3767 |
| copyright | Springer Science+Business Media B.V. 2005 |
发表于 2025-3-21 16:54:25
