Darboux Transformations in Integrable Systems is popular PDF and ePub book, written by Chaohao Gu in 2006-07-09, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Darboux Transformations in Integrable Systems can be Read Online from any device for your convenience.
Darboux Transformations in Integrable Systems Book PDF Summary
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 R1+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) in mathematics and physics.
Detail Book of Darboux Transformations in Integrable Systems PDF
- Author : Chaohao Gu
- Release : 09 July 2006
- Publisher : Springer Science & Business Media
- ISBN : 9781402030888
- Genre : Science
- Total Page : 317 pages
- Language : English
- PDF File Size : 19,8 Mb
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