Darboux Transformations in Integrable Systems : Theory and their Applications to Geometry
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The work Darboux Transformations in Integrable Systems : Theory and their Applications to Geometry represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Darboux Transformations in Integrable Systems : Theory and their Applications to Geometry
Resource Information
The work Darboux Transformations in Integrable Systems : Theory and their Applications to Geometry represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Darboux Transformations in Integrable Systems : Theory and their Applications to Geometry
 Title remainder
 Theory and their Applications to Geometry
 Statement of responsibility
 by Chaohao Gu, Anning Hu, Zixiang Zhou
 Language

 eng
 eng
 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 multisolutions, even in multidimensional 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 2dimensional manifolds, selfdual YangMills 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
 Dewey number

 515.43
 516.3/62
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 Pgzmz4e6Ra4
 239_hmbXxNc
 kXF2SiRlBc
 Language note
 English
 LC call number
 QC19.220.85
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Mathematical Physics Studies,
 Series volume
 26
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 Darboux Transformations in Integrable Systems : Theory and their Applications to Geometry, by Chaohao Gu, Anning Hu, Zixiang Zhou, (electronic resource)
 Darboux Transformations in Integrable Systems : Theory and their Applications to Geometry, by Chaohao Gu, Anning Hu, Zixiang Zhou, (electronic resource)
 Darboux Transformations in Integrable Systems : Theory and their Applications to Geometry, by Chaohao Gu, Anning Hu, Zixiang Zhou, (electronic resource)
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