9789048167883 - Darboux Transformations in Integrable Systems: Theory and Their Applications to Geometry (mathematical Physics Studies, 26) by Gu, Chaohao; Hu, Anning; Zhou, Zixiang (11 results)
Language: English
Published by Springer, 2010
Series: Mathematical Physics Studies, Book 3 of 24. Book 3 of 24 - Mathematical Physics Studies
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Published by Springer, 2010
Series: Mathematical Physics Studies, Book 3 of 24. Book 3 of 24 - Mathematical Physics Studies
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Published by Springer, 2010
Series: Mathematical Physics Studies, Book 3 of 24. Book 3 of 24 - Mathematical Physics Studies
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Taschenbuch. Condition: Neu. Darboux Transformations in Integrable Systems | Theory and their Applications to Geometry | Chaohao Gu (u. a.) | Taschenbuch | Mathematical Physics Studies | x | Englisch | 2010 | Springer | EAN 9789048167883 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelbe…rg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Published by Springer, 2005
Series: Mathematical Physics Studies, Book 3 of 24. Book 3 of 24 - Mathematical Physics Studies
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Published by Springer, Springer, 2010
Series: Mathematical Physics Studies, Book 3 of 24. Book 3 of 24 - Mathematical Physics Studies
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 geome…try.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.
Language: English
Published by Springer, 2010
Series: Mathematical Physics Studies, Book 3 of 24. Book 3 of 24 - Mathematical Physics Studies
- Softcover
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Published by Springer Netherlands Okt 2010, 2010
Series: Mathematical Physics Studies, Book 3 of 24. Book 3 of 24 - Mathematical Physics Studies
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 di…fferential 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. 320 pp. Englisch.
Language: English
Published by Springer Netherlands, 2010
Series: Mathematical Physics Studies, Book 3 of 24. Book 3 of 24 - Mathematical Physics Studies
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Gives a concise and clear presentation of Darboux TransformationsPreface.- 1. 1+1 Dimensional Integrable Systems.- 1.1 KdV equation, MKdV equation and their Darboux transformations. 1.1.1 Original Darboux transformati…on. 1.1.2 Darboux transformation for.
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Published by Springer, 2010
Series: Mathematical Physics Studies, Book 3 of 24. Book 3 of 24 - Mathematical Physics Studies
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Condition: New. Print on Demand pp. 322 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam.
Language: English
Published by Springer, 2010
Series: Mathematical Physics Studies, Book 3 of 24. Book 3 of 24 - Mathematical Physics Studies
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Condition: New. PRINT ON DEMAND pp. 322.
Language: English
Published by Springer, Springer Okt 2010, 2010
Series: Mathematical Physics Studies, Book 3 of 24. Book 3 of 24 - Mathematical Physics Studies
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -1+1 Dimensional Integrable Systems.- 2+1 Dimensional Integrable Systems.- N + 1 Dimensional Integrable Systems.- Surfaces of Constant Curvature, Bäcklund Congruences and Darboux Transformation.- Darboux Transformation and Harmonic Map.-… Generalized Self-Dual Yang-Mills Equations and Yang-Mills-Higgs Equations.- Two Dimensional Toda Equations and Laplace Sequences of Surfaces in Projective Space.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 320 pp. Englisch.
