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Darboux Transformations in Integrable Systems Theory and their Applications to Geometry /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Dordrecht :
Springer Netherlands : Imprint: Springer,
2005.
|
| Edición: | 1st ed. 2005. |
| Colección: | Mathematical Physics Studies,
26 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-1-4020-3088-8 | ||
| 003 | DE-He213 | ||
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| 008 | 100301s2005 ne | s |||| 0|eng d | ||
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| 024 | 7 | |a 10.1007/1-4020-3088-6 |2 doi | |
| 050 | 4 | |a QC19.2-20.85 | |
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| 100 | 1 | |a Gu, Chaohao. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Darboux Transformations in Integrable Systems |h [electronic resource] : |b Theory and their Applications to Geometry / |c by Chaohao Gu, Anning Hu, Zixiang Zhou. |
| 250 | |a 1st ed. 2005. | ||
| 264 | 1 | |a Dordrecht : |b Springer Netherlands : |b Imprint: Springer, |c 2005. | |
| 300 | |a X, 308 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Mathematical Physics Studies, |x 2352-3905 ; |v 26 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 1 | 4 | |a Theoretical, Mathematical and Computational Physics. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Differential Geometry. |
| 700 | 1 | |a Hu, Anning. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Zhou, Zixiang. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9789048101818 |
| 776 | 0 | 8 | |i Printed edition: |z 9789048167883 |
| 776 | 0 | 8 | |i Printed edition: |z 9781402030871 |
| 830 | 0 | |a Mathematical Physics Studies, |x 2352-3905 ; |v 26 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/1-4020-3088-6 |z Texto Completo |
| 912 | |a ZDB-2-PHA | ||
| 912 | |a ZDB-2-SXP | ||
| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||