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...
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| Principais autores: | , , |
|---|---|
| Autor Corporativo: | |
| Formato: | Recurso Eletrônico livro eletrônico |
| Idioma: | English |
| Publicado em: |
Dordrecht :
Springer Netherlands : Imprint: Springer,
2005.
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| Edição: | 1st ed. 2005. |
| coleção: | Mathematical Physics Studies,
26 |
| Assuntos: | |
| Acesso em linha: | https://doi.org/10.1007/1-4020-3088-6 |
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Sumário:
- 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.