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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Gu, Chaohao (Autor), Hu, Anning (Autor), Zhou, Zixiang (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Mathematical Physics Studies, 26
Temas:
Mathematical physics.
Geometry, Differential.
Theoretical, Mathematical and Computational Physics.
Mathematical Methods in Physics.
Differential Geometry.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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