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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...

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Main Authors: Gu, Chaohao. (Author, http://id.loc.gov/vocabulary/relators/aut), Hu, Anning. (http://id.loc.gov/vocabulary/relators/aut), Zhou, Zixiang. (http://id.loc.gov/vocabulary/relators/aut)
企业作者: SpringerLink (Online service)
格式: 电子 电子书
语言:English
出版: Dordrecht : Springer Netherlands : Imprint: Springer, 2005.
版:1st ed. 2005.
丛编:Mathematical Physics Studies, 26
主题:
Mathematical physics.
Physics.
Differential geometry.
Theoretical, Mathematical and Computational Physics.
Mathematical Methods in Physics.
Differential Geometry.
在线阅读:https://doi.org/10.1007/1-4020-3088-6
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书本目录:
  • 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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