Chaohao Gu, Anning Hu, Zixiang Zhou

Darboux Transformations in Integrable Systems (eBook, PDF)

Theory and their Applications to Geometry

• Format: PDF

Produktdetails

• Verlag: Springer Netherland
• Erscheinungstermin: 9. Juli 2006
• Englisch
• ISBN-13: 9781402030888
• Artikelnr.: 37357222

Inhaltsangabe

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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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.

Rezensionen

From the reviews: "The book is concerned with mutual relations between the differential geometry of surfaces and the theory of integrable nonlinear systems of partial differential equations. It concentrates on the Darboux matrix method for constructing explicit solutions to various integrable nonlinear PDEs. ... This book can be recommended for students and researchers who are interested in a differential-geometric approach to integrable nonlinear PDE's." (Jun-ichi Inoguchi, Mathematical Reviews, Issue 2006 i)