Geometry and integrability

Most integrable systems owe their origin to problems in geometry and they are best understood in a geometrical context. This is especially true today when the heroic days of KdV-type integrability are over. Problems that can be solved using the inverse scattering transformation have reached the poin...

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Bibliographic Details
Other Authors: Mason, L. J. (Editor), Nutku, Yavuz (Editor)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2003
Series:London Mathematical Society lecture note series
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Table of Contents:
  • Introduction / Lionel Mason
  • Differential equations featuring many periodic solutions / F. Calogero
  • Geometry and integrability / R.Y. Donagi
  • The anti self-dual Yang-Mills equations and their reductions / Lionel Mason
  • Curvature and integrability for Bianchi-type IX metrics / K.P. Tod
  • Twistor theory for integrable equations / N.M.J. Woodhouse
  • Nonlinear equations and the d-bar problem / P. Santini