Contents

• Introduction
  • SURVEY AND DEFINITIONS
  • EXAMPLES AND COUNTER-EXAMPLES
  
  
• The Singular Manifold Method
  • THE KORTEWEG-DE VRIES EQUATION
  • THE BOUSSINESQ EQUATION
  
  
• Conditional or Partial Integrability
• Periodic fixed points of Bäcklund transformations
  • THE KdV FIXED POINTS
  • THE KAC-VAN MOERBEKE SYSTEM
  • FACTORING THE KdV FLOW
  • TRANSFORMATION TO CANONICAL FORM
  
  
• Caustic surfaces, and Factoring the Laplace-Darboux transformation
  • BÄCKLUND TRANSFORMATIONS
  • THE LAPLACE-DARBOUX TRANSFORMATION
  • FACTORING THE TODA LATTICE
  
  
• Bibliography
• About this document ...