| Preface | p. ix |
| Albert Victor Backlund | p. xiii |
| Gaston Darboux | p. xv |
| List of Participants | p. xvii |
| Introductory Lectures | |
| Backlund Transformations of the Higher Order Painleve Equations | p. 3 |
| Dressing Method and Backlund and Darboux Transformations | p. 29 |
| The Classical Geometry of Backlund Transformations. Introduction to Applications in Soliton Theory | p. 53 |
| An Introduction to Integrable Difference and Differential Geometries: Affine Spheres, Their Natural Generalization and Discretization | p. 69 |
| Original Contributions | |
| On Bianchi and Backlund Transformations of Two Dimensional Surfaces in Four Dimensional Euclidean Space | p. 91 |
| Group Invariant Solutions without Transversality and the Principle of Symmetric Criticality | p. 95 |
| Multi-Component Matrix KP Hierarchies as Symmetry-Enhanced Scalar KP Hierarchies and Their Darboux-Backlund Solutions | p. 109 |
| The Darboux-Backlund Transformation and Clifford Algebras | p. 121 |
| On Discrete Painleve Equations as Backlund Transformations | p. 129 |
| A Backlund Transformation for Timelike Surfaces of Constant Mean Curvature in R[superscript 1,2] | p. 141 |
| On Ribaucour Transformations | p. 151 |
| The Ribaucour Congruences of Spheres Within Lie Sphere Geometry | p. 159 |
| Backlund Transformations for the Reduced Maxwell-Bloch Equations | p. 167 |
| Transformations of Quasilinear Systems Originating from the Projective Theory of Congruences | p. 179 |
| Backlund Links Between Different Analytic Descriptions of Constant Mean Curvature Surfaces | p. 191 |
| On the Integrability of Weingarten Surfaces | p. 199 |
| A New Immersion Formula for Surfaces on Lie Algebras and Integrable Equations | p. 207 |
| Difficulties With the SDiff(2) Toda Equation | p. 217 |
| Superposition Formulas Based on Nonprimitive Group Action | p. 225 |
| Symmetries of Differential Difference Equations and Lie Algebra Contractions | p. 233 |
| Backlund Transformations From the Bilinear Viewpoint | p. 245 |
| Towards the Lax Formulation SU(2) Principal Models with Nonconstant Metric | p. 253 |
| Transcendental Solutions of the Sine-Gordon Equation | p. 261 |
| Three Dimensional Skyrmions and Harmonic Maps | p. 273 |
| Induced Surfaces and Their Integrable Deformations | p. 281 |
| Properties of a Class of Slowly Decaying Oscillatory Solutions of KdV | p. 291 |
| Blending Two Discrete Integrability Criteria: Singularity Confinement and Algebraic Entropy | p. 299 |
| Backlund Transformations of Soliton Systems from Symmetry Constraints | p. 313 |
| Open Problems for the Super KdV Equations | p. 325 |
| Combinatorial Aspects of the Darboux Transformation | p. 335 |
| Backlund Transformation and Nonlinear Superposition Formula of the Kaup-Kupershmidt and Tzitzeica Equations | p. 345 |
| Classification of Symmetry-Integrable Evolution Equations | p. 363 |
| Integrability of Evolution Equations and Pseudo-Spherical Surfaces | p. 373 |
| Infinitesimal Backlund Transformations of K-Nets. The 2 + 1-Dimensional Sinh-Gordon System | p. 385 |
| Isothermic Surfaces and the Calapso Equation: The Full Monty | p. 393 |
| Backlund Transformations Induced by Symmetries Application: Discrete mKdV | p. 405 |
| Darboux Transformation for a Spectral Problem Quadratic in the Spectral Parameter | p. 411 |
| Separation of Variables and Darboux Transformations | p. 419 |
| Backlund Transformations as Nonlinear Ordinary Differential, or Difference Equations with Superposition Formulas | p. 429 |
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