TY - DATA AU - Coley, A. A. TI - Backlund and Darboux transformations: the geometry of solitons : AARMS-CRM Workshop, June 4-9, 1999, Halifax, N.S., Canada T2 - CRM Proceedings and Lecture Notes, SN - 9781470439439 (online) PY - 2001/// CY - Providence, R.I. PB - American Mathematical Society KW - Backlund transformations KW - Darboux transformations KW - Geometry, Differential KW - Solitons N1 - Includes bibliographical references; Backlund transformations of the higher order Painleve equations ; Dressing method and Backlund and Darboux transformations ; The classical geometry of Backlund transformations. Introduction to applications in soliton theory ; An introduction to integrable difference and differential geometries: Affine spheres, their natural generalization and discretization ; On Bianchi and Backlund transformations of two dimensional surfaces in four dimensional Euclidean space ; Group invariant solutions without transversality and the principle of symmetric criticality ; Multi-component matrix KP hierarchies as symmetry-enhanced scalar KP hierarchies and their Darboux-Backlund solutions ; The Darboux-Backlund transformation and Clifford algebras ; On discrete Painleve equations as Backlund transformations ; A Backlund transformation for timelike surfaces of constant mean curvature in UR - http://www.ams.org/crmp/029 ER -