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020			_a9781470439439 (online)
245		0	_aBacklund and Darboux transformations : _bthe geometry of solitons : AARMS-CRM Workshop, June 4-9, 1999, Halifax, N.S., Canada
260			_aProvidence, R.I. : _bAmerican Mathematical Society, _cc2001.
300			_a1 online resource (xx, 436 p. : ill.)
490			_aCRM Proceedings and Lecture Notes, _vv. 29 _x2472-4890
504			_aIncludes bibliographical references.
505			_tBacklund 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 _\mathbb R^1,2 _ ; On Ribaucour transformations ; The Ribaucour congruences of spheres within Lie sphere geometry ; Backlund transformations for the reduced Maxwell-Bloch equations ; Transformations of quasilinear systems originating from the projective theory of congruences ; Backlund links between different analytic descriptions of constant mean curvature surfaces ; On the integrability of Weingarten surfaces ; A new immersion formula for surfaces on Lie algebras and integrable equations ; Difficulties with the SDiff(2) Toda equation ; Superposition formulas based on nonprimitive group action ; Symmetries of differential difference equations and Lie algebra contractions ; Backlund transformations from the bilinear viewpoint ; Towards the Lax formulation of SU(2) principal models with nonconstant metric ; Transcendental solutions of the sine-Gordon equation ; Three dimensional skyrmions and harmonic maps ; Induced surfaces and their integrable deformations ; Properties of a class of slowly decaying oscillatory solutions of KdV ; Blending two discrete integrability criteria: Singularity confinement and algebraic entropy ; Backlund transformations of soliton systems from symmetry constraints ; Open problems for the super KdV equations ; Combinatorial aspects of the Darboux transformation ; Backlund transformation and nonlinear superposition formula of the Kaup-Kupershmidt and Tzitzeica equations ; Classification of symmetry-integrable evolution equations ; Integrability of evolution equations and pseudo-spherical surfaces ; Infinitesimal Backlund transformations of _K _-nets. The 2 + 1-dimensional Sinh-Gordon system ; Isothermic surfaces and the Calapso equation: The full Monty ; Backlund transformations induced by symmetries. Application: Discrete mKdV ; Darboux transformation for a spectral problem quadratic in the spectral parameter ; Separation of variables and Darboux transformations ; Backlund transformations as nonlinear ordinary differential, or difference equations with superposition formulas
650			_aBacklund transformations
650			_aDarboux transformations
650			_aGeometry, Differential
650			_aSolitons
700			_aColey, A. A.
856			_uhttp://www.ams.org/crmp/029
999			_c28385 _d28385