| 000 -LEADER |
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| fixed length control field |
03692nmm a2200205Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
230306s9999||||xx |||||||||||||||||und|| |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470439439 (online) |
| 245 #0 - TITLE STATEMENT |
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| Title |
Backlund and Darboux transformations : |
| Remainder of title |
the geometry of solitons : AARMS-CRM Workshop, June 4-9, 1999, Halifax, N.S., Canada |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
Providence, R.I. : |
| Name of publisher, distributor, etc. |
American Mathematical Society, |
| Date of publication, distribution, etc. |
c2001. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (xx, 436 p. : ill.) |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
CRM Proceedings and Lecture Notes, |
| Volume/sequential designation |
v. 29 |
| International Standard Serial Number |
2472-4890 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references. |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Title |
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 |
| -- |
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 |
| -- |
|
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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 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Backlund transformations |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Darboux transformations |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Geometry, Differential |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Solitons |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Coley, A. A. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="http://www.ams.org/crmp/029">http://www.ams.org/crmp/029</a> |
