Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications
Proceedings of the NSF Research Workshop on Contact Transformations, held in Nashville, Tennessee, 1974
Published on 1. June 1976
Book
Paperback/Softback
VIII, 295 pages
978-3-540-07687-2 (ISBN)
Description
Proceedings of the NSF Research Workshop on Contact Transformations, Held in Nashville, Tennessee, 1974
More details
Series
Edition
1st ed. 1976. 2nd printing 1989
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 295 p.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 17 mm
Weight
528 gr
ISBN-13
978-3-540-07687-2 (9783540076872)
DOI
10.1007/BFb0081158
Schweitzer Classification
Content
Experiments on solitary waves.- Stimulated Raman and Brillouin scattering and the inverse method.- Direct method of finding exact solutions of nonlinear evolution equations.- Bäcklund transformations at the turn of the century.- The application of Bäcklund transforms to physical problems.- On applications of generalized Bäcklund transformations to continuum mechanics.- Some old and new techniques for the practical use of exterior differential forms.- Bäcklund transformation of potentials of the Korteweg-deVries equation and the interaction of solitons with cnoidal waves.- Pseudopotentials and their applications.- Variational problems and Bäcklund transformations associated with the sine-gordon and Korteweg-deVries equations and their extensions.- The interrelation between Bäcklund transformations and the inverse scattering transform.- Relation between Bäcklund transformations and inverse scattering problems.- Some comments on Bäcklund transformations, canonical transformations, and the inverse scattering method.