Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications

Proceedings of the NSF Research Workshop on Contact Transformations, held in Nashville, Tennessee, 1974
Herausgegeben:Miura, Robert M.

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 515
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-07687-2
• 1976.
• Seitenzahl: 304
• Erscheinungstermin: 1. Juni 1976
• Englisch
• Abmessung: 244mm x 170mm x 17mm
• Gewicht: 500g
• ISBN-13: 9783540076872
• ISBN-10: 3540076875
• Artikelnr.: 25143986

Inhaltsangabe

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.