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

Proceedings of the NSF Research Workshop on Contact Transformations, held in Nashville, Tennessee, 1974

304 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein
• ISBN: 9783540076872
• Sprache: Englisch
• Erscheinungsdatum: 01.06.1976
• Größe: 244 x 170 mm
• Verlag: Springer
• Herausgegeben von: Robert M. Miura