Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications (eBook, PDF)

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

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 295
• Erscheinungstermin: 14. November 2006
• Englisch
• ISBN-13: 9783540382201
• Artikelnr.: 53123842

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.