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

Proceedings of the NSF Research Workshop on Contact Transformations, held in Nashville, Tennessee, 1974
1976
ISBN: 978-3-540-07687-2
Verlag: Springer

Buch, Englisch, Band 515, 295 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 528 g

Reihe: Lecture Notes in Mathematics

Springer Book Archives

Zielgruppe

Research

Autoren/Hrsg.

Miura, Robert M.

Fachgebiete

• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Naturwissenschaften Physik Thermodynamik Oberflächen- und Grenzflächenphysik, Dünne Schichten
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

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.