Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications
Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications NSF Research Workshop on Contact Transformations / [electronic resource] :
Proceedings of the NSF Research Workshop on Contact Transformations, Held in Nashville, Tennessee, 1974
edited by Robert M. Miura.
- VIII, 295 p. online resource.
- Lecture Notes in Mathematics, 515 0075-8434 ; .
- Lecture Notes in Mathematics, 515 .
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.
9783540382201
10.1007/BFb0081158 doi
Global analysis (Mathematics).
Analysis.
QA299.6-433
515
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.
9783540382201
10.1007/BFb0081158 doi
Global analysis (Mathematics).
Analysis.
QA299.6-433
515