Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications [electronic resource] : NSF Research Workshop on Contact Transformations / edited by Robert M. Miura.
Material type: TextSeries: Lecture Notes in Mathematics ; 515Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1976Description: VIII, 295 p. online resourceContent type:- text
- computer
- online resource
- 9783540382201
- Proceedings of the NSF Research Workshop on Contact Transformations, Held in Nashville, Tennessee, 1974
- 515 23
- QA299.6-433
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.
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