Bäcklund transformations, the inverse scattering method, solitons, and their applications : [proceedings] / NSF Research Workshop on Contact Transformations ; edited by R.M. Miura.
Material type:
TextSeries: Lecture notes in mathematics (Springer-Verlag) ; 515.Publication details: Berlin ; New York : Springer-Verlag, 1976.Description: 1 online resource (viii, 295 pages) : illustrationsContent type: - text
- computer
- online resource
- 9783540382201
- 3540382208
- 515.43 22
- QA3 .L28 no. 515 QA385
- 31.45
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Print version record.
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.