Bcklund Transformations, the Inverse Scattering Method, Solitons, and Their App [Paperback]

Experiments on solitary waves.- Stimulated Raman and Brillouin scattering and the inverse method.- Direct method of finding exact solutions of nonlinear evolution equations.- B?cklund transformations at the turn of the century.- The application of B?cklund transforms to physical problems.- On applications of generalized B?cklund transformations to continuum mechanics.- Some old and new techniques for the practical use of exterior differential forms.- B?cklund transformation of potentials of the Korteweg-deVries equation and the interaction of solitons with cnoidal waves.- Pseudopotentials and their applications.- Variational problems and B?cklund transformations associated with the sine-gordon and Korteweg-deVries equations and their extensions.- The interrelation between B?cklund transformations and the inverse scattering transform.- Relation between B?cklund transformations and inverse scattering problems.- Some comments on B?cklund transformations, canonical transformations, and the inverse scattering method.