TY - BOOK AU - Miura,Robert M. ED - SpringerLink (Online service) TI - Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications: NSF Research Workshop on Contact Transformations T2 - Lecture Notes in Mathematics, SN - 9783540382201 AV - QA299.6-433 U1 - 515 23 PY - 1976/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Global analysis (Mathematics) KW - Analysis N1 - 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 UR - http://dx.doi.org/10.1007/BFb0081158 ER -