Bäcklund transformations, the inverse scattering method, solitons, and their applications : proceedings of the NSF Research Workshop on Contact Transformations, held in Nashville, Tennessee, 1974

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Bäcklund transformations, the inverse scattering method, solitons, and their applications : proceedings of the NSF Research Workshop on Contact Transformations, held in Nashville, Tennessee, 1974

edited by R.M. Miura

（Lecture notes in mathematics, 515）

Springer-Verlag, 1976

  • : U.S.
  • : Germany

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Includes bibliographical references

Description and Table of Contents

Description

Proceedings of the NSF Research Workshop on Contact Transformations, Held in Nashville, Tennessee, 1974

Table of Contents

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

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