Local Jet Bundle Formulation of Bäckland Transformations : With Applications to Non-Linear Evolution Equations

The aim of this paper is to show that the theory of jet bundles supplies the appropriate setting for the study of Backlund trans­ formations. These transformations are used to solve certain partial differential equations, particularly non-linear evolution equations. Of course jets have been employed...

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Main Authors: Pirani, F.A.E., Robinson, D.C. (Author), Shadwick, W.F. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1979, 1979
Edition:1st ed. 1979
Series:Mathematical Physics Studies
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Section 1. Introduction
  • Section 2. Jet Bundles
  • Section 3. Bäcklund Maps: Simplest Case
  • Section 4. Bäcklund Maps: General Case
  • Section 5. Connections
  • Section 6. One Parameter Families of Bäcklund Maps
  • Section 7. Solutions of the Bäcklund Problem
  • References