Skip to main content
SpringerLink
Log in
Book cover

Group Theoretical Methods in Physics pp 183–186Cite as

Backlund problem,differential algebra and group theory

  • Session II — Completely Integrable Systems and Group Theory
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Physics ((LNP,volume 180))

Abstract

Our purpose is to prove that certain concepts of mathematical physics involving partial differential equations (PDE) can only be clearly understood in the framework of a new branch of mathematics called “differential algebraic geometry”.By this way, we give a new setting for the inverse Bäcklund problem and relate it to the differential Galois theory.

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. E.GOURSAT:Le problème de Bäcklund,Mémorial des Sciences Mathématiques,n°6,Gauthier-Villars,1925,53p.

    Google Scholar 

  2. J.F.POMMARET:Systems of partial differential equations and Lie pseudogroups,Gordon and Breach,1978,426p.

    Google Scholar 

  3. J.F.POMMARET:Differential Galois theory,Gordon and Breach, 1982,760p.

    Google Scholar 

  4. E:VESSIOT:Sur la théorie de Galois et ses diverses généra-lisations, Ann.Sc.Ec.Norm.Sup.,21,1904,p.9.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Département de Mathématiques, Ecole Nationale des Ponts et Chaussées, 28 rue des Saints-Pères, 75007, Paris, France

    Jean-François Pommaret

Authors
  1. Jean-François Pommaret
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

M. Serdaroğlu E. Ínönü

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Pommaret, JF. (1983). Backlund problem,differential algebra and group theory. In: Serdaroğlu, M., Ínönü, E. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12291-5_25

Download citation

  • DOI: https://doi.org/10.1007/3-540-12291-5_25

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12291-3

  • Online ISBN: 978-3-540-39621-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation