Skip to main content

Lie algebra of a derivative nonlinear Schrödinger equation

  • Conference paper
  • First Online:
Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 313))

Abstract

A Lie algebra is obtained from the prolongation structure of a derivative nonlinear Schrödinger equation. A similarity solution is obtained through solving the characteristic equation.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Michio Jimbo and Tetsuji Miwa, Publ. RIMS. Kyoto Univ. 19, 943 (1983)

    Google Scholar 

  2. A. Nakamura and H.H. Chen, Journ. Phys. Soc. Japan 49, 813 (1980)

    Article  Google Scholar 

  3. L.G. Redekopp, Studies in Applied Math. 63, 185 (1980)

    Google Scholar 

  4. L.V. Ovsiannikov, “Group Analysis of Differential Equations” Academic Press, New York (1982)

    Google Scholar 

  5. G.W. Bluman and J.D. Cole, “Similarity Methods for Differential Equations” Springer-Verlag, New York (1974)

    Google Scholar 

  6. Chau-Chin Wei, C.Y. Wang, P.J. Chang and J.C. Wu, Scaling Law of a Space Charge Flow, XIIIth International Colloquium on Group Theoretical Methods in Physics. W.W. Zachary, editor, World

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Heinz-D. Doebner Jörg-D. Hennig Tchavdar D. Palev

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Wei, CC., Yang, YC., Annegarn, H.J., Yeh, RJ., Wang, CY. (1988). Lie algebra of a derivative nonlinear Schrödinger equation. In: Doebner, HD., Hennig, JD., Palev, T.D. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012289

Download citation

  • DOI: https://doi.org/10.1007/BFb0012289

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50245-6

  • Online ISBN: 978-3-540-45959-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics