Skip to main content

Equilibrium Solutions in a Nonlinear Dispersive System with Instability and Damping

  • Conference paper
Book cover Dynamical Problems in Soliton Systems

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 30))

Abstract

The problem of the evolution of instability waves in fluid systems has received considerable attention in recent years. One typical governing equation of such a problem is the nonlinear Schrödinger equation with complex coefficients (envelope equation) and its properties have been investigated from various aspects[1–6].

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P. G. Drazin and W. H. Reid: Hydrodynamic stability(Cambridge Univ. Press, Cambridge, 1981 )

    Google Scholar 

  2. A. C. Newell and J. A. Whitehead: J. Fluid Mech. 38, 279 (1969)

    Article  Google Scholar 

  3. J. T. Stuart and R. C. DiPrima: Proc. Roy. Soc. Lond A362, 27 (1978)

    Google Scholar 

  4. M. I. Rabinovich and A. L. Fabrikant: Sov. Phys. JETP. 50, 311 (1979)

    Google Scholar 

  5. K. Nozaki and N. Bekki: Phys. Rev. Lett. 51, 2171 (1983)

    Article  Google Scholar 

  6. H. T. Moon, P. Huerre, and L. G. Redekopp: Phys. Rev. Lett. 12, 458 (1982), Physica 11, 135 (1983)

    Article  Google Scholar 

  7. B. I. Cohen, J. A. Krommes, W. M. Tang, and M. N. Rosenbluth: Nucl. Fusion 1, 971 (1976)

    Article  Google Scholar 

  8. G. I. Sivashinsky: Physica 4p, 227(1982), Annu. Rev. Fluid Mech. 15, 179 (1983)

    Article  Google Scholar 

  9. J. Topper and T. Kawahara: J. Phys. Soc. Jpn. 44, 663 (1978)

    Article  Google Scholar 

  10. Y. Kuramoto and T. Tsuzuki: Prog. Theor. Phys. 11, 356 (1976)

    Article  Google Scholar 

  11. T. Yamada and Y. Kuramoto: Prog. Theor. Phys. 56, 681 (1976)

    Article  Google Scholar 

  12. N. Zabusky and M. D. Kruskal: Phys. Rev. Lett. 1. , 240(1965)

    Article  Google Scholar 

  13. T. Kawahara: Phys. Rev. Lett. 51, 381 (1983)

    Article  Google Scholar 

  14. T. Kawahara and S. Toh: Submitted to Phys. Rev. Lett.

    Google Scholar 

  15. S. Toh and T. Kawahara: In preparation

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kawahara, T., Toh, S. (1985). Equilibrium Solutions in a Nonlinear Dispersive System with Instability and Damping. In: Takeno, S. (eds) Dynamical Problems in Soliton Systems. Springer Series in Synergetics, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02449-2_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-02449-2_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-02451-5

  • Online ISBN: 978-3-662-02449-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics