Skip to main content
SpringerLink
Log in

Self-Similar Solutions of Nonlinear Evolution Equations of Physical Significance

  • Chapter
Plasma Physics

Part of the book series: Nobel Symposium Committee (1976) ((NOFS,volume 36))

Abstract

One of the most remarkable recent advances in mathematical physics is a method of solution for certain classes of nonlinear partial differential equations which arise naturally in many scientific areas, and particularly in nonlinear plasma physics.

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

Access this chapter

Log in via an institution
eBook
USD 16.99
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. Gardner, C.S., J.M. Greene, M.D. Kruskal, R.M. Miura, Phys. Rev, Letters, 19, 1095, (1967).

    Article  ADS  Google Scholar 

  2. Lax, P.D., Comm. on Pure and Appl. Math., 21, 467, (1968).

    Article  MathSciNet  MATH  Google Scholar 

  3. Zakharov, V.E., A.B. Shabat, Zh. Eksp. Teor. Fiz., 61, 118 (1971)

    Google Scholar 

  4. Zakharov, V.E., A.B. Shabat, Soy. Phys. JETP, 34, 62, (1972)

    MathSciNet  ADS  Google Scholar 

  5. Zakharov, V.E., A.B. Shabat, Zh, Eksp. Teor. Fiz., 64, 1627, (1971)

    Google Scholar 

  6. Zakharov, V.E., A.B. Shabat, Soy. Phys. JETP, 37, 823, (1973)

    ADS  Google Scholar 

  7. Zakharov, V.E., Zh. Eksp. Teor, Fiz., 65, 219 (1973)

    Google Scholar 

  8. Zakharov, V.E., Soy. Phys. JETP, 38, 108, (1974).

    ADS  Google Scholar 

  9. Fermi, E., J. Pasta, S. Ulam, Los Alamos Scientific Report LA-1940, (1955).

    Google Scholar 

  10. Zakharov, V.E., S.U. Manakov, Zh. Eksp. Teor, Fiz. Pis’ma Red., 18, 413, (1973)

    ADS  Google Scholar 

  11. Zakharov, V.E., S.U. Manakov, JETP Lett., 18, 243, (1973)

    ADS  Google Scholar 

  12. Ablowitz, M.J., D.J. Kaup, A.C. Newell, H. Segur, Phys. Rev. Letters, 30, 1262, (1973).

    Article  MathSciNet  ADS  Google Scholar 

  13. Ince, E.L., Ordinary Differential Equations, p. 315, (Dover 1956 ).

    Google Scholar 

  14. Idura, R.M, Journal of Math. Phis, 9, 1202, (1968).

    Article  ADS  Google Scholar 

  15. Ablowitz, M.J., D.J. Kaup, A.C. Newell, H. Segur, Phys. Rev. Letters, 31, 125, (1973).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. Kato, Y., Suppl. of the Progress of Theor. Physics, 55, 247, (1974).

    Article  ADS  Google Scholar 

  17. Kodama, Y., Progress of Theor. Physics., 5b, 669, (1975).

    Article  MathSciNet  ADS  Google Scholar 

  18. Nakach, R.D., Report EUR-CEA-FC 803, (1975).

    Google Scholar 

  19. Kadomtsev, B.B., V.I. Karpman, Soy. Phys. USPEKHI, 14, 40, (1971).

    Article  MathSciNet  ADS  Google Scholar 

  20. Bespalov, V.I., A.G. Litvak, V.I. Talanov, (Second A11-union Symp. on Nonlinear Optics), 1966, collection of papers, NAUKA, 1968.

    Google Scholar 

  21. Karpman, V.I., E.M. Krushkal, Zh. Eksp. Teor. Fiz., 55, 530, (1968)

    Google Scholar 

  22. Karpman, V.I., E.M. Krushkal, Sov. Phys. JETP, 28, 277, (1969).

    ADS  Google Scholar 

  23. Lamb, Jr., G.L., Review of Modern Physics, 3, Part I, 99, (1971).

    Google Scholar 

  24. Nakach, R.D., H. Wilhelmsson, Phys. Review Se ‘e A, (To be published July 1976 ).

    Google Scholar 

  25. Rosenbluth, M.N., B. Coppi, R. Sudan, Proc. J Intern. Conf. Plasma Physics and Contr. Nuclear Fusion Research, Novosibirsk, (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Département de Physique du Plasma et de la Fusion Controlée Service IGn — Centre d’Etudes Nucléaires, Association Euratom-CEA, 85X - 38041, Grenoble Cedex, France

    R. Nakach

Authors
  1. R. Nakach
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute for Electromagnetic Field Theory, Chalmers University of Technology, S-402 20, Fack, Göteborg, Sweden

    Hans Wilhelmsson

Rights and permissions

Reprints and permissions

Copyright information

© 1977 Springer Science+Business Media New York

About this chapter

Cite this chapter

Nakach, R. (1977). Self-Similar Solutions of Nonlinear Evolution Equations of Physical Significance. In: Wilhelmsson, H. (eds) Plasma Physics. Nobel Symposium Committee (1976), vol 36. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1571-2_31

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-1571-2_31

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1573-6

  • Online ISBN: 978-1-4757-1571-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation