Skip to main content
Log in

Mode interaction in two-stream systems of hydrodynamic type

  • Published:
Soviet Physics Journal Aims and scope

Abstract

The nonlinear dynamics of nonequilibrium two-stream hydrodynamic systems is described within the framework of Hamiltonian formalism. A procedure is proposed for diagonalization of the quadratic part of the Hamiltonian based on diagonalization of the dynamic equations by going over to normal variables with subsequent construction of the Hamiltonian as a motion integral. Matrix mode interaction elements are found.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. A. I. Akhiezer (ed.), Plasma Electrodynamics [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  2. H. Wilhelmsson and J. Wayland, Coherent Nonlinear Wave Interaction in a Plasma [Russian translation], Énergoizdat, Moscow (1981).

    Google Scholar 

  3. Chia-Chiao Lin, Theory of Hydrodynamic Stability [Russian translation], IL, Moscow (1958).

    Google Scholar 

  4. R. Betchov and W. Criminale, Questions of Hydrodynamic Stability [Russian translation], Mir, Moscow (1971).

    Google Scholar 

  5. V. E. Zakharov, Zh. Éksp. Teor. Fiz.,60, 1714 (1971).

    Google Scholar 

  6. V. E. Zakharov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,17, 431 (1974).

    Google Scholar 

  7. A. M. Ignatov, Zh. Éksp. Teor. Fiz.,87, 1652 (1984).

    Google Scholar 

  8. Yu. G. Pavlenko, Hamiltonian Methods in Electrodynamics and Quantum Mechanics [in Russian], Izd. Mosk. Gos. Univ., Moscow (1985).

    Google Scholar 

  9. M. B. Isichenko and V. V. Yan'kov, Zh. Éksp. Teor. Fiz.,82, 1914 (1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 72–76, December, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vorob'ev, V.M. Mode interaction in two-stream systems of hydrodynamic type. Soviet Physics Journal 33, 1044–1047 (1990). https://doi.org/10.1007/BF00895284

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00895284

Keywords

Navigation