Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-25T05:12:26.439Z Has data issue: false hasContentIssue false
  • English
  • Français

Solitary Langmuir waves in two-electron temperature plasma

Published online by Cambridge University Press:  25 November 2013

V. V. Prudkikh
V. V. Prudkikh*
Affiliation:
Department of Physics, Southern Federal University, Rostov-on-Don, Russia
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

Nonlinear interaction of Langmuir and ion-acoustic waves in two-electron temperature plasma is investigated. New integrable wave interaction regime was discovered, this regime corresponds to the Langmuir soliton with three-hump amplitude, propagating with a speed close to the ion–sound speed in the conditions of strong non-isothermality of electronic components. It was discovered that besides the known analytical solution in the form of one- and two-hump waves, there exists a range of solutions in the form of solitary waves, which in the form of envelope has multi-peak structure and differs from the standard profiles described by hyperbolic functions. In case of fixed plasma parameters, different group velocities correspond to the waves with different number of peaks. It is found that the Langmuir wave package contains both even and uneven numbers of oscillations. Low-frequency potential here has uneven number of peaks. Interrelation of obtained and known earlier results are also discussed.

Type
Papers
Information
Journal of Plasma Physics , Volume 80 , Issue 3 , June 2014 , pp. 405 - 415
Copyright
Copyright © Cambridge University Press 2013 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Isichenko, M. B., Chukbar, K. V. and Yan'kov, V. V. 1985 Theory of the fast evolution of the magnetic field in a two-component electron plasma. J. Exp. Theor. Phys. Lett. 41, 101.Google Scholar
Jones, W. D., Lee, A., Gleeman, S. M. and Doucet, H. J. 1975 Propagating of ion-acoustic waves in a two-electron temperature plasma. Phys. Rev. Lett. 35, 1349–1352.CrossRefGoogle Scholar
Kaw, P. K., Sen, A. and Katsouleas, T. 1992 Nonlinear 1D laser pulse solitons in a plasma. Phys. Rev. Lett. 68, 3172–3175.CrossRefGoogle ScholarPubMed
Kingsep, A. S., Rudakov, L. I. and Sudan, R. N. 1973 Spectra of strong Langmuir turbulence. Phys. Rev. Lett. 31, 1482–1484.Google Scholar
Kuehl, H. H. and Zhang, C. Y. 1993 One-dimensional, weakly nonlinear electromagnetic solitary waves in a plasma. Phys. Rev. E 48, 1316–1323.CrossRefGoogle ScholarPubMed
Poornakala, S., Das, A., Sen, A. and Kaw, P. K. 2002 Laser envelope solitons in cold overdense plasmas. Phys. Plasmas 9, 1820–1823.Google Scholar
Prudskikh, V. V. 2010 Supersonic and near-sonic solitary ion-acoustic waves in magnetized plasma. Plasma Phys. Rep. 36, 993–999.CrossRefGoogle Scholar
Rao, N. N. and Shukla, P. K. 1997 Coupled Langmuir and ion-acoustic waves in two-electron temperature plasmas. Phys. Plasmas 4, 636–645.CrossRefGoogle Scholar
Temerin, M., Cherny, K., Lotko, W. and Mozer, F. S. 1982 Observations of double layers and solitary waves in the auroral plasma. Phys. Rev. Lett. 48, 1175–1179.Google Scholar
Xie, B.-S. and Du, S.-C. 2006 Multipeak solitons and nonlinear modulated solutions in plasma under relativistic electromagnetic field. Phys. Plasmas 13, 074504.Google Scholar
Yan'kov, V. V. 1979 Two types of Langmuir solitons. J. Exp. Theor. Phys. Lett. 29, 160.Google Scholar