Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 6
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Abdelghany, A. M. Abd El-Razek, H. N. Moslem, W. M. and El-Labany, S. K. 2016. Solar wind implication on dust ion acoustic rogue waves. Physics of Plasmas, Vol. 23, Issue. 6, p. 062121.


    Ali Shan, S. and El-Tantawy, S. A. 2016. The impact of positrons beam on the propagation of super freak waves in electron-positron-ion plasmas. Physics of Plasmas, Vol. 23, Issue. 7, p. 072112.


    El, G.A. and Hoefer, M.A. 2016. Dispersive shock waves and modulation theory. Physica D: Nonlinear Phenomena, Vol. 333, p. 11.


    Dutykh, Denys and Tobisch, Elena 2015. Direct dynamical energy cascade in the modified KdV equation. Physica D: Nonlinear Phenomena, Vol. 297, p. 76.


    El-Tantawy, S A Wazwaz, A M and Schlickeiser, R 2015. Solitons collision and freak waves in a plasma with Cairns-Tsallis particle distributions. Plasma Physics and Controlled Fusion, Vol. 57, Issue. 12, p. 125012.


    Saha, Aparna Talukdar, B. and Chatterjee, Supriya 2014. Dynamical systems theory for the Gardner equation. Physical Review E, Vol. 89, Issue. 2,


    ×

Dynamics of modulationally unstable ion-acoustic wavepackets in plasmas with negative ions

  • MICHAEL S. RUDERMAN (a1), TATYANA TALIPOVA (a2) and EFIM PELINOVSKY (a2)
  • DOI: http://dx.doi.org/10.1017/S0022377808007150
  • Published online: 01 October 2008
Abstract
Abstract

In this paper we study the propagation of nonlinear ion-acoustic waves in plasmas with negative ions. The Gardner equation governing these waves in plasmas with the negative ion concentration close to critical is derived. The weakly nonlinear theory of modulational instability based on the use of the nonlinear Schrödinger equation is discussed. The investigation of the nonlinear dynamics of modulationally unstable quasi-harmonic wavepackets is carried out by the numerical solution of the Gardner equation. The results are compared with the predictions of the weakly nonlinear theory.

Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

V. S. Chan and S. R. Seshadri 1975 Modulational stability of the ion plasma mode. Phys. Fluids 18, 12941298.

R. Grimshaw , E. Pelinovsky , T. Talipova , M. S. Ruderman and R. Erdélyi 2005 Short-lived large-amplitude pulses in the nonlinear long-wave model described by the modified Korteweg–de Vries equation. Studi. Appl. Math. 114, 189210.

H. Ikezi 1973 Experiment on ion-acoustic solitary waves. Phys. Fluids 16, 16681675.

B. C. Kalita and G. C. Das 2002 Modified Korteweg–de Vries (MKdV) and Korteweg–de Vries (KdV) solitons in a warm plasma with negative ions and electrons' drift motion. J. Phys. Soc. Japan 71, 29182924.

T. Kakutani , H. Ono , T. Taniuti and C. C. Wei 1968 Reductive perturbation method in nonlinear wave propagation. II. Application to hydromagnetic waves in cold plasma. J. Phys. Soc. Japan 24, 11591166.

B. C. Kalita and S. N. Barman 1995 Solitons in a warm unmagnetized plasma with electron inertia and negative ions. J. Phys. Soc. Japan 64, 784790.

B. C. Kalita and N. Devi 1993 Solitary wave in a warm plasma with negative ions and drifting effect of electrons. Phys. Fluids B 5, 440445.

B. C. Kalita and M. K. Kalita 1990 Modified Korteweg–de Vries solitons in a warm plasma with negative ions. Phys. Fluids B 2, 674676.

I. Kourakis and P. K. Shukla 2003a Ion-acoustic waves in a two-electron-temperature plasma: oblique modulation and envelope excitations. J Phys. A: Math. Gen. 36, 1190111913.

I. Kourakis and P. K. Shukla 2003b Modulational instability and localized excitation of dust-ion acoustic waves. Phys. Plasmas 10, 34593470.

I. Kourakis and P. K. Shukla 2005 Exact theory for localized envelope modulated electrostatic wavepackets in space and dusty plasmas. Nonlin. Processes Geophys. 12, 407423.

G. O. Ludwig , J. L. Ferreira and Y. Nakamura 1984 Observation of ion-acoustic rarefaction solitons in a multicomponent plasma with negative-ions. Phys. Rev. Lett. 52, 275278.

M. K. Mishra , R. S. Chhabra and S. R. Sharma 1994 Stability of oblique modulation of ion-acoustic waves in a multicomponent plasma. Phys. Plasmas 1, 7075.

Y. Nakamura 1982 Experiments on ion-acoustic solitons in plasmas. IEEE Trans. Plasma Sci. 10, 180195.

A. C. Newell 1985 Solitons in Mathematics and Physics. Philadelphia, PA: SIAM.

E. J. Parkes 1987 The modulation of weakly non-linear dispersive waves near the marginal state of stability. J. Phys. A: Math. Gen. 20, 20252036.

M. Saito , S. Watanabe and H. Tanaca 1984 Modulational instability of ion wave in plasma with negative ion. J. Phys. Soc. Japan 53, 23042310.

C. H. Su and C. S. Gardner 1969 Korteweg–de Vries equation and generalizations. 3. Derivation of Korteweg–de Vries equation and Burgers equation. J. Math. Phys. 10, 536539.

T. Taniuti and C. C. Wei 1968 Reductive perturbation method in nonlinear wave propagation. I. J. Phys. Soc. Japan 24, 941946.

F. Tappert 1972 Improved Korteweg–de Vries equation for ion-acoustic waves. Phys. Fluids 15, 24462447.

M. Q. Tran 1979 Ion-acoustic solitons in a plasma—review of their experimental properties and related theories. Phys. Scripta 20, 317327.

H. Tsuji and M. Oikawa 2004 Two-dimensional interaction of solitary waves in a modified Kadomtsev–Petviashvili equation. J. Phys. Soc. Japan 73, 30343043.

H. Washimi and T. Taniuti 1966 Propagation of ion-acoustic solitary waves of small amplitude. Phys. Rev. Lett. 17, 996998.

S. Watanabe 1978 Interpretation of experiments on ion-acoustic soliton. J. Phys. Soc. Japan 44, 611617.

S. Watanabe 1984 Ion acoustic soliton in plasma with negative ion. J. Phys. Soc. Japan 53, 950956.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
  • URL: /core/journals/journal-of-plasma-physics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×