Cylindrical and spherical ion-acoustic envelope solitons in multicomponent plasmas with positrons

R. Sabry, W.M. Moslem, P.K. Shukla, H. Saleem

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

The nonlinear wave modulation of planar and nonplanar (cylindrical and spherical) ion-acoustic envelope solitons in a collisionless unmagnetized electron-positron-ion plasma with two-electron temperature distributions has been studied. The reductive perturbative technique is used to obtain a modified nonlinear Schrödinger equation, which includes a damping term that accounts for the geometrical effect. The critical wave number threshold Kc, which indicates where the modulational instability sets in, has been determined for various regimes. It is found that an increase in the positron concentration (α) leads to a decrease in the critical wave number (Kc) until α approaches certain value αc (critical positron concentration), then further increase in α beyond αc increases the value of Kc. Also, it is found that there is a modulation instability period for the cylindrical and spherical wave modulation, which does not exist in the one-dimensional case.
LanguageEnglish
Pages056402 -1
JournalPhysical Review E
Volume79
Issue number5
DOIs
Publication statusPublished - May 2009

Fingerprint

Envelope
Solitons
positrons
Acoustics
Modulation
envelopes
Plasma
solitary waves
modulation
acoustics
Electron
cylindrical waves
Modulational Instability
ions
Damping Term
spherical waves
Nonlinear Waves
Temperature Distribution
Nonlinear Schrödinger Equation
nonlinear equations

Keywords

  • electrons
  • modulational instability
  • nonlinear equations
  • perturbation theory
  • plasma ion acoustic waves
  • plasma solitons
  • plasma temperature
  • positrons
  • Schrodinger equation

Cite this

Sabry, R. ; Moslem, W.M. ; Shukla, P.K. ; Saleem, H. / Cylindrical and spherical ion-acoustic envelope solitons in multicomponent plasmas with positrons. In: Physical Review E. 2009 ; Vol. 79, No. 5. pp. 056402 -1.
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abstract = "The nonlinear wave modulation of planar and nonplanar (cylindrical and spherical) ion-acoustic envelope solitons in a collisionless unmagnetized electron-positron-ion plasma with two-electron temperature distributions has been studied. The reductive perturbative technique is used to obtain a modified nonlinear Schr{\"o}dinger equation, which includes a damping term that accounts for the geometrical effect. The critical wave number threshold Kc, which indicates where the modulational instability sets in, has been determined for various regimes. It is found that an increase in the positron concentration (α) leads to a decrease in the critical wave number (Kc) until α approaches certain value αc (critical positron concentration), then further increase in α beyond αc increases the value of Kc. Also, it is found that there is a modulation instability period for the cylindrical and spherical wave modulation, which does not exist in the one-dimensional case.",
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Cylindrical and spherical ion-acoustic envelope solitons in multicomponent plasmas with positrons. / Sabry, R.; Moslem, W.M.; Shukla, P.K.; Saleem, H.

In: Physical Review E, Vol. 79, No. 5, 05.2009, p. 056402 -1.

Research output: Contribution to journalArticle

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AU - Sabry, R.

AU - Moslem, W.M.

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AU - Saleem, H.

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AB - The nonlinear wave modulation of planar and nonplanar (cylindrical and spherical) ion-acoustic envelope solitons in a collisionless unmagnetized electron-positron-ion plasma with two-electron temperature distributions has been studied. The reductive perturbative technique is used to obtain a modified nonlinear Schrödinger equation, which includes a damping term that accounts for the geometrical effect. The critical wave number threshold Kc, which indicates where the modulational instability sets in, has been determined for various regimes. It is found that an increase in the positron concentration (α) leads to a decrease in the critical wave number (Kc) until α approaches certain value αc (critical positron concentration), then further increase in α beyond αc increases the value of Kc. Also, it is found that there is a modulation instability period for the cylindrical and spherical wave modulation, which does not exist in the one-dimensional case.

KW - electrons

KW - modulational instability

KW - nonlinear equations

KW - perturbation theory

KW - plasma ion acoustic waves

KW - plasma solitons

KW - plasma temperature

KW - positrons

KW - Schrodinger equation

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