### Abstract

Language | English |
---|---|

Pages | 056402 -1 |

Journal | Physical Review E |

Volume | 79 |

Issue number | 5 |

DOIs | |

Publication status | Published - May 2009 |

### Fingerprint

### Keywords

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

### Cite this

*Physical Review E*,

*79*(5), 056402 -1. https://doi.org/10.1103/PhysRevE.79.056402

}

*Physical Review E*, vol. 79, no. 5, pp. 056402 -1. https://doi.org/10.1103/PhysRevE.79.056402

**Cylindrical and spherical ion-acoustic envelope solitons in multicomponent plasmas with positrons.** / Sabry, R.; Moslem, W.M.; Shukla, P.K.; Saleem, H.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Cylindrical and spherical ion-acoustic envelope solitons in multicomponent plasmas with positrons

AU - Sabry, R.

AU - Moslem, W.M.

AU - Shukla, P.K.

AU - Saleem, H.

PY - 2009/5

Y1 - 2009/5

N2 - 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.

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

UR - http://dx.doi.org/10.1103/PhysRevE.79.056402

U2 - 10.1103/PhysRevE.79.056402

DO - 10.1103/PhysRevE.79.056402

M3 - Article

VL - 79

SP - 56402

EP - 56401

JO - Physical Review E

T2 - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 5

ER -