### Abstract

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

Pages | 122310-122310 |

Number of pages | 0 |

Journal | Physics of Plasmas |

Volume | 15 |

Issue number | 12 |

DOIs | |

Publication status | Published - Dec 2008 |

### Fingerprint

### Keywords

- modulational instability
- plasma flow
- plasma ion acoustic waves
- plasma simulation
- plasma solitons
- Schrodinger
- equation

### Cite this

*Physics of Plasmas*,

*15*(12), 122310-122310. https://doi.org/10.1063/1.3050066

}

*Physics of Plasmas*, vol. 15, no. 12, pp. 122310-122310. https://doi.org/10.1063/1.3050066

**Nonlinear wave modulation of cylindrical and spherical quantum ion-acoustic solitary waves.** / Sabry, R.; El-Labany, S.K.; Shukla, P.K.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Nonlinear wave modulation of cylindrical and spherical quantum ion-acoustic solitary waves

AU - Sabry, R.

AU - El-Labany, S.K.

AU - Shukla, P.K.

PY - 2008/12

Y1 - 2008/12

N2 - Cylindrical and spherical amplitude modulation of quantum ion-acoustic (QIA) envelope solitary waves in a dense quantum plasma comprised of electrons and ions is investigated. For this purpose, a one-dimensional quantum hydrodynamic model and the Poisson equation are considered. By using the standard reductive perturbation technique, a modified nonlinear Schrödinger equation with the geometrical and the quantum effects is derived. The effect of quantum corrections and the effect due to the cylindrical and spherical geometries on the propagation of the QIA envelope solitary waves are examined. It is shown that there exists a modulation instability period depending on the quantum parameter, which does not exist for the one-dimensional classical case.

AB - Cylindrical and spherical amplitude modulation of quantum ion-acoustic (QIA) envelope solitary waves in a dense quantum plasma comprised of electrons and ions is investigated. For this purpose, a one-dimensional quantum hydrodynamic model and the Poisson equation are considered. By using the standard reductive perturbation technique, a modified nonlinear Schrödinger equation with the geometrical and the quantum effects is derived. The effect of quantum corrections and the effect due to the cylindrical and spherical geometries on the propagation of the QIA envelope solitary waves are examined. It is shown that there exists a modulation instability period depending on the quantum parameter, which does not exist for the one-dimensional classical case.

KW - modulational instability

KW - plasma flow

KW - plasma ion acoustic waves

KW - plasma simulation

KW - plasma solitons

KW - Schrodinger

KW - equation

UR - http://dx.doi.org/10.1063/1.3050066

U2 - 10.1063/1.3050066

DO - 10.1063/1.3050066

M3 - Article

VL - 15

SP - 122310

EP - 122310

JO - Physics of Plasmas

T2 - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

IS - 12

ER -