# Nonlinear wave modulation in a quantum magnetoplasma

## Abstract

Amplitude modulation of ion-acoustic waves (IAW) in a magnetized electron-ion quantum plasma is investigated. For this purpose, a three-dimensional (3D) quantum magnetohydrodynamic model is considered in the limit of small mass ratio of the charged particles. By using the standard reductive perturbation technique, a 3D nonlinear Schroedinger equation containing the magnetic field and the quantum effects is derived. The importance of quantum corrections is described through a nondimensional parameter H which is proportional to quantum diffraction effects. Some important and new modulational instability criteria of 3D IAW, quite distinct from the classical one, are obtained and analyzed.

- Authors:

- Department of Mathematics, Siksha Bhavana, Visva-Bharati University, Santiniketan-731 235 (India)
- (India)

- Publication Date:

- OSTI Identifier:
- 20960097

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 14; Journal Issue: 1; Other Information: DOI: 10.1063/1.2432052; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; DIFFRACTION; ELECTRONS; INSTABILITY; ION ACOUSTIC WAVES; IONS; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; MODULATION; NONLINEAR PROBLEMS; PERTURBATION THEORY; QUANTUM PLASMA; SCHROEDINGER EQUATION; THREE-DIMENSIONAL CALCULATIONS

### Citation Formats

```
Misra, Amar P., Bhowmik, Chandan, and Barisha High School, Barisha, Kolkata-700 008.
```*Nonlinear wave modulation in a quantum magnetoplasma*. United States: N. p., 2007.
Web. doi:10.1063/1.2432052.

```
Misra, Amar P., Bhowmik, Chandan, & Barisha High School, Barisha, Kolkata-700 008.
```*Nonlinear wave modulation in a quantum magnetoplasma*. United States. doi:10.1063/1.2432052.

```
Misra, Amar P., Bhowmik, Chandan, and Barisha High School, Barisha, Kolkata-700 008. Mon .
"Nonlinear wave modulation in a quantum magnetoplasma". United States.
doi:10.1063/1.2432052.
```

```
@article{osti_20960097,
```

title = {Nonlinear wave modulation in a quantum magnetoplasma},

author = {Misra, Amar P. and Bhowmik, Chandan and Barisha High School, Barisha, Kolkata-700 008},

abstractNote = {Amplitude modulation of ion-acoustic waves (IAW) in a magnetized electron-ion quantum plasma is investigated. For this purpose, a three-dimensional (3D) quantum magnetohydrodynamic model is considered in the limit of small mass ratio of the charged particles. By using the standard reductive perturbation technique, a 3D nonlinear Schroedinger equation containing the magnetic field and the quantum effects is derived. The importance of quantum corrections is described through a nondimensional parameter H which is proportional to quantum diffraction effects. Some important and new modulational instability criteria of 3D IAW, quite distinct from the classical one, are obtained and analyzed.},

doi = {10.1063/1.2432052},

journal = {Physics of Plasmas},

number = 1,

volume = 14,

place = {United States},

year = {Mon Jan 15 00:00:00 EST 2007},

month = {Mon Jan 15 00:00:00 EST 2007}

}

DOI: 10.1063/1.2432052

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