# Interactions of nonlinear electron-acoustic solitary waves with vortex electron distribution

## Abstract

In the present work, based on a one dimensional model, we consider the head-on-collision of nonlinear electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions. The analysis is based on the use of extended Poincare, Lighthill-Kuo method [C. H. Su and R. M. Mirie, J. Fluid Mech. 98, 509 (1980); R. M. Mirie and C. H. Su, J. Fluid Mech. 115, 475 (1982)]. It is shown that, for the first order approximation, the waves propagating in opposite directions are characterized by modified Korteweg-de Vries equations. In contrary to the results of previous investigations on this subject, we showed that the phase shifts are functions of both amplitudes of the colliding waves. The numerical results indicate that the waves with larger amplitude experience smaller phase shifts. Such a result seems to be plausible from physical considerations.

- Authors:

- Faculty of Arts and Sciences, Department of Mathematics, Isik University, 34980 Sile-Istanbul (Turkey)

- Publication Date:

- OSTI Identifier:
- 22408067

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; COLLISIONS; ELECTRON PLASMA WAVES; INTERACTIONS; KORTEWEG-DE VRIES EQUATION; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; PHASE SHIFT; TRAPPED ELECTRONS; VORTEX FLOW

### Citation Formats

```
Demiray, Hilmi, E-mail: demiray@isikun.edu.tr.
```*Interactions of nonlinear electron-acoustic solitary waves with vortex electron distribution*. United States: N. p., 2015.
Web. doi:10.1063/1.4907790.

```
Demiray, Hilmi, E-mail: demiray@isikun.edu.tr.
```*Interactions of nonlinear electron-acoustic solitary waves with vortex electron distribution*. United States. doi:10.1063/1.4907790.

```
Demiray, Hilmi, E-mail: demiray@isikun.edu.tr. Sun .
"Interactions of nonlinear electron-acoustic solitary waves with vortex electron distribution". United States.
doi:10.1063/1.4907790.
```

```
@article{osti_22408067,
```

title = {Interactions of nonlinear electron-acoustic solitary waves with vortex electron distribution},

author = {Demiray, Hilmi, E-mail: demiray@isikun.edu.tr},

abstractNote = {In the present work, based on a one dimensional model, we consider the head-on-collision of nonlinear electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions. The analysis is based on the use of extended Poincare, Lighthill-Kuo method [C. H. Su and R. M. Mirie, J. Fluid Mech. 98, 509 (1980); R. M. Mirie and C. H. Su, J. Fluid Mech. 115, 475 (1982)]. It is shown that, for the first order approximation, the waves propagating in opposite directions are characterized by modified Korteweg-de Vries equations. In contrary to the results of previous investigations on this subject, we showed that the phase shifts are functions of both amplitudes of the colliding waves. The numerical results indicate that the waves with larger amplitude experience smaller phase shifts. Such a result seems to be plausible from physical considerations.},

doi = {10.1063/1.4907790},

journal = {Physics of Plasmas},

number = 2,

volume = 22,

place = {United States},

year = {Sun Feb 15 00:00:00 EST 2015},

month = {Sun Feb 15 00:00:00 EST 2015}

}