Published February 1993
| Version v1
Journal article
Higher-order solution of an ion-acoustic solitary wave in a plasma
Creators
- 1. Department of Electrical Engineering, Texas Tech University, Lubbock, Texas 79409-3102 (United States)
- 2. Department of Energy Engineering, Faculty of Engineering, Yokohama National University, Yokohama 240 (Japan)
Description
A simple method for obtaining higher-order solutions of a solitary wave is presented. The method is based on the higher-order approximation of the reductive perturbation method. As a model equation, the Korteweg--de Vries (KdV) equation with fifth-order dispersion term is employed and higher-order solutions are obtained. In the case of ion-acoustic solitary wave, the fourth-order solution is given explicitly and is compared with numerical solutions. The fourth-order solution is shown to be valid if a normalized wave amplitude is less than 0.5
Additional details
Publishing Information
- Journal Title
- Physics of Fluids B
- Journal Volume
- 5
- Journal Issue
- 2
- Journal Page Range
- p. 409-414.
- ISSN
- 0899-8221
- CODEN
- PFBPEI
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 24037146
- Subject category
- S70: PLASMA PHYSICS AND FUSION TECHNOLOGY;
- Descriptors DEI
- ANALYTICAL SOLUTION; ION ACOUSTIC WAVES; KORTEWEG-DE VRIES EQUATION; NUMERICAL SOLUTION; PERTURBATION THEORY; SOLITONS; WAVE PROPAGATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; ION WAVES; PARTIAL DIFFERENTIAL EQUATIONS; PLASMA WAVES; QUASI PARTICLES