Higher-order solution of an ion-acoustic solitary wave in a plasma

Journal Article · Mon Feb 01 04:00:00 EST 1993 · Physics of Fluids B; (United States)

DOI:https://doi.org/10.1063/1.860526· OSTI ID:7118467

Watanabe, S ^[1]; Jiang, B ^[2]

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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)

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.

• OSTI ID: 7118467
• Journal Information: Physics of Fluids B; (United States), Journal Name: Physics of Fluids B; (United States) Vol. 5:2; ISSN 0899-8221; ISSN PFBPEI
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700340* -- Plasma Waves
Oscillations
& Instabilities-- (1992-)
ANALYTICAL SOLUTION
DIFFERENTIAL EQUATIONS
EQUATIONS
ION ACOUSTIC WAVES
ION WAVES
KORTEWEG-DE VRIES EQUATION
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
PLASMA WAVES
QUASI PARTICLES
SOLITONS
WAVE PROPAGATION