Nonlinear evolution of Alfven waves in a finite beta plasma

Journal Article · Fri Dec 01 00:00:00 EST 1989 · Physics of Fluids B: Plasma Physics; (USA)

DOI:https://doi.org/10.1063/1.859052· OSTI ID:5215189

Som, B K ^[1]; Dasgupta, B; Patel, V L ^[2]; Gupta, M R ^[3]

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1. Department of Physics, B.K. Girls' College, Howrah, West Bengal, (India)
2. Department of Physics, University of Denver, Denver, Colorado 80208 (USA)
3. Center of Advanced Studies in Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Calcutta 700 009, (India)

A general form of the derivative nonlinear Schroedinger (DNLS) equation, describing the nonlinear evolution of Alfven waves propagating parallel to the magnetic field, is derived by using two-fluid equations with electron and ion pressure tensors obtained from Braginskii (in {ital Reviews} {ital of} {ital Plasma Physics} (Consultants Bureau, New York, 1965), Vol. 1, p. 218). This equation is a mixed version of the nonlinear Schroedinger (NLS) equation and the DNLS, as it contains an additional cubic nonlinear term that is of the same order as the derivative of the nonlinear terms, a term containing the product of a quadratic term, and a first-order derivative. It incorporates the effects of finite beta, which is an important characteristic of space and laboratory plasmas.

• OSTI ID: 5215189
• Journal Information: Physics of Fluids B: Plasma Physics; (USA), Vol. 1:12; ISSN 0899-8221
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
PLASMA
ALFVEN WAVES
BETA RATIO
FLUCTUATIONS
MAGNETIC FIELDS
NONLINEAR PROBLEMS
PLASMA PRESSURE
SCHROEDINGER EQUATION
TENSORS
DIFFERENTIAL EQUATIONS
EQUATIONS
HYDROMAGNETIC WAVES
PARTIAL DIFFERENTIAL EQUATIONS
VARIATIONS
WAVE EQUATIONS
700108* - Fusion Energy- Plasma Research- Wave Phenomena