Modulational stability of the ion plasma mode

Journal Article · Wed Oct 01 00:00:00 EDT 1975 · Phys. Fluids, v. 18, no. 10, pp. 1294-1298

DOI:https://doi.org/10.1063/1.861017· OSTI ID:4193963

Chan, V S; Seshadri, S R

The cubic Schrodinger equation satisfied by the slowly varying amplitude of the longitudinal wave in an electron-ion plasma is deduced using the method of Kakutani and Sugimoto. The analysis of the Schrodinger equation shows that the ion acoustic wave is modulationally stable and that the ion plasma oscillations are modulationally stable or unstable according to whether the wavenumber is below or above a critical value which is controlled entirely by the wave dispersion.

• Research Organization: Department of Electrical and Computer Engineering, The University of Wisconsin, Madison, Wisconsin 53706
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-000383
• OSTI ID: 4193963
• Journal Information: Phys. Fluids, v. 18, no. 10, pp. 1294-1298, Journal Name: Phys. Fluids, v. 18, no. 10, pp. 1294-1298; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

*ION ACOUSTIC WAVES-- MODULATION
700108* --Fusion Energy--Plasma Research--Plasma Wave Phenomena
AMPLITUDES
N70900* --Physics--Controlled Thermonuclear Research--Wave Phenomena
OSCILLATIONS
PLASMA
SCHROEDINGER EQUATION
STABILITY
WAVE PROPAGATION