Effect of ion streaming on the onset of the modulational instability

Journal Article · Sun Apr 01 04:00:00 EDT 1990 · Physics of Fluids B; (USA)

DOI:https://doi.org/10.1063/1.859311· OSTI ID:6916520

Salahuddin, M ^[1]; Durrani, I R; Saleem, H ^[2]

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1. Pakistan Atomic Energy Commission, P.O. Box 1114, Islamabad, Pakistan (PK)
2. Nuclear Physics Division, PINSTECH, Islamabad, Pakistan (PK)

The effect of ion streaming on the modulational instability (MI) of ion-acoustic waves in a collisionless unmagnetized plasma is studied. The nonlinear Schroedinger equation is derived by using the Krylov--Bogoliubov--Mitropolsky (KBM) perturbation technique. It is found that the value of the critical wavenumber {ital k}{sub {ital c}} is highly dependent upon the ion streaming velocity {ital V}{sub 0} and the system breaks into a number of stable and unstable regions. In the weak relativistic limit of {ital V}{sub 0}, instability sets in for {ital k}{sub {ital c}} {lt}1.47. It is reconfirmed that in the absence of ion streaming the modulational instability of ion-acoustic waves sets in at a critical wavenumber {ital k}{sub {ital c}} =1.47.

• OSTI ID: 6916520
• Journal Information: Physics of Fluids B; (USA), Journal Name: Physics of Fluids B; (USA) Vol. 2:4; ISSN 0899-8221; ISSN PFBPE
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CHARGED PARTICLES
COLLISIONLESS PLASMA
DIFFERENTIAL EQUATIONS
EQUATIONS
INSTABILITY
ION ACOUSTIC WAVES
ION WAVES
IONS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
PLASMA
PLASMA INSTABILITY
PLASMA WAVES
RADIATION STREAMING
SCHROEDINGER EQUATION
WAVE EQUATIONS