Coupled nonlinear Schrödinger equation for Langmuir and dispersive ion acoustic waves

1979 ◽  
Vol 72 (2) ◽  
pp. 111-114 ◽  
Author(s):  
B.K. Som ◽  
M.R. Gupta ◽  
Brahmananda Dasgupta
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Acoustic Waves ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Ion Acoustic Waves ◽  
Nonlinear Schrödinger ◽  
Coupled Nonlinear Schrödinger Equation ◽  
Ion Acoustic

Observation of modulational instability in a multi-component plasma with negative ions

1993 ◽  
Vol 50 (2) ◽  
pp. 231-242 ◽  
Author(s):  
H. Bailung† ◽  
Y. Nakamura
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Acoustic Waves ◽  
Schrodinger Equation ◽  
Negative Ions ◽  
Nonlinear Schrodinger Equation ◽  
Ion Acoustic Waves ◽  
Nonlinear Schrödinger ◽  
Ion Acoustic ◽  
Component Plasma

The nonlinear evolution of ion-acoustic waves in a multi-component plasma with negative ions has been studied experimentally using a double-plasma device. At a critical concentration of negative ions the phase velocity of the ion- acoustic waves increases with the wave amplitude, and the wave has negative dispersion, which show that the wave satisfies Lighthill's condition. The initial small modulation in amplitude is found to grow spatially. The observed phenomena are compared with the relevant theory using the nonlinear Schrödinger equation. The fluid equations are integrated to confirm the validity of the nonlinear Schrödinger equation.

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