Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas

1976 ◽  
Vol 41 (1) ◽  
pp. 265-271 ◽  
Author(s):  
Koji Mio ◽  
Tatsuki Ogino ◽  
Kazuo Minami ◽  
Susumu Takeda
Keyword(s):  
Magnetic Field ◽  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Alfven Waves ◽  
Nonlinear Schrodinger Equation ◽  
Alfvén Waves ◽  
Nonlinear Schrödinger ◽  
Cold Plasmas ◽  
The Magnetic Field

scholarly journals Stability of a modulated ion acoustic wave in a magnetised plasma.

2000 ◽  
Vol 53 (2) ◽  
pp. 289 ◽  
Author(s):  
Md. Khurshed Alam ◽  
A. Roy Chowdhury
Keyword(s):  
Schrödinger Equation ◽  
Acoustic Wave ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Nls Equation ◽  
Ion Acoustic Wave ◽  
Nonlinear Schrödinger ◽  
Ion Acoustic ◽  
The Magnetic Field

A nonlinear Schrödinger equation which governs the nonlinear interaction of the ion-acoustic wave with the quasistatic plasma slow response in a magnetised plasma is deduced. The magnetic field is assumed to be constant. It is observed that the coefficient of the nonlinear term in the derived nonlinear Schrödinger equation turns out to be complex, in contrast to the usual situation. The condition for modulational stability is derived and it is found to be somewhat different. In the final section such a condition is discussed graphically. Our NLS equation goes back to that of the unmagnetised case if wc is put to zero.

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