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FIZIKA A 11 (2002) 4 , 163-176
 
MODULATED ION-ACOUSTIC
WAVE NEAR CRITICALNESS - A NEW NONLINEAR SCHRÖDINGER EQUATION IN A COLLISIONAL PLASMA
A. P. MISRA and A. ROY CHOWDHURY
High Energy Physics Division, Department Of Physics, Jadavpur
University,
Kolkata - 700032, India
Received 14 June 2002;
revised manuscript received 30 January 2003
Accepted 3 February 2003 Online 10 February 2003
Modulation of ion-acoustic waves in a slowly responding collisional plasma is analysed
for some critical values of plasma parameters, angle of propagation, collisional
frequency, ion-temperature and percentage of fast particles in the plasma. Electrons,
which form the background, are assumed to be nonthermal. It is observed that at these
critical values, the nonlinear ion-acoustic wave is described by the new form of nonlinear
Schrödinger (NLS) equation containing higher-order and derivative-type nonlinearity. The
condition for modulational stability is derived at some critical values of the plasma
parameters, and lastly the solitary solution of the NLS equation is obtained and is found
to vary somewhat for different critical values.
PACS numbers: 52.35.Dm,
52.35.Mw, 52.35.Sb
UDC 531.52
Keywords: collisional plasma,
ion-acoustic waves, nonlinear wave, nonlinear Schrödinger equation modulational
stability, solitary solution
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