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Original scientific paper

Modulated ion-acoustic wave near criticalness - a new nonlinear Schrödinger equation in a collisional plasma

A. P. Misra ; High Energy Physics Division, Department Of Physics, Jadavpur University, Kolkata - 700032, India
A. Roy Chowdhury ; High Energy Physics Division, Department Of Physics, Jadavpur University, Kolkata - 700032, India


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Abstract

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.

Keywords

collisional plasma; ion-acoustic waves; nonlinear wave; nonlinear Schrödinger equation modulational stability; solitary solution

Hrčak ID:

301600

URI

https://hrcak.srce.hr/301600

Publication date:

1.10.2002.

Article data in other languages: croatian

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