Small amplitude nonlinear electron acoustic solitary waves in weakly magnetized plasma
- Department of Instrumentation Science, Jadavpur University, Kolkata-700 032 (India)
- Department of Applied Mathematics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Kolkata-700 009 (India)
- Indian Statistical Institute, Kolkata-700 108 (India)
- Saha Institute of Nuclear Physics, 1/AF Bidhannagar Kolkata-700 064 (India)
Nonlinear propagation of electron acoustic waves in homogeneous, dispersive plasma medium with two temperature electron species is studied in presence of externally applied magnetic field. The linear dispersion relation is found to be modified by the externally applied magnetic field. Lagrangian transformation technique is applied to carry out nonlinear analysis. For small amplitude limit, a modified KdV equation is obtained, the modification arising due to presence of magnetic field. For weakly magnetized plasma, the modified KdV equation possesses stable solitary solutions with speed and amplitude increasing temporally. The solutions are valid upto some finite time period beyond which the nonlinear wave tends to wave breaking.
- OSTI ID:
- 22113325
- Journal Information:
- Physics of Plasmas, Vol. 20, Issue 1; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
AMPLITUDES
DISPERSION RELATIONS
ELECTRON PLASMA WAVES
ELECTRON TEMPERATURE
ELECTRONS
ION ACOUSTIC WAVES
ION TEMPERATURE
KORTEWEG-DE VRIES EQUATION
LAGRANGIAN FUNCTION
MAGNETIC FIELDS
MATHEMATICAL SOLUTIONS
MODIFICATIONS
NONLINEAR PROBLEMS
PLASMA
SOLITONS
TRANSFORMATIONS