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Interaction of magnetoacoustic solitons in plasmas with dispersion effects through electron inertia
Author(s) -
Parveen Shahida,
Mahmood Shahzad,
Qamar Anisa,
Hussain Sajjad,
Adnan Muhammad
Publication year - 2018
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.201800009
Subject(s) - physics , electron , plasma , amplitude , korteweg–de vries equation , magnetohydrodynamic drive , magnetic field , magnetohydrodynamics , soliton , dispersion (optics) , quantum electrodynamics , atomic physics , condensed matter physics , nonlinear system , quantum mechanics
The head‐on collision between two magnetoacoustic solitons is investigated in a magnetized plasma containing inertial cold ions and warm electrons. A two‐fluid magnetohydrodynamic (MHD) model is used to study the magnetoacoustic solitons interaction in plasmas. The magnetoacoustic wave dispersion effects appearing through electron inertial length (skin depth) are also included in the model. By using the extended Poincaré–Lighthill–Kuo (PLK) method, the Korteweg–de Vries (KdV) equations are derived for the low amplitude left and right moving magnetoacoustic solitons, their trajectories, and corresponding phase shifts after their elastic collisions are obtained analytically and examined numerically as well. It is found that only positive polarity (compressive) soliton structures of magnetoacoustic waves are formed. The profiles of head‐on collision and the time evolution of two compressive interacting magnetoacoustic solitons are also presented for illustration. The effect of plasma beta, which depends on plasma density, electron temperature, and magnetic field intensity, on the phase shift of the interacting magnetoacoustic solitons is also examined.