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Higher‐order inertial Alfvén wave dressed solitons, quasiperiodic structures, and chaos in plasmas
Author(s) -
Mahmood Shahzad,
UrRehman Hafeez,
Ali Munazza Zulfiqar,
Basit Abdul
Publication year - 2021
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.202000211
Subject(s) - physics , korteweg–de vries equation , quasiperiodic function , soliton , dispersion relation , plasma , amplitude , alfvén wave , quantum electrodynamics , electron , magnetic field , nonlinear system , computational physics , classical mechanics , quantum mechanics , condensed matter physics , magnetohydrodynamics
The higher‐order, low‐amplitude inertial Alfvén wave (IAW) dressed soliton and chaos are investigated in a magnetized plasma. In the linear limit, the dispersion relation for propagation of IAWs in plasmas is also obtained in the presence of electron thermal effects and illustrated numerically. It is found that the electron inertial length plays an important role for wave dispersion effects and its phase speed is increased on including the electron temperature in the model. The reductive perturbation method is employed to obtain the first‐order IAW Korteweg–de Vries (KdV) soliton and second‐order dressed soliton solutions analytically, which gives electron density dip (or rarefactive) structure and moves with super Alfvénic speed in plasmas. The numerical illustrations of the KdV and dressed IAW solitons are also presented by using the laboratory and space plasma parameters given in the literature. Furthermore, a numerical study of quasi‐periodicity and chaotic behaviour of IAWs in the presence of external periodic force is also discussed in detail. The effects of plasma beta (which depends on plasma density, electron temperature, and magnetic field intensity) and obliqueness of the wave propagation on the formation of nonlinear Alfvénic wave structures have also been presented.