Alfvén soliton in a low-beta plasma

Abstract

An exact nonlinear Alfvén wave in a low-β plasma is investigated. Super Alfvén solitons with a density depression are found to exist. The analytical result for the small-amplitude soliton is given.

Exact nonlinear dust kinetic Alfvén waves in a dust–ion plasma

“…Later, several other investigations on the nonlinear Alfvén waves [10]- [14] in e-i plasmas were carried out. For example, Seyler and Lysac [13] have extended the work of Hasegawa and Mima [9] and Shukla et al [11] by considering the nonlinear propagation of low-frequency (ω < ω ce , where ω ce is the electron cyclotron frequency) dispersive inertial and KAWs and by retaining the linear and nonlinear perpendicular ion inertial and ion Lorentz forces. They showed that the planar dispersive Alfvénic solitary structures cannot exist.…”

Recent progress in nonlinear kinetic Alfvén waves

“…Neglecting the terms proportional to Q, namely 3 and 4 , in Eq. (57), the Sagdeev potentials obtained by Hasegawa and Mima (1976) and Shukla et al (1982) can be recovered from Eq. (57) in the limits of α 1 and α 1, respectively.…”

“…The correction effect of a finite β was considered by Yu and Shukla (1978). A similar case, but for β Q 1, was investigated by Shukla et al (1982). They also showed the existence of SKAWs, but accompanied by a dip density soliton.…”

“…Wu et al (1995) first derived an exactly analytical solution of SKAWs with an arbitrary amplitude in a low-β plasma with β/2 Q. Taking the cold ion approximation of T i T e , Wu et al (1996b) extended the works of Hasegawa and Mima (1976) (for α 1) and Shukla et al (1982) (for α 1) to more general ranges for the parameter α and took account of both the electron temperature and inertia terms simultaneously. They obtained a generalized Sagdeev equation and found a general criterion for the existence of SKAWs.…”

Auroral electron acceleration by dissipative solitary kinetic Alfvén waves

“…In a low-␤ (␤ӶQ) plasma magnetized by a uniform ambient magnetic field B 0 along the z direction, the electron motion equation parallel to B 0 , including the collisional resistance, can be written as follows: 11,12,16,18 Ϫ͑e…”