On shock wave formation in a magnetized plasma

Dark and grey compressional dispersive Alfvén solitons in plasmas

“…First, in the past, many authors 5-7 discussed non-envelope soliton 5,6 and cnoidal wave 7 solutions of the CDA waves based on Eqs. 8 Third, ignoring the electron inertial effect, Shukla et al 9 examined the effect of finite b on the shock structures. Fourth, the combined influence of dispersion and dissipation on non-stationary CDA waves in a zerob plasma has been examined by Chakrabarti et al 10 Finally, when @ðB 2 þ 2blnnÞ=@x ¼ 0 in Eq.…”

Nonlinear model for magnetosonic shocklets in plasmas

“…Equations (8) and (10) yield ρ = h, a concept of frozen-in-field lines in a magnetized plasma. Hence, we have from (9) and (10)…”

Alfvénic shock waves in a collisional magnetoplasma

“…(1) and (2) are identical to the usual nonlinear hydrodynamic equations composed of the continuity and momentum equations, which admit self-similar solutions that can exhibit density blow-up [6]. In the past, Stenflo et al [7] reported self-similar solutions of Eqs. (2) …”