TY - JOUR AU - Ledenev, V. AB - V. G. Ledenev UDC 533.954 An exact solution is found for the equations of two-fluid magnetohydrodynamics with "ion disper- sion"; it describes the structure of a shock wave propagating along the magnetic field in a low- pressure plasma (p << H~/8~). Phenomena connected with shock waves propagating along a magnetic field are of interest in the solution of certain problems in astrophysics. They may be connected, in particular, with type II solar radio-emission bursts [i]. Here we investigate the structure of a shock wave propagating in a plasma having a kinetic pressure that is small compared with the pressure of the magnetic field ("switch-on" shock). The Chew-Goldberger-Low approximation was used in [2] to describe slow magnetohydrodynamic shock waves. In our case, the plasma kinetic pressure is assumed to be small and isotropic; thus, the wave structure may be described with the aid of a simpler system of equations of two-fluid magnetohydrodynamics with "ion dispersion" [3] for which an exact solution may be found: 0__~ + (v V) v = -- ~ [/4 rot HI; (1) 9t 4r, tnn O_HH rot [vH] + AH+- rot [tt,otHl ; (2) Ot 4 ~: " 4 ~. e On --+ div(nv) =0, divH= TI - Structure of “switch-on” shock waves JO - Radiophysics and Quantum Electronics DO - 10.1007/BF01037104 DA - 2005-01-08 UR - https://www.deepdyve.com/lp/springer-journals/structure-of-switch-on-shock-waves-jgnUuRhmSJ SP - 1176 EP - 1178 VL - 18 IS - 11 DP - DeepDyve ER -