 magnetohydrodynam shock wave magnetohydrodynam shock wave earlier attempt find jump condit hydromagnet shock wave 1 2 3 simplifi assumpt shape shock dimens charact motion analysi write jump condit higher degre gener 4 shock condit magnetohydrodynam flow deriv full gener help transport equat thoma 5 deriv shock condit convent ga dynam purpos paper cover gener case flow field quantiti downstream shock wave express separ term valu quantiti upstream shock wave rearrang form equat effect shock wave easili read shock condit line convent ga dynam 