Abstract
By a “direct” method, without using group analysis varational principles, all first-order conservation laws (CLs) for magnetohydrodynamics are derived restriction on the fluid state where p is the pressure v-volume n-entropy and f,g-arbitrary functions. This is the restriction at which the CLS of the one-dimensional magnetohydrodynamics in Lagrange variables and fluid dynamics are obtanied in [1,2,3,4,]