In the present investigation, nonstandard analysis is used to derive the jump conditions for one dimensional shock wave in a compressible, inviscid, nonideal gas in the presence of magnetic field. Here, it is assumed that the electrical conductivity of the gas is infinite and the direction of the magnetic field is tangential to the trajectories of the gas particles. It is also assumed that the shock thickness occurs at infinitesimal interval and jump functions in flow parameters are smooth across this interval. The distribution of flow parameters across the shock wave are expressed in terms of Heaviside functions and Dirac Delta measures. It is also assessed as to how the different parameters such as the parameter for nonidealness, Mg, the magnetic Mach number and β, shock strength affect the jump function profiles across the shock wave on the bounded infinitesimal interval(1,1 + s), where s is fixed infinitesimal value.
Nonstandard analysis, non-ideal gas, magnetic field, shock wave front
