Comparison of Riemann Solutions for Non-isentropic Modified and Pure Chaplygin Gas Dynamics

In this paper,we investigate the Riemann solutions of the non-isentropic Euler equations for the modified Chaplygin gas and the pure Chaplygin gas,which are the set of all rarefaction waves,shock waves,contact discontinuity andδ-shock waves.Under some appropriate conditions,by studing the limiting behavior,we find that the Riemann solutions of modified Chaplygin gas is the same as pure Chaplygin gas including theδ-shock waves.