Steepened wave in two-phase Chaplygin flows comprising a source term

Abstract This manuscript brings some qualitative features of steepened wave in isentropic Chaplygin two-phase flows with a non-constant source term via Lie group transformation. The transport equation for steepened wave is determined. The behaviour of amplitude of steepened wave is investigated using the numerical solution of the system. The effects of inclination of the flow on the amplitude of singular surface are also shown.