Riemann problem for the Chaplygin gas equations for several classes of non-constant initial data

Abstract

Gupta et al. (2020) had obtained a nontrivial solution for the Chaplygin gas equations and the generalized Riemann problem for the Chaplygin gas equations was solved by them through a rarefaction wave. In this paper, we explain that the existence of a rarefaction wave is not possible and that the solution obtained in Gupta et al. (2020) is also in error. In fact, in this paper, we solved the generalized Riemann problem through a characteristic shock(s). For several classes of non-constant and smooth initial data, the solution to the generalized Riemann problem is presented.