<p>Shock waves in the solar atmosphere play a fundamental role in the mechanisms underlying coronal transients such as solar flares and coronal mass ejections, by compressing and heating coronal plasma, transporting eruptive energy, and accelerating energetic particles. These shocks give rise to phenomena including interplanetary shocks. Within the framework of the piston model, the bright and dark features of a transient represent the gas-dynamical response of dense plasma ejected into the corona. In this context, we investigate the propagation of shock waves in non-ideal solar plasma under the influence of a strong gravitational field. We examine the behavior of shock waves and their flow profile near the piston associate with the compressed and rarefied regions. The present analysis highlight the role of non-ideal effects in generalized geometries on shock propagation and their relevance to solar disturbances.</p>