A note on acoustic propagation in power-law fluids: Compact kinks, mild discontinuities, and a connection to finite-scale theory

► This paper examines weakly non-linear acoustic waves in power-law fluids. ► Exact traveling waves solutions are presented. ► The existence of compact and algebraic kinks is established. ► A generalized version of Burgers' equation is derived. ► Connections between power-law fluids and finite-scale theory are noted.