Effects of shear and bulk viscosity on head-on collision of localized waves in high density compact stars

Head on collision of localized waves in cold and dense hadronic matter with and without shear and bulk viscosities is investigated. Non-relativistic dynamics of propagating waves is studied using the hydrodynamics description of the system and suitable equation of state. It will be shown that the localized waves are described by solutions of the Burgers equation. Simulations show that the propagating waves in viscous media travel longer distances in comparison with inviscid similar fluids. In this way, the traveling distance of localized waves is a suitable criterion for evaluating the viscosity of hadronic fluids.