Multi-dimensional vortex quasi-simple waves

Multi-dimensional vortex modes of a quasi-simple wave solution is presented. These are constructed on the basis of vortex modes for ideal simple waves. A version of 2D Burgers equation is derived which is the same as that obtained for sound quasi-simple waves if neglecting the last term of the latter. Some solutions are explained in physical detail which have a localized traveling behavior. A numerical simulation is shown to support the obtained analytical solutions.