Existence of traveling wave solutions of a high-order nonlinear acoustic wave equation

In this paper, we present an analytical study of a high-order acoustic wave equation in one dimension. We reformulate a previously given equation in terms of an expansion of the acoustic Mach number. We search for non-trivial traveling wave solutions to this equation, and also discuss the accuracy of acoustic wave equations in terms of the range of Mach numbers for which they are valid.

Min Chen (chen@math.purdue.edu)