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

Abstract

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.