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)