Existence of traveling wave solutions of a high-order nonlinear acoustic wave equation |
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| Authors: | Min Chen Timothy Walsh |
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| Institution: | a Department of Mathematics, Purdue University, 150 N. University Street, IN 47907-2067, United States
b Sandia National Laboratories, PO Box 5800, Albuquerque, NM 87185, United States |
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| Abstract: | In this Letter, we present an analytical study of a high-order acoustic wave equation in one dimension, and 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. |
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| Keywords: | Nonlinear acoustic waves Traveling wave solutions |
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