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

被引：9
|
作者：
Chen, Min [1 ]
Torres, Monica [1 ]
Walsh, Timothy [2 ]
机构：
[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
[2] Sandia Natl Labs, Albuquerque, NM 87185 USA
来源：
PHYSICS LETTERS A | 2009年 / 373卷 / 11期
基金：
美国国家科学基金会;
关键词：
Nonlinear acoustic waves; Traveling wave solutions; HELMHOLTZ RESONATORS; SOLITARY WAVES; PROPAGATION; TUNNEL; ARRAY;
D O I：
10.1016/j.physleta.2009.01.042
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. (C) 2009 Published by Elsevier B.V.
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页码：1037 / 1043
页数：7
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