Cubic non-linearity and longitudinal surface solitary waves

被引：12
|
作者：
Porubov, Alexey V. [1 ]
Maugin, Gerard A. [2 ]
机构：
[1] Inst Problems Mech Engn, St Petersburg 199178, Russia
[2] Univ Paris 06, Inst Jean Rond Alembert, CNRS, UMR 7190, F-75252 Paris 05, France
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2009年 / 44卷 / 05期
关键词：
Non-linear wave; Surface strain solitary wave; Abnormal non-linearity;
D O I：
10.1016/j.ijnonlinmec.2008.09.003
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
It is shown that for some seismic media both quadratic and cubic non-linearities should be taken into account in the governing equation for longitudinal waves. The new equation is obtained to account for non-linear surface waves in a medium surrounding a non-linearly elastic rod. Exact solutions of the equation allow us to describe simultaneous propagation of tensile and compressive localized strain waves. Various interactions between these waves give rise to both the multi-bump and "Mexican hat" localized wave structures closer to the surface waves recently observed in experiments. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：552 / 559
页数：8
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