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流动对两层流体界面孤立波的影响
引用本文:钟建新, 颜家壬. 流动对两层流体界面孤立波的影响[J]. 声学学报, 1990, 15(6): 432-436. DOI: 10.15949/j.cnki.0371-0025.1990.06.004
作者姓名:钟建新  颜家壬
作者单位:湘潭大学物理系(钟建新),湘潭大学物理系(颜家壬)
摘    要:本文研究了两水平固壁间具有基本流动的两层不可压缩无粘无旋流体的浅水界面孤立波,利用多重尺度摄动方法求得了界面孤立波所满足的KdV方程和相应的单孤立波解,讨论了基本流动对界面孤立波的影响。

收稿时间:1989-10-04

The Influence of Basic Currents on Interfacial Solitary Waves
ZHONG Jianxin, YAN Jiaren. The Influence of Basic Currents on Interfacial Solitary Waves[J]. ACTA ACUSTICA, 1990, 15(6): 432-436. DOI: 10.15949/j.cnki.0371-0025.1990.06.004
Authors:ZHONG Jianxin  YAN Jiaren
Abstract:In this paper, by using the perturbation method of multiple scales, the long, weak nonlinear interfacial waves in a two-layer fluid confined by two horizontal rigid walls are studied, providing that two layers of fluid show different basic currents, A Korteweg-de Vries equation satisfied by the first-order elevation of the interface is obtained. The influence of currents on solitary waves is discussed.
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