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流动对两层流体界面孤立波的影响

钟建新, 颜家壬

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
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
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
Citation: 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
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. CSTR: 32049.14.11-2065.1990.06.004
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. CSTR: 32049.14.11-2065.1990.06.004
ZHONG Jianxin, YAN Jiaren. The Influence of Basic Currents on Interfacial Solitary Waves[J]. ACTA ACUSTICA, 1990, 15(6): 432-436. CSTR: 32049.14.11-2065.1990.06.004
Citation: ZHONG Jianxin, YAN Jiaren. The Influence of Basic Currents on Interfacial Solitary Waves[J]. ACTA ACUSTICA, 1990, 15(6): 432-436. CSTR: 32049.14.11-2065.1990.06.004

流动对两层流体界面孤立波的影响

基金项目: 

国家自然科学基金资助的课题。

The Influence of Basic Currents on Interfacial Solitary Waves

  • 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。
    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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出版历程
  • 收稿日期:  1989-10-03
  • 网络出版日期:  2022-08-07

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