| 任意截面直渠中先锋孤立子生成问题中的生成周期和振幅(英文) |
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| 引用本文： | 徐肇廷,徐昱,李臻.任意截面直渠中先锋孤立子生成问题中的生成周期和振幅(英文)[J].中国海洋大学学报(自然科学版),1998(4). |
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| 作者姓名： | 徐肇廷 徐昱 李臻 |
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| 作者单位： | 青岛海洋大学海洋环境学院，美国马里兰大学系统号角环境实验室 |
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| 摘 要： | 借助任意截面直渠中的ｆＫｄＶ方程，理论上确定了先锋孤立子生成的平均特性。基于任意截面直渠中的ＡｆＫｄＶ方程，求得了先锋孤立子生成问题中的理论生成振幅和周期。作为例子，文中预报和比较了正方形和等腰三角形断面直渠中的生成周期和振幅。并且，理论研究也证实，对于正方形渠，当渠宽ｂ＝１时，所得的结果可退化为Ｘｕ［１］等人的结果。
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| 关 键 词： | 生成周期 生成振幅 孤立子 AfKdV方程 |
Period and Amplitude of Precursor Solitons Generated by Disturbances in a Straight Channel with Arbitrary Cross Section |
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| Xu Zhaoting,Xu Yu.Period and Amplitude of Precursor Solitons Generated by Disturbances in a Straight Channel with Arbitrary Cross Section[J].Periodical of Ocean University of China,1998(4). |
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| Authors: | Xu Zhaoting Xu Yu |
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| Abstract: | In terms of the fKdV equation in a straight channel with arbitrary section, the average characters of the precursor soliton generation at near resonance are determined theoretically. Based on the AfKdv equation in a straight chanel with arbitrary section, the theoretical generating period and amplitude in precursor soliton generation are found. As examples, comparisons of the generating period and amplitude in isosceles triangle and square section channels with the same cross section area are predicted. From the theoretical results, it is shown that when b=1 for square section channels, the results in this paper can be reduced to those of Xu et al . |
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| Keywords: | generating period generating amplitude soliton AfKdV equation |
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