留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

矩形槽浅水表面波的二次谐波共鸣*

黄国翔 颜家壬 邹凤梧

黄国翔, 颜家壬, 邹凤梧. 矩形槽浅水表面波的二次谐波共鸣*[J]. 应用数学和力学, 1988, 9(10): 945-950.
引用本文: 黄国翔, 颜家壬, 邹凤梧. 矩形槽浅水表面波的二次谐波共鸣*[J]. 应用数学和力学, 1988, 9(10): 945-950.
Huang Guo-xiang, Yan Jia-ren, Zou Feng-wu. The Second Harmonic Resonance for the Shallow Water Surface-Wave in a Rectangular Trough[J]. Applied Mathematics and Mechanics, 1988, 9(10): 945-950.
Citation: Huang Guo-xiang, Yan Jia-ren, Zou Feng-wu. The Second Harmonic Resonance for the Shallow Water Surface-Wave in a Rectangular Trough[J]. Applied Mathematics and Mechanics, 1988, 9(10): 945-950.

矩形槽浅水表面波的二次谐波共鸣*

基金项目: * 国家自然科学基金

The Second Harmonic Resonance for the Shallow Water Surface-Wave in a Rectangular Trough

  • 摘要: 本文用多重尺度微扰技术研究了矩形槽中浅水表面波的二次谐波共鸣现象.结果表明,波的包络仅与时间慢变量有关.作者严格地求解了波包络方程,并对结果进行了讨论.
  • [1] Wilton, J.R., On ripples. Phil. Mag., 29, 6(1915), 688-700.
    [2] Simmons, W.F., A variational method for weak resonant wave interaction. Ph. D. Thsis, Department of Mechanics, The Johns Hopkins University, see also Proc. Roy. Soc. Land. A 309(1969). 551.
    [3] McGoldrick, L.F., On Wilton's ripples: A special case of resonance interactions, J. Fluid Mech., 42(1970). 193-200.
    [4] Wu Jun-ru, R. Keolian and I. Rudnick, Observation of a nonpropagation hydrodynamic soliton. Phvs. Rev. Lett., 52(1984). 1421.
    [5] 吴君如,A.Lairaza,I.Rudnick,水表面波矩型谐振器非线性共振曲线的测定,物理学报,6(1885),796-799
    [6] Larraza, A. and S. Putterman, Theory of nonpropagation surface wave solitons, J. Fluid Mech,. 148(1984). 443.
    [7] Miles, J. W., Parametrically excited solitary wave, J, Fluid Mech., 148(1984), 450.
    [8] Dodd, R,K. et al., Solitons and Nonlinear Wave Equations. Chap. 8(1982).
    [9] 王竹溪、郭敦仁,《特殊函数概论》,第十章,科学出版社(1979).
  • 加载中
计量
  • 文章访问数:  1734
  • HTML全文浏览量:  95
  • PDF下载量:  410
  • 被引次数: 0
出版历程
  • 收稿日期:  1987-10-16
  • 刊出日期:  1988-10-15

目录

    /

    返回文章
    返回