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一种改善了非线性和色散性的Boussinesq方程模型

张殿新 陶建华

张殿新, 陶建华. 一种改善了非线性和色散性的Boussinesq方程模型[J]. 应用数学和力学, 2008, 29(7): 813-824.
引用本文: 张殿新, 陶建华. 一种改善了非线性和色散性的Boussinesq方程模型[J]. 应用数学和力学, 2008, 29(7): 813-824.
ZHANG Dian-xin, TAO Jian-hua. A Boussinesq Model With Improved Nonlinearity and Dispersion[J]. Applied Mathematics and Mechanics, 2008, 29(7): 813-824.
Citation: ZHANG Dian-xin, TAO Jian-hua. A Boussinesq Model With Improved Nonlinearity and Dispersion[J]. Applied Mathematics and Mechanics, 2008, 29(7): 813-824.

一种改善了非线性和色散性的Boussinesq方程模型

基金项目: 国家自然科学基金资助项目(50509018)
详细信息
    作者简介:

    张殿新(1980- ),女,天津人,博士生(联系人.Tel:+86-22-27890726;E-mail:dianxinz@ho-maail.com);陶建华,教授(Tel:+86-22-27404403;E-mail:jhtao@tju.edu.cn).

  • 中图分类号: O353.2

A Boussinesq Model With Improved Nonlinearity and Dispersion

  • 摘要: 推导了一种在不平底上的新的Boussinesq方程.在不增加方程的最高导数项的阶数的情况下提高了模型方程的非线性.为了提高模型的色散性,引入长波近似,通过调节待定系数来使模型的色散性达到Padé(2,2).对模型方程进行了非线性、线性色散性和线性浅化性分析,分析表明此模型在非线性、色散性和浅化性上都有所提高.将计算结果与实验数据做了比较,结果显示模型更好的符合了实验数据.
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出版历程
  • 收稿日期:  2008-03-19
  • 修回日期:  2008-05-15
  • 刊出日期:  2008-07-15

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