Pan Xiu-de. Solitary Wave and Similarity Solutions of the Combined KdV Equation[J]. Applied Mathematics and Mechanics, 1988, 9(3): 281-285.
Citation: Pan Xiu-de. Solitary Wave and Similarity Solutions of the Combined KdV Equation[J]. Applied Mathematics and Mechanics, 1988, 9(3): 281-285.

Solitary Wave and Similarity Solutions of the Combined KdV Equation

  • Received Date: 1986-12-26
  • Publish Date: 1988-03-15
  • In this paper,we discuss a property of solitary wave solutions of the combined KdV equation.Meantime,we point out that the combined KdV equation can be reduced to the Painleve equation.Furthermore,utilizing special transformations of similarity variables,we derive a kind of new partial differential equations.
  • loading
  • [1]
    Toda M.,Progr,Theor.Phys.Suppl.,45(1970) 174.
    [2]
    戴世强,两层流体界面上的孤立波,应用数学和力学,3,6(1982),721-731.
    [3]
    Wadati Miki,Wave propagation in nonlinear lattice,Ⅰ.Ⅱ.,J.P.S.38,3 Japan(1975),673-686.
    [4]
    Ablowitz,M.J.and H.Segur,Phys.Rev.Lett.,38(1977),1103.
    [5]
    王明亮,KdV-Burgers方程的孤立波解的性质,兰州大学学报,19,(1983),9-18.
    [6]
    Bluman,G.W.and J.D.Cole,Similarity,Methods for Differential Equation,Springer,Berlin(1974).
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1535) PDF downloads(741) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return