Fan Engui, Zhang Hongqing. A New Approach to Backlund Transformations of Nonlinear Evolution Equations[J]. Applied Mathematics and Mechanics, 1998, 19(7): 603-608.
Citation: Fan Engui, Zhang Hongqing. A New Approach to Backlund Transformations of Nonlinear Evolution Equations[J]. Applied Mathematics and Mechanics, 1998, 19(7): 603-608.

A New Approach to Backlund Transformations of Nonlinear Evolution Equations

  • Received Date: 1997-03-26
  • Publish Date: 1998-07-15
  • In this paper.a new approach to Backlund transformations of nonlinear evolution equations is presented.The results obtained by this procedure are completely the sameas that by Painleve truncating expansion.
  • loading
  • [1]
    J.Weiss,M.Tabor and G.Carnevale,The Painleve property for partial differentialequations,J.Math.Phys.,24,3(1983),522.
    [2]
    屠规彰,Boussinesq方程的Backlund变换与守恒律,应用数学学报4,(1)(1981),63-68.
    [3]
    程艺、李翊神等,Burgers方程的对称,Backlund变换和Painleve性质之间的联系,应用数学学报,14,2(1991),180-184.
    [4]
    曾云波,递推算子和 Painleve 性质,数学年刊,12A,1(1991),78-88.
    [5]
    J.Weiss,The Painleve property and Backlund transformations for the sequence ofBoussinesq equations,J.Math.Phys.,26,2(1985),258-269.
    [6]
    田畴,不同演化方程的解之间的 Baklund 变换,科学通报,32,21(1987),1601-1605.
    [7]
    M.J.Ablowitz and P.A.Clarkson,Solitons,Nonlinear Evolution Equations and InverseScattering,Cambridge University Press(1991),8-68,359-420.
    [8]
    郭柏灵,《非线性演化方程》,上海科技出版社(1995),162-188.
  • 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 (1965) PDF downloads(864) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return