FANG Shao-mei, GUO Bo-ling. Initial-Boundary Value Problem of One Class Nonlinear Schrêdinger Equations Described in Molecular Crystals[J]. Applied Mathematics and Mechanics, 2008, 29(2): 127-132.
Citation: FANG Shao-mei, GUO Bo-ling. Initial-Boundary Value Problem of One Class Nonlinear Schrêdinger Equations Described in Molecular Crystals[J]. Applied Mathematics and Mechanics, 2008, 29(2): 127-132.

Initial-Boundary Value Problem of One Class Nonlinear Schrêdinger Equations Described in Molecular Crystals

  • Received Date: 2007-08-29
  • Rev Recd Date: 2008-01-03
  • Publish Date: 2008-02-15
  • The initial-boundary value problem of one class nonlinear Schrêdinger equations described in molecular crystals is studied.Furthermore,the existence of the global solution is obtained by means of interpolation inequality and a priori estimation.
  • loading
  • [1]
    Makhankov V G,Fedyanin V K.Soliton-like solutions of the equations that describe excitations in one-dimensional molecular crystals[J].Dokl Akad Nauk SSSR,1977,236(4):838-841.(English version)
    [2]
    Makhankov V G,Fedyanin V K.Soliton-like solution of the S3-equation perturbed by resonance interaction[J].Phys Lett A,1978,68(2):169-171. doi: 10.1016/0375-9601(78)90793-4
    [3]
    Anders Sjberg.On the Korteweg-de Vries equation: existence and uniqueness[J].J Math Anal Appl,1970,29(3):569-579. doi: 10.1016/0022-247X(70)90068-5
    [4]
    Makhankov V G.Dynamics of classical solitons (in nonintegrable systems)[J]. Phys Rep,1978,35(1):1-128. doi: 10.1016/0370-1573(78)90074-1
    [5]
    Temam R.Infinite Dimensional Dynamical Systems in Mechanics and Physics[M].New York:Springer-Verlag,2000.
  • 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 (2585) PDF downloads(606) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return