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文章基本信息

  • 标题:On Perturbative Cubic Nonlinear Schrodinger Equations under Complex Nonhomogeneities and Complex Initial Conditions
  • 本地全文:下载
  • 作者:Magdy A. El-Tawil ; Maha A. El-Hazmy
  • 期刊名称:Differential Equations and Nonlinear Mechanics
  • 印刷版ISSN:1687-4099
  • 电子版ISSN:1687-4102
  • 出版年度:2009
  • 卷号:2009
  • DOI:10.1155/2009/395894
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    A perturbing nonlinear Schrodinger equation is studied under general complex nonhomogeneities and complex initial conditions for zero boundary conditions. The perturbation method together with the eigenfunction expansion and variational parameters methods are used to introduce an approximate solution for the perturbative nonlinear case for which a power series solution is proved to exist. Using Mathematica, the symbolic solution algorithm is tested through computing the possible approximations under truncation procedures. The method of solution is illustrated through case studies and figures.

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