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  • 标题:Formulation and solution to time-fractional generalized Korteweg-de Vries equation via variational methods
  • 本地全文:下载
  • 作者:Youwei Zhang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:65
  • DOI:10.1186/1687-1847-2014-65
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper presents the formulation of the time-fractional generalized Korteweg-de Vries equation (KdV) using the Euler-Lagrange variational technique in the Riemann-Liouville derivative sense and derives an approximate solitary wave solution. Our results show that He’s variational-iteration method is a very efficient technique for finding the solution of the proposed equation and extend the existing results.
  • 关键词:Riemann-Liouville fractional differential operator ; Euler-Lagrange equation ; Riesz fractional derivative ; generalized KdV equations ; He’s variational-iteration method ; solitary wave
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