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  • 标题:Exact solutions for fractional partial differential equations by a new fractional sub-equation method
  • 本地全文:下载
  • 作者:Bin Zheng ; Chuanbao Wen
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2013
  • 卷号:2013
  • 期号:1
  • 页码:199
  • DOI:10.1186/1687-1847-2013-199
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we propose a new fractional sub-equation method for finding exact solutions of fractional partial differential equations (FPDEs) in the sense of modified Riemann-Liouville derivative, which is the fractional version of the known (G′/G) method. To illustrate the validity of this method, we apply it to the space-time fractional Fokas equation, the space-time fractional ( 2 + 1 ) -dimensional dispersive long wave equations and the space-time fractional fifth-order Sawada-Kotera equation. As a result, some new exact solutions for them are successfully established. MSC:35Q51, 35Q53.
  • 关键词:fractional sub-equation method ; fractional partial differential equations ; exact solutions ; fractional complex transformation
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