梅立泉
  • 教授
  • 博士生导师
  • 硕士生导师
  • 性别:男
  • 学历:博士研究生毕业
  • 学位:博士
  • 所在单位:数学与统计学院
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  • 学科:数学
  • 学科:数学
论文成果
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The improved fractional sub-equation method and its applications to the space–time fractional differential equations in fluid mechanics
  • 发布时间:2025-04-30
  • 论文名称:The improved fractional sub-equation method and its applications to the space–time fractional differential equations in fluid mechanics
  • 发表刊物:Physics Letters A
  • 摘要:By introducing a new general ansätz, the improved fractional sub-equation method is proposed to construct analytical solutions of nonlinear evolution equations involving Jumarie’s modified Riemann–Liouville derivative. By means of this method, the space–time fractional Whitham–Broer–Kaup and generalized Hirota–Satsuma coupled KdV equations are successfully solved. The obtained results show that the proposed method is quite effective, promising and convenient for solving nonlinear fractional differential equations.

    SCI引用120
  • 合写作者:S. Guo, L. Mei, Y. Li , Y. Sun
  • 是否译文:否
  • 发表时间:2012-01-09
  • 合写作者:S. Guo, L. Mei, Y. Li , Y. Sun