应用数学2018，Vol.31Issue(2)：357-363,7.
应用Riccati展开法求非线性分数阶偏微分方程的新精确解
New Exact Solutions for Nonlinear Fractional Partial Differential Equations via Riccati Expansion Method
摘要
Abstract
In this paper,we use the Riccati expansion method and the fractional complex transform to obtain the exact solution of nonlinear fractional Sharma–Tasso–Olever equation and the space-time fractional coupled Burgers equations. These solutions include the trigonometric solution and the hyperbolic function solution. Therefore,introducing this method for the study of nonlinear fractional differential equations is of great significance.关键词
Riccati展开法/非线性分数阶Sharma-Tasso-Olever方程/时空分数阶耦合Burgers方程/精确解Key words
Riccati expansion method/Nonlinear fractional Sharma-Tasso-Olever equation/Space-time fractional coupled Burgers equation/Exact solution分类
数理科学引用本文复制引用
杨娟,冯庆江..应用Riccati展开法求非线性分数阶偏微分方程的新精确解[J].应用数学,2018,31(2):357-363,7.基金项目
Supported by the Guizhou Province Department of Education Youth Science and Technology Talent Growth Project(Guizhou Education KY word[2016]304) （Guizhou Education KY word[2016]304）
