Exact Solutions for Three Fractional Partial Differential Equations by the (G’/G) Method

نویسندگان

  • Nina Shang
  • Bin Zheng
چکیده

In this paper, based on certain variable transformation, we apply the known (G’/G) method to seek exact solutions for three fractional partial differential equations: the space fractional (2+1)-dimensional breaking soliton equations, the space-time fractional Fokas equation, and the spacetime fractional Kaup-Kupershmidt equation. The fractional derivative is defined in the sense of modified Riemann-liouville derivative. With the aid of mathematical software Maple, a number of exact solutions including hyperbolic function solutions, trigonometric function solutions, and rational function solutions for them are obtained.

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تاریخ انتشار 2013