Journal of Shanghai University(Natural Science Edition) ›› 2016, Vol. 22 ›› Issue (4): 469-476.doi: 10.3969/j.issn.1007-2861.2014.05.021

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New exact solutions of some nonlinear fractional partial differential equation

LIU Yinlong, XIA Tiecheng, LIU Zeyu   

  • Received:2015-02-13 Online:2016-08-30 Published:2016-08-30

Abstract:

By using an improved method of fractional sub-equation, some nonlinear fractional evolution equations are solved including fractional Burgers equation, coupled fractional Burgers equation and fractional Klein-Gordon equation. New exact solutions of these nonlinear fractional nonlinear evolution equations are obtained.

Key words: coupled fractional Burgers equation ,  fractional Burgers equation ,  fractional Klein-Gordon equation, improved method of fractional sub-equation