%0 Journal Article
%T A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Ekici, Mehmet
%A Sonmezoglu, Abdullah
%A Zayed, Elsayed M. E.
%D 2014
%\ 07/01/2014
%V 2
%N 3
%P 153-170
%! A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics
%K Fractional sub-equation method
%K fractional partial differential equations
%K Exact solutions
%K modified Riemann-Liouville derivative
%R
%X In this paper, a new fractional sub-equation method is proposed for finding exact solutions of fractional partial differential equations (FPDEs) in the sense of modified Riemann-Liouville derivative. With the aid of symbolic computation, we choose the space-time fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation in mathematical physics with a source to illustrate the validity and advantages of the novel method. As a result, some new exact solutions including solitary wave solutions and periodic wave solutions are successfully obtained. The proposed approach can also be applied to other nonlinear FPDEs arising in mathematical physics.
%U https://cmde.tabrizu.ac.ir/article_3267_6fb1541e5549a21636a8332f6f894880.pdf