A New Method of the Time-Space Fractional Breaking Soliton Equations
In order to seek new exact solutions of a class of space-time fractional breaking soliton equations,a new method—the extended(G'/G)-expansion method,is proposed in this paper.First,the original fractional partial differential equations are transformed into integer nonlinear differential equation by traveling wave transformation.Secondly,the theory of homogeneous principle is combined with the addition of negative power terms,and make the same power coefficient to zero,and then use the mathematical software MATLAB to solve the corresponding coefficient equations,new exact solutions of the equations with parameter form are obtained.The results show that the extended(G'/G)-expansion method can enrich the exact solutions of this kind of fractional partial differential equation.
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