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The Modified Kudryashov Method for the Conformal Time Fractional (3+1)-dimensional Kadomtsev-Petviashvili and the Modified Kawahara Equations

Submitted:

30 November 2016

Posted:

01 December 2016

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Abstract
The three dimensional conformal time fractional Kadomtsev-Petviashvili and the conformal time fractional modified Kawahara equations are solved by implementing the Kudryashov's procedure. The corresponding wave transformation reduces both equations to some ODEs. Balancing the nonlinear and the highest order derivative terms gives the structure of the solutions in the finite series form. The useful symbolic tools are used to solve the resultant algebraic systems. The solutions are expressed in explicit forms.
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