Preprint Article Version 1 NOT YET PEER-REVIEWED

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

  1. Department of Mathematics, Cankiri Karatekin University, Cankiri, Turkey
Version 1 : Received: 30 November 2016 / Approved: 1 December 2016 / Online: 1 December 2016 (10:17:05 CET)
Version 2 : Received: 5 December 2016 / Approved: 5 December 2016 / Online: 5 December 2016 (10:31:30 CET)

How to cite: Korkmaz, A. The Modified Kudryashov Method for the Conformal Time Fractional (3+1)-dimensional Kadomtsev-Petviashvili  and the Modified Kawahara Equations. Preprints 2016, 2016120004 (doi: 10.20944/preprints201612.0004.v1). Korkmaz, A. The Modified Kudryashov Method for the Conformal Time Fractional (3+1)-dimensional Kadomtsev-Petviashvili  and the Modified Kawahara Equations. Preprints 2016, 2016120004 (doi: 10.20944/preprints201612.0004.v1).

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.

Subject Areas

conformal time fractional (3+1)-dimensional Kadomtsev-Petviashvili equation; conformal time fractional modified Kawahara equation; modified Kudryashov method; wave solution

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