Preprint Article Version 1 This version is not peer-reviewed

Modified Kudrayshov Method to Solve Generalized Kuramoto–Sivashinsky Equation

Version 1 : Received: 21 August 2018 / Approved: 21 August 2018 / Online: 21 August 2018 (06:06:19 CEST)
Version 2 : Received: 21 September 2018 / Approved: 26 September 2018 / Online: 26 September 2018 (04:22:03 CEST)

How to cite: Silambarasan, R.; Kilicman, A. Modified Kudrayshov Method to Solve Generalized Kuramoto–Sivashinsky Equation. Preprints 2018, 2018080372 (doi: 10.20944/preprints201808.0372.v1). Silambarasan, R.; Kilicman, A. Modified Kudrayshov Method to Solve Generalized Kuramoto–Sivashinsky Equation. Preprints 2018, 2018080372 (doi: 10.20944/preprints201808.0372.v1).

Abstract

The generalized Kuramoto–Sivashinsky equation is investigated using the modified Kudrayshov equation for the exact analytical solution. The modified Kudrayshov method converts the nonlinear partial differential equation to algebraic equations by results of various steps which on solving the so obtained equation systems yields the analytical solution. By this way various exact including complex solutions are found and drawn their behaviour in complex plane by Maple to compare the uniqueness of various solutions.

Subject Areas

Kuramoto–Sivashinsky equation; modified Kudrayshov method; exact solutions; Maple graphs

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