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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)
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. https://doi.org/10.20944/preprints201808.0372.v1 Silambarasan, R.; Kilicman, A. Modified Kudrayshov Method to Solve Generalized Kuramoto–Sivashinsky Equation. Preprints 2018, 2018080372. https://doi.org/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.
Keywords
Kuramoto–Sivashinsky equation; modified Kudrayshov method; exact solutions; Maple graphs
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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