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Preserved in Portico This version is not peer-reviewed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)
Version 2 : Received: 21 September 2018 / Approved: 26 September 2018 / Online: 26 September 2018 (04:22:03 CEST)
A peer-reviewed article of this Preprint also exists.
Kilicman, A.; Silambarasan, R. Modified Kudryashov Method to Solve Generalized Kuramoto-Sivashinsky Equation. Symmetry 2018, 10, 527. Kilicman, A.; Silambarasan, R. Modified Kudryashov Method to Solve Generalized Kuramoto-Sivashinsky Equation. Symmetry 2018, 10, 527.
Abstract
The generalized Kuramoto–Sivashinsky equation is investigated using the modified Kudrayshov method for the exact analytical solution. The modified Kudrayshov method converts the nonlinear partial differential equation to algebraic equations, as a result of various steps, which on solving the so obtained equation systems yields the analytical solution. By this way various exact solutions including complex structures are found and drawn their behaviour in complex plane by Maple to compare the uniqueness of solutions.
Keywords
generalized 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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