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Open AccessArticle

Modified Kudryashov Method to Solve Generalized Kuramoto-Sivashinsky Equation

1
Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, UPM Serdang 43400, Malaysia
2
Department of Information Technology, School of Information Technology and Engineering, Vellore Institute of Technology, Vellore 632014, India
*
Author to whom correspondence should be addressed.
Symmetry 2018, 10(10), 527; https://doi.org/10.3390/sym10100527
Received: 21 September 2018 / Revised: 10 October 2018 / Accepted: 17 October 2018 / Published: 21 October 2018
(This article belongs to the Special Issue Integral Transforms and Operational Calculus)
The generalized Kuramoto–Sivashinsky equation is investigated using the modified Kudryashov method for the new exact solutions. The modified Kudryashov method converts the given nonlinear partial differential equation to algebraic equations, as a result of various steps, which upon solving the so-obtained equation systems yields the analytical solution. By this way, various exact solutions including complex structures are found, and their behavior is drawn in the 2D plane by Maple to compare the uniqueness and wave traveling of the solutions. View Full-Text
Keywords: generalized Kuramoto–Sivashinsky equation; modified Kudryashov method; exact solutions; Maple graphs generalized Kuramoto–Sivashinsky equation; modified Kudryashov method; exact solutions; Maple graphs
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Kilicman, A.; Silambarasan, R. Modified Kudryashov Method to Solve Generalized Kuramoto-Sivashinsky Equation. Symmetry 2018, 10, 527.

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