An Application of the Modified Expansion Method to Nonlinear Partial Differential Equation
Abstract
In this article, the travelling wave solutions of the medium equal width equation are obtained using the modified expansion method. The solution functions were obtained by selecting the appropriate parameters. It has been checked that these functions provide the MEW equation. Density, two and three dimensional graphics of the obtained solutions and other mathematical operations were found with the Mathematica software program. When the resulting solution functions are examined, it is determined that they include trigonometric, topological and singular soliton properties.
Keywords
References
- Hossain, A. K. S., & Akbar, M. A., Closed form solutions of two nonlinear equation via the enhanced (G′/G)-expansion method. Cogent Mathematics & Statistics, (2017), 4(1), 1355958.
- Eilbeck, J. C., & McGuire, G. R., Numerical study of the regularized long-wave equation. II: Interaction of solitary waves. Journal of Computational Physics, (1977), 23(1), 63-73.
- Baskonus, H.M., Bulut, H., New hyperbolic function solutions for some nonlinear partial differential equation arising in mathematical physics. Entropy (2015), Vol. 17, 4255–4270.
- Mohammadi, M., & Mokhtari, R., Solving the generalized regularized long wave equation on the basis of a reproducing kernel space. Journal of Computational and Applied Mathematics, (2011), 235(14), 4003-4014.
- Bulut, H., Sulaiman, T.A., Baskonus, H.M.: New solitary and optical wave structures to the Korteweg–deVries equation with dual-power law nonlinearity. Opt. Quant. Electron (2016),Vol. 48, 564.
- R. Fetecau and D. Levy, “Approximate model equations for water waves,” Communications in Mathematical Sciences (2005), Vol. 3, No. 2, pp. 159–170.
- Baskonus, H. M., Bulut, H., & Sulaiman, T. A. Investigation of various travelling wave solutions to the extended (2+1)-dimensional quantum ZK equation. The European Physical Journal Plus, (2017) 132(11), 482.
- He, J. H., & Wu, X. H. Exp-function method for nonlinear wave equations. Chaos, Solitons & Fractals, (2006) 30(3), 700-708.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Conference Paper
Publication Date
December 29, 2018
Submission Date
July 15, 2018
Acceptance Date
November 2, 2018
Published in Issue
Year 2018 Volume: 10