Conference Paper

An Application of the Modified Expansion Method to Nonlinear Partial Differential Equation

Volume: 10 December 29, 2018
EN

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

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. R. Fetecau and D. Levy, “Approximate model equations for water waves,” Communications in Mathematical Sciences (2005), Vol. 3, No. 2, pp. 159–170.
  7. 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.
  8. 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

Authors

Hasan Bulut This is me
Türkiye

Publication Date

December 29, 2018

Submission Date

July 15, 2018

Acceptance Date

November 2, 2018

Published in Issue

Year 2018 Volume: 10

APA
Aktürk, T., Bulut, H., & Yel, G. (2018). An Application of the Modified Expansion Method to Nonlinear Partial Differential Equation. Turkish Journal of Mathematics and Computer Science, 10, 202-206. https://izlik.org/JA98BM22WS
AMA
1.Aktürk T, Bulut H, Yel G. An Application of the Modified Expansion Method to Nonlinear Partial Differential Equation. TJMCS. 2018;10:202-206. https://izlik.org/JA98BM22WS
Chicago
Aktürk, Tolga, Hasan Bulut, and Gülnur Yel. 2018. “An Application of the Modified Expansion Method to Nonlinear Partial Differential Equation”. Turkish Journal of Mathematics and Computer Science 10 (December): 202-6. https://izlik.org/JA98BM22WS.
EndNote
Aktürk T, Bulut H, Yel G (December 1, 2018) An Application of the Modified Expansion Method to Nonlinear Partial Differential Equation. Turkish Journal of Mathematics and Computer Science 10 202–206.
IEEE
[1]T. Aktürk, H. Bulut, and G. Yel, “An Application of the Modified Expansion Method to Nonlinear Partial Differential Equation”, TJMCS, vol. 10, pp. 202–206, Dec. 2018, [Online]. Available: https://izlik.org/JA98BM22WS
ISNAD
Aktürk, Tolga - Bulut, Hasan - Yel, Gülnur. “An Application of the Modified Expansion Method to Nonlinear Partial Differential Equation”. Turkish Journal of Mathematics and Computer Science 10 (December 1, 2018): 202-206. https://izlik.org/JA98BM22WS.
JAMA
1.Aktürk T, Bulut H, Yel G. An Application of the Modified Expansion Method to Nonlinear Partial Differential Equation. TJMCS. 2018;10:202–206.
MLA
Aktürk, Tolga, et al. “An Application of the Modified Expansion Method to Nonlinear Partial Differential Equation”. Turkish Journal of Mathematics and Computer Science, vol. 10, Dec. 2018, pp. 202-6, https://izlik.org/JA98BM22WS.
Vancouver
1.Tolga Aktürk, Hasan Bulut, Gülnur Yel. An Application of the Modified Expansion Method to Nonlinear Partial Differential Equation. TJMCS [Internet]. 2018 Dec. 1;10:202-6. Available from: https://izlik.org/JA98BM22WS