Research Article

Generalized (G'/G) - Expansion Method for Some Soliton Wave Solution of (2+1)-Dimensional Dispersive Long Wave Equation (DLWE)

Volume: 1 Number: 2 August 30, 2019
TR

Generalized (G'/G) - Expansion Method for Some Soliton Wave Solution of (2+1)-Dimensional Dispersive Long Wave Equation (DLWE)

Abstract

In this article, we have found some soliton wave solutions of the (2 + 1) -dimensional dispersive long wave equation using the generalized  - expansion method. For this equation, we obtained hyperbolic function solutions, exponential function solutions and rational function solutions. We also saw that the solutions provided the equation using Mathematica 11.2 and we showed the graphical performance of some of the solutions found.

Keywords

References

  1. [1] L. Debtnath, Nonlinear Partial Differential Equations for Scientist and Engineers. Boston: MA- Birkhauser. 1997.
  2. [2] A.M. Wazwaz, Partial Differential Equations: Methods and Applications. Rotterdam: Balkema. 2002.
  3. [3] Y. Shang, “Backlund transformation, Lax pairs and explicit exact solutions for the shallow water waves equation”, Applied Math.Comput., 187, 1286-1297, 2007.
  4. [4] T.L. Bock, M.D. Kruskal, “A two-parameter Miura transformation of the Benjamin-Ono equation”, Physics Letters A, 74 , 173-176, 1979.
  5. [5] V.B. Matveev, M.A. Salle, Darboux Transformations and Solitons, Berlin: Springer , 1991.
  6. [6] A.M. Abourabia, M.M. El Horbaty, “On solitary wave solutions for the two-dimensional nonlinear modified Kortweg-de Vries-Burger equation”, Chaos Solitons and Fractals, 29, 354-364, 2006.
  7. [7] W. Malfliet, “Solitary wave solutions of nonlinear wave equations”, American Journal of Physics, 60, 650-654, 1992.
  8. [8] Y. Chuntao, “A simple transformation for nonlinear waves”, Physics Letters A, 224, 77-84, 1996.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

August 30, 2019

Submission Date

March 26, 2019

Acceptance Date

August 26, 2019

Published in Issue

Year 2019 Volume: 1 Number: 2

APA
İnan, İ. E. (2019). Generalized (G’/G) - Expansion Method for Some Soliton Wave Solution of (2+1)-Dimensional Dispersive Long Wave Equation (DLWE). ALKÜ Fen Bilimleri Dergisi, 1(2), 100-109. https://izlik.org/JA66LD92BT
AMA
1.İnan İE. Generalized (G’/G) - Expansion Method for Some Soliton Wave Solution of (2+1)-Dimensional Dispersive Long Wave Equation (DLWE). ALKÜ Fen Bilimleri Dergisi. 2019;1(2):100-109. https://izlik.org/JA66LD92BT
Chicago
İnan, İbrahim Enam. 2019. “Generalized (G’ G) - Expansion Method for Some Soliton Wave Solution of (2+1)-Dimensional Dispersive Long Wave Equation (DLWE)”. ALKÜ Fen Bilimleri Dergisi 1 (2): 100-109. https://izlik.org/JA66LD92BT.
EndNote
İnan İE (August 1, 2019) Generalized (G’/G) - Expansion Method for Some Soliton Wave Solution of (2+1)-Dimensional Dispersive Long Wave Equation (DLWE). ALKÜ Fen Bilimleri Dergisi 1 2 100–109.
IEEE
[1]İ. E. İnan, “Generalized (G’/G) - Expansion Method for Some Soliton Wave Solution of (2+1)-Dimensional Dispersive Long Wave Equation (DLWE)”, ALKÜ Fen Bilimleri Dergisi, vol. 1, no. 2, pp. 100–109, Aug. 2019, [Online]. Available: https://izlik.org/JA66LD92BT
ISNAD
İnan, İbrahim Enam. “Generalized (G’ G) - Expansion Method for Some Soliton Wave Solution of (2+1)-Dimensional Dispersive Long Wave Equation (DLWE)”. ALKÜ Fen Bilimleri Dergisi 1/2 (August 1, 2019): 100-109. https://izlik.org/JA66LD92BT.
JAMA
1.İnan İE. Generalized (G’/G) - Expansion Method for Some Soliton Wave Solution of (2+1)-Dimensional Dispersive Long Wave Equation (DLWE). ALKÜ Fen Bilimleri Dergisi. 2019;1:100–109.
MLA
İnan, İbrahim Enam. “Generalized (G’ G) - Expansion Method for Some Soliton Wave Solution of (2+1)-Dimensional Dispersive Long Wave Equation (DLWE)”. ALKÜ Fen Bilimleri Dergisi, vol. 1, no. 2, Aug. 2019, pp. 100-9, https://izlik.org/JA66LD92BT.
Vancouver
1.İbrahim Enam İnan. Generalized (G’/G) - Expansion Method for Some Soliton Wave Solution of (2+1)-Dimensional Dispersive Long Wave Equation (DLWE). ALKÜ Fen Bilimleri Dergisi [Internet]. 2019 Aug. 1;1(2):100-9. Available from: https://izlik.org/JA66LD92BT