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

Cilt: 1 Sayı: 2 30 Ağustos 2019
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Generalized (G'/G) - Expansion Method for Some Soliton Wave Solution of (2+1)-Dimensional Dispersive Long Wave Equation (DLWE)

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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.

Anahtar Kelimeler

Kaynakça

  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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Ağustos 2019

Gönderilme Tarihi

26 Mart 2019

Kabul Tarihi

26 Ağustos 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 1 Sayı: 2

Kaynak Göster

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 (01 Ağustos 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, c. 1, sy 2, ss. 100–109, Ağu. 2019, [çevrimiçi]. Erişim adresi: 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 (01 Ağustos 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, c. 1, sy 2, Ağustos 2019, ss. 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]. 01 Ağustos 2019;1(2):100-9. Erişim adresi: https://izlik.org/JA66LD92BT