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Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method

Cilt: 11 Sayı: 1 1 Mart 2021
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Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method

Öz

In this article, the generalized Kudryashov method which provides the exact solutions is examined. It is possible to obtain new exact solutions of the nonlinear differential equations with this method. By implementing this developed method to the two-dimensional KdV-Burger equation, new exact solutions of this equation are found. This new exact solutions are the solutions that are not in the literature. In addition, two and three-dimensional graphics of these new exact solutions have been drawn and their physical behavior has been demonstrated.

Anahtar Kelimeler

Kaynakça

  1. Akbar MA, Ali NHM, Mohyud-Din ST, 2013. The modified alternative -expansion method to nonlinear evolution equation: application to the (1+1)-dimensional Drinfel’d-Sokolov-Wilson equation. SpringerPlus 327:2-16.
  2. Demiray ST, Pandir Y, Bulut H, 2015. New solitary wave solutions of Maccari system. Ocean Engineering 103:153-159.
  3. Demiray ST, Pandir Y, Bulut H, 2015. New soliton solutions for Sasa-Satsuma equation. Waves in Random Complex Media 25(3): 417-418.
  4. Fu Z, Liu S, Liu S, Zhao Q, 2001. New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations. Physics Letters A 290: 72-76.
  5. Guo S, Zhou Y, 2010. The extended -expansion method and its applications to the Whitham-Broer-Kaup-Like equations and coupled Hirota–Satsuma KdV equations. Applied Mathematics and Computation 215: 3214-3221.
  6. Gurefe Y, Sonmezoglu A, Misirli E, 2011. Application of trial equation method to the nonlinear partial differential equations arising in mathematical physics. Pramana Journal of Physics 77(6): 1023-1029.
  7. Gurefe Y, Sonmezoglu A, Misirli E, 2012. Application of an irrational trial equation method to high dimensional nonlinear evolution equations. Journal of Advanced Mathematical Studies 5(1): 41-47.
  8. Gurefe, Y, Misirli E, Sonmezoglu A, Ekici M, 2013. Extended trial equation method to generalized nonlinear partial differential equations. Applied Mathematics Computation 219(10): 5253-5260.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

1 Mart 2021

Gönderilme Tarihi

2 Nisan 2020

Kabul Tarihi

27 Ekim 2020

Yayımlandığı Sayı

Yıl 2021 Cilt: 11 Sayı: 1

Kaynak Göster

APA
Pandır, Y., & Eren, S. (2021). Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method. Journal of the Institute of Science and Technology, 11(1), 617-624. https://doi.org/10.21597/jist.713556
AMA
1.Pandır Y, Eren S. Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method. Iğdır Üniv. Fen Bil Enst. Der. 2021;11(1):617-624. doi:10.21597/jist.713556
Chicago
Pandır, Yusuf, ve Sahragül Eren. 2021. “Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method”. Journal of the Institute of Science and Technology 11 (1): 617-24. https://doi.org/10.21597/jist.713556.
EndNote
Pandır Y, Eren S (01 Mart 2021) Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method. Journal of the Institute of Science and Technology 11 1 617–624.
IEEE
[1]Y. Pandır ve S. Eren, “Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method”, Iğdır Üniv. Fen Bil Enst. Der., c. 11, sy 1, ss. 617–624, Mar. 2021, doi: 10.21597/jist.713556.
ISNAD
Pandır, Yusuf - Eren, Sahragül. “Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method”. Journal of the Institute of Science and Technology 11/1 (01 Mart 2021): 617-624. https://doi.org/10.21597/jist.713556.
JAMA
1.Pandır Y, Eren S. Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method. Iğdır Üniv. Fen Bil Enst. Der. 2021;11:617–624.
MLA
Pandır, Yusuf, ve Sahragül Eren. “Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method”. Journal of the Institute of Science and Technology, c. 11, sy 1, Mart 2021, ss. 617-24, doi:10.21597/jist.713556.
Vancouver
1.Yusuf Pandır, Sahragül Eren. Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method. Iğdır Üniv. Fen Bil Enst. Der. 01 Mart 2021;11(1):617-24. doi:10.21597/jist.713556

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