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Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method

Cilt: 6 Sayı: 1 28 Haziran 2018
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Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method

Öz

In this study, the Drinfeld-Sokolov system is solved by the application of the improved Bernoulli sub-equation function method (IBSEFM). We have found new solutions different from the others articles in the literature. In addition, we carried all the computations out and the graphics plot in this article by software Wolfram Mathematica 9.

Anahtar Kelimeler

Kaynakça

  1. [1] Goktas U., Hereman W. Symbolic computation of conserved densities for systems of nonlinear evolution equations. Journal of Symbolic Computation. 24:5, 591-621, 1997. [2] Olver P.J. Applications of Lie Groups to Differential Equations, vol. 107 of Graduate Texts in Mathematics, Springer, New York, USA, 2nd edition. 1993. [3] Wang J.P. A list of 1 + 1 dimensional integrable equations and their properties. Journal of Nonlinear Mathematical Physics, 9:1, 213-233, 2002. [4] Baskonus H.M., Bulut H. On the complex structures of Kundu-Eckhaus equation via improved Bernoulli sub-equation function method, Waves in Randomand Complex Media. 25(4) 720-728. 2015 [5] Wazwaz A.M. Exact and explicit travelling wave solutions for the nonlinear Drinfeld-Sokolov system. Communications in Nonlinear Science and Numerical Simulation. 11:3, 311-325, 2006. [6] El-Wakil S.A. Abdou M.A. Modified extended tanhfunction method for solving nonlinear partial differential equations. Chaos, Solitons Fractals, 31:5, 1256-1264, 2007. [7] Zhang F., Qi J., Yuan W. Modified extended tanhfunction method for solving nonlinear partial differential equations,” Journal of Applied Mathematics, 2013:2013. [8] Zheng B. A new Bernoulli sub-ODE method for constructing traveling wave solutions for two nonlinear equations with any order, U. P. B. Sci. Bull., Series A. 73:3, 2011. [9] Zheng B. Application of A Generalized Bernoulli Sub-ODE Method For Finding Traveling Solutions of Some Nonlinear Equations, WSEAS Transactions on Mathematics, 7:11, 618-626, 2012. [10] Baskonus H.M. Koc D.A. Bulut H. New travelling wave prototypes to the nonlinear Zakharov-Kuznetsov equation with power law nonlinearity, Nonlinear Sci. Lett. A, 7:2, 67-76, 2016.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

28 Haziran 2018

Gönderilme Tarihi

8 Mart 2018

Kabul Tarihi

11 Nisan 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 6 Sayı: 1

Kaynak Göster

APA
Düşünceli, F. (2018). Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method. Mus Alparslan University Journal of Science, 6(1), 505-510. https://izlik.org/JA58PW96MU
AMA
1.Düşünceli F. Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method. MAUN Fen Bil. Dergi. 2018;6(1):505-510. https://izlik.org/JA58PW96MU
Chicago
Düşünceli, Faruk. 2018. “Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method”. Mus Alparslan University Journal of Science 6 (1): 505-10. https://izlik.org/JA58PW96MU.
EndNote
Düşünceli F (01 Haziran 2018) Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method. Mus Alparslan University Journal of Science 6 1 505–510.
IEEE
[1]F. Düşünceli, “Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method”, MAUN Fen Bil. Dergi., c. 6, sy 1, ss. 505–510, Haz. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA58PW96MU
ISNAD
Düşünceli, Faruk. “Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method”. Mus Alparslan University Journal of Science 6/1 (01 Haziran 2018): 505-510. https://izlik.org/JA58PW96MU.
JAMA
1.Düşünceli F. Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method. MAUN Fen Bil. Dergi. 2018;6:505–510.
MLA
Düşünceli, Faruk. “Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method”. Mus Alparslan University Journal of Science, c. 6, sy 1, Haziran 2018, ss. 505-10, https://izlik.org/JA58PW96MU.
Vancouver
1.Faruk Düşünceli. Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method. MAUN Fen Bil. Dergi. [Internet]. 01 Haziran 2018;6(1):505-10. Erişim adresi: https://izlik.org/JA58PW96MU