Research Article

Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method

Volume: 6 Number: 1 June 28, 2018
TR EN

Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method

Abstract

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.

Keywords

References

  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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

June 28, 2018

Submission Date

March 8, 2018

Acceptance Date

April 11, 2018

Published in Issue

Year 2018 Volume: 6 Number: 1

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. Mus Alparslan University Journal of Science. 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 (June 1, 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”, Mus Alparslan University Journal of Science, vol. 6, no. 1, pp. 505–510, June 2018, [Online]. Available: 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 (June 1, 2018): 505-510. https://izlik.org/JA58PW96MU.
JAMA
1.Düşünceli F. Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method. Mus Alparslan University Journal of Science. 2018;6:505–510.
MLA
Düşünceli, Faruk. “Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method”. Mus Alparslan University Journal of Science, vol. 6, no. 1, June 2018, pp. 505-10, https://izlik.org/JA58PW96MU.
Vancouver
1.Faruk Düşünceli. Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method. Mus Alparslan University Journal of Science [Internet]. 2018 Jun. 1;6(1):505-10. Available from: https://izlik.org/JA58PW96MU