Yusuf c PANDIR, Yusuf GUREFE, Tolga AKTURK

Special issue of the 2nd International Conference on Computational Mathematicsand Engineering Sciences (CMES2017)

ISSN: 2146-0957
Yayın Aralığı: 4
Yayıncı: Prof. Dr. Ramazan YAMAN

This paper applies a new approach including the trial equationbased on the exponential function in order to find new traveling wave solutionsto Zhiber-Shabat equation. By the using of this method, we obtain a new ellipticintegral function solution. Also, this solution can be converted into Jacobi ellipticfunctions solution by a simple transformation .

PDF

___

[1] Liu, C. S. (2005). Trial equation method and its applications to nonlinear evolution equations, Acta. Phys. Sin. 54, 2505-2509.
[2] Pandir, Y., Gurefe, Y., Kadak, U., & Misirli, E., (2012).Classification of exact solutions for some nonlinear partial differential equations with generalized evolution, Abstr. Appl. Anal. 2012, pp. 16
[3] Shen, G., Sun, Y., & Xiong, Y., (2013). New travelling-wave solutions for Dodd-Bullough equation, J. Appl. Math. 2013, pp. 5
[4] Sun, Y., (2014).New travelling wave solutions for Sine-Gordon equation, J. Appl. Math. 2014, pp. 4
[5] Bulut, H., Akturk, T., & Gurefe, Y., (2014).Travelling wave solutions of the (N+1)- dimensional sine-cosine-Gordon equation, AIP Conf. Proc. pp. 5
[6] Kudryashov, N. A., (2012).One method for finding exact solutions of nonlinear differential equations, Commun. Nonl. Sci. Numer. Simul. 17, 2248-2253
[7] Tang, Y., Xu, W., Shen, J., & Gao, L., (2007).Bifurcations of traveling wave solutions for Zhiber–Shabat equation, Nonlinear Analy.. 67, 648- 656
[8] Chen, Huang, W., & Li, J., (2009).Qualitative behavior and exact travelling wave solutions of the Zhiber_Shabat equation, J. Comp. and Appl. Mat. 230, 559-569