Journal of Applied Mathematics

Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations

Fu Zhang, Jian-ming Qi, and Wen-jun Yuan

Full-text: Open access

Abstract

We employ the complex method to obtain all meromorphic exact solutions of complex Drinfeld-Sokolov equations (DS system of equations). The idea introduced in this paper can be applied to other nonlinear evolution equations. Our results show that all constant and simply periodic traveling wave exact solutions of the equations (DS) are solitary wave solutions, the complex method is simpler than other methods and there exist simply periodic solutions vs,3(z) which are not only new but also not degenerated successively by the elliptic function solutions. We believe that this method should play an important role for finding exact solutions in the mathematical physics. For these new traveling wave solutions, we give some computer simulations to illustrate our main results.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 523732, 6 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394808165

Digital Object Identifier
doi:10.1155/2013/523732

Mathematical Reviews number (MathSciNet)
MR3122105

Zentralblatt MATH identifier
06950728

Citation

Zhang, Fu; Qi, Jian-ming; Yuan, Wen-jun. Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations. J. Appl. Math. 2013 (2013), Article ID 523732, 6 pages. doi:10.1155/2013/523732. https://projecteuclid.org/euclid.jam/1394808165


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