Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2013 (2013), Article ID 523732, 6 pages.
Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations
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 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.
J. Appl. Math., Volume 2013 (2013), Article ID 523732, 6 pages.
First available in Project Euclid: 14 March 2014
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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