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Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations
Joint Authors
Qi, Jian-ming
Zhang, Fu
Yuan, Wen-jun
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-20
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhang, Fu& Qi, Jian-ming& Yuan, Wen-jun. 2013. Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-478458
Modern Language Association (MLA)
Zhang, Fu…[et al.]. Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations. Journal of Applied Mathematics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-478458
American Medical Association (AMA)
Zhang, Fu& Qi, Jian-ming& Yuan, Wen-jun. Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-478458
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478458