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Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations
Author(s) -
Fu Zhang,
Jianming Qi,
Wenjun Yuan
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/523732
Subject(s) - function (biology) , algorithm , traveling wave , meromorphic function , computer science , mathematics , mathematical analysis , evolutionary biology , biology
We employ the complex method to obtain allmeromorphic 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

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