Acta mathematica scientia, Series B >
ALL MEROMORPHIC SOLUTIONS OF AN AUXILIARY ORDINARY DIFFERENTIAL EQUATION AND ITS APPLICATIONS
Received date: 2012-12-02
Revised date: 2015-03-02
Online published: 2015-09-01
Supported by
The first author is supported by the NSFC (11271090) and NSF of Guangdong (S2012010010121).
In this paper, we first employ the complex method to deritive all meromorphic solutions of an auxiliary ordinary differential equation, and then find all meromorphic exact solutions of the modified ZK equation, modified KdV equation, nonlinear Klein-Gordon equation and modified BBM equation. Our work shows that there exist some classes of rational solutions wr,2(z) and simple periodic solutions ws,1(z) which are new and are not degenerated successively to by the elliptic function solutions.
Wenjun YUAN , Weiling XIONG , Jianming LIN , Yonghong WU . ALL MEROMORPHIC SOLUTIONS OF AN AUXILIARY ORDINARY DIFFERENTIAL EQUATION AND ITS APPLICATIONS[J]. Acta mathematica scientia, Series B, 2015 , 35(5) : 1241 -1250 . DOI: 10.1016/S0252-9602(15)30052-7
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