ALL MEROMORPHIC SOLUTIONS OF AN AUXILIARY ORDINARY DIFFERENTIAL EQUATION AND ITS APPLICATIONS

作者：Yuan, Wenjun; Xiong, Weiling; Lin, Jianming^*; Wu, Yonghong

来源：Acta Mathematica Scientia, 2015, 35(5): 1241-1250.

DOI：10.1016/S0252-9602(15)30052-7

• differential equation
• exact solution
• meromorphic function
• elliptic function

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 w(r,2)(z) and simple periodic solutions w(s,1) (z) which are new and are not degenerated successively to by the elliptic function solutions.

• 出版日期2015-9
• 单位广州大学; 广州中医药大学; 广西科技大学