文章基本信息

标题：The general meromorphic solutions of the Petviashvili equation
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作者：Zifeng Huang ; Wenjun Yuan ; Jinchun Lai 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：24
DOI：10.1186/1687-1847-2014-24
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we employ the complex method to first obtain all meromorphic exact solutions of complex Petviashvili equation, and then find all exact solutions of Petviashvili equation. The idea introduced in this paper can be applied to other non-linear evolution equations. Our results show that the complex method is simpler than other methods. Finally, we give some computer simulations to illustrate our main results. MSC:30D35, 34A05.
关键词：Petviashvili equation ; exact solution ; meromorphic function ; elliptic function