A new Riccati equation rational expansion method and its application

被引：0
|
作者：
Chen, Y [1 ]
Wang, Q
机构：
[1] Ningbo Univ, Dept Math, Ctr Nonlinear Sci, Ningbo 315211, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China
[3] Chinese Acad Sci, Beijing 100080, Peoples R China
[4] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2005年 / 60卷 / 1-2期
关键词：
travelling wave solution; Riccati equation rational expansion method; rational form solitary wave solutions;
D O I：
暂无
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
A Riccati equation rational expansion (RERE) method is presented by a general ansatz, which is a direct and unified algebraic method for constructing multiple and more general travelling wave solutions of nonlinear partial differential equations. It can be implemented in a computer algebraic system. The proposed method is applied to consider the shallow long wave approximation equation and leads to a rich variety of exact solutions, including rational form solitary wave solutions, triangular periodic wave solutions and rational wave solutions.
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页码：1 / 6
页数：6
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