An Automated Jacobi Elliptic Function Method for Finding Periodic Wave Solutions to Nonlinear Evolution Equations
LIU Yin-Ping, LI Zhi-Bin
Department of Computer Science, East China Normal University,
Shanghai 200062
An Automated Jacobi Elliptic Function Method for Finding Periodic Wave Solutions to Nonlinear Evolution Equations
LIU Yin-Ping;LI Zhi-Bin
Department of Computer Science, East China Normal University,
Shanghai 200062
关键词 ：
03.40.Kf ,
04.30.Nk ,
02.90.+p ,
03.65.Fd
Abstract ： We describe the Jacobi elliptic function method for finding exact periodic wave solutions to nonlinear evolution equations. We present a Maple packaged automated Jacobi elliptic function method which can entirely automatically output the exact periodic wave solutions. The effectiveness of the automated Jacobi elliptic function method is demonstrated using as examples the applications to a variety of equations with physical interest. Not only are the previously known solutions recovered but in some cases new solutions and more general form of solutions are obtained.
Key words ：
03.40.Kf
04.30.Nk
02.90.+p
03.65.Fd
出版日期: 2002-09-01
引用本文:
LIU Yin-Ping;LI Zhi-Bin. An Automated Jacobi Elliptic Function Method for Finding Periodic Wave Solutions to Nonlinear Evolution Equations[J]. 中国物理快报, 2002, 19(9): 1228-1230.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2002/V19/I9/1228
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2002, Vol. 19 
