An Automated Jacobi Elliptic Function Method for Finding Periodic Wave Solutions to Nonlinear Evolution Equations

Chin. Phys. Lett.

2002, Vol. 19

Issue (9): 1228-1230 DOI:

Original Articles

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

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LIU Yin-Ping, LI Zhi-Bin 2002 Chin. Phys. Lett. 19 1228-1230

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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.

Keywords: 03.40.Kf 04.30.Nk 02.90.+p 03.65.Fd

Published: 01 September 2002

PACS:	03.40.Kf
	04.30.Nk	(Wave propagation and interactions)
	02.90.+p	(Other topics in mathematical methods in physics)
	03.65.Fd	(Algebraic methods)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2002/V19/I9/01228

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