Title | ||
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RAEEM: A Maple package for finding a series of exact traveling wave solutions for nonlinear evolution equations |
Abstract | ||
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In Maple 8, by taking advantage of the package RIF contained in DEtools, we developed a package RAEEM which is a comprehensive and complete implementation of such methods as the tanh-method, the extended tanh-method, the Jacobi elliptic function method and the elliptic equation method. RAEEM can entirely automatically output a series of exact traveling wave solutions, including those of polynomial, exponential, triangular, hyperbolic, rational, Jacobi elliptic, Weierstrass elliptic type. The effectiveness of the package is illustrated by applying it to a large variety of equations. In addition to recovering previously known solutions, we also obtain more general forms of some solutions and new solutions. |
Year | DOI | Venue |
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2004 | 10.1016/j.cpc.2004.08.007 | Computer Physics Communications |
Keywords | Field | DocType |
03.40.Kf,04.30.Nk,02.90.+p,03.65.Fd | Elliptic rational functions,Jacobi elliptic functions,Elliptic function,Mathematical optimization,Nonlinear system,Elliptic integral,Polynomial,Mathematical analysis,Elliptic curve point multiplication,Cnoidal wave,Mathematics | Journal |
Volume | Issue | ISSN |
163 | 3 | 0010-4655 |
Citations | PageRank | References |
8 | 3.51 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Zhibin Li | 1 | 115 | 23.77 |
Yinping Liu | 2 | 24 | 9.15 |