RAEEM: A Maple package for finding a series of exact traveling wave solutions for nonlinear evolution equations

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)191-201
Number of pages11
JournalComputer Physics Communications
Volume163
Issue number3
DOIs
StatePublished - 15 Nov 2004

Keywords

  • Dependent variable
  • Independent variable
  • Nonlinear evolution equations
  • Traveling wave solutions

Fingerprint

Dive into the research topics of 'RAEEM: A Maple package for finding a series of exact traveling wave solutions for nonlinear evolution equations'. Together they form a unique fingerprint.

Cite this