TY - JOUR
T1 - RAEEM
T2 - A Maple package for finding a series of exact traveling wave solutions for nonlinear evolution equations
AU - Li, Zhi Bin
AU - Liu, Yin Ping
PY - 2004/11/15
Y1 - 2004/11/15
N2 - 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.
AB - 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.
KW - Dependent variable
KW - Independent variable
KW - Nonlinear evolution equations
KW - Traveling wave solutions
UR - https://www.scopus.com/pages/publications/7544232193
U2 - 10.1016/j.cpc.2004.08.007
DO - 10.1016/j.cpc.2004.08.007
M3 - 文章
AN - SCOPUS:7544232193
SN - 0010-4655
VL - 163
SP - 191
EP - 201
JO - Computer Physics Communications
JF - Computer Physics Communications
IS - 3
ER -