Wolfram Library Archive

Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings

An Automated Tanh-Function Method for Finding Solitary Wave Solutions to Non-Linear Evolution Equations

E. Parkes
B. Duffy
Journal / Anthology

Computer Physics Communications
Year: 1996
Volume: 98
Page range: 288-300

The tanh-function method for finding explicit travelling solitary wave solutions to non-linear evolution equations is described. The method is usually extremely tedious to use by hand. We present a Mathematica package ATFM that deals with the tedious algebra and outputs directly the required solutions. The use of the package is illustrated by applying it to a variety of equations; not only are previously known solutions recovered but in some cases more general forms of solution are obtained.

*Applied Mathematics > Optimization
*Mathematics > Calculus and Analysis > Differential Equations

nonlinear evolution equations, solitary waves, Mathematica