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An Automated Tanh-Function Method for Finding Solitary Wave Solutions to Non-Linear Evolution Equations
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| Computer Physics Communications |
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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.
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nonlinear evolution equations, solitary waves, Mathematica
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