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An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations. (English) Zbl 0948.76595
Summery: 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.

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76B25 Solitary waves for incompressible inviscid fluids
Software:
Mathematica
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