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An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations - MaRDI portal

An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations (Q1294661)

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scientific article; zbMATH DE number 1313070
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An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
scientific article; zbMATH DE number 1313070

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    An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations (English)
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    2 May 2000
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    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.
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    nonlinear evolution equations
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    solitary waves
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    Mathematica
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