On approximate symmetries of a wave equation with quadratic nonlinearity (Q1591095)

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scientific article; zbMATH DE number 1545880
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On approximate symmetries of a wave equation with quadratic nonlinearity
scientific article; zbMATH DE number 1545880

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    On approximate symmetries of a wave equation with quadratic nonlinearity (English)
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    19 December 2000
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    Summary: Two different approximate symmetry methods and a proposed new one are contrasted using a wave equation with quadratic nonlinearity. For each method, the approximate symmetries are calculated first. Then approximate solutions corresponding to some of the symmetries are calculated. It is found that a given specific approximate solution is attainable only by using the new proposed method.
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    approximate symmetry methods
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