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- W2015483923 abstract "In this paper we consider some of the analytic properties of the generalized Korteweg-de Vries equation ut + upux + uxxx = 0. We study the Lie group symmetries of the equation and show that for p > 2 there is a three parameter group and if p = 1 or 2 the group has four parameters. The Painlevé property is shown to be not satisfied when p > 2. The variational symmetries are also considered and are shown to lead to the only three known conservation laws for general p." @default.
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- W2015483923 date "1994-03-01" @default.
- W2015483923 modified "2023-09-23" @default.
- W2015483923 title "Painlevé property and group symmetries of the generalized Korteweg-de Vries equation" @default.
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- W2015483923 doi "https://doi.org/10.1088/0031-8949/49/3/002" @default.
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