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• W2013093316 abstract "The Weiss–Tabor–Carnevale (WTC) Painlevé test, and its recent perturbative extension, provide necessary conditions for a partial differential equation to have the Painlevé property. It follows that Burgers’ hierarchy must pass the WTC Painlevé test. The aim here is to prove this explicitly. In addition the Bäcklund transformation for Burgers’ equation, obtained by WTC via truncation, is extended to the entire hierarchy. The recursion operator is found to be related to a simple first order system." @default.
• W2013093316 created "2016-06-24" @default.
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• W2013093316 date "1994-02-01" @default.
• W2013093316 modified "2023-09-26" @default.
• W2013093316 title "The Weiss–Tabor–Carnevale Painlevé test and Burgers’ hierarchy" @default.
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• W2013093316 doi "https://doi.org/10.1063/1.530615" @default.
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