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• W2012045862 abstract "For (1+1)-dimensional diffusion equations where the diffusion coefficient is an arbitrary power of the dependent variable, a Painlevé test is performed on both the partial differential equation and the similarity reductions. The invariance of the Painlevé property under a large class of similarity reductions is shown. For the reductions with the Painlevé property, the explicit similarity solutions are given. It is demonstrated how results of a Painlevé analysis can be used to obtain further exact similarity solutions, even in cases without the Painlevé property." @default.
• W2012045862 created "2016-06-24" @default.
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• W2012045862 date "1992-07-01" @default.
• W2012045862 modified "2023-09-24" @default.
• W2012045862 title "Painlevé test and exact similarity solutions of a class of nonlinear diffusion equations" @default.
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• W2012045862 doi "https://doi.org/10.1063/1.529615" @default.
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