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Painlevé test and exact similarity solutions of a class of nonlinear diffusion equations (1992)

Glöckle, W. G. ; Baumann, G. ; Nonnenmacher, T. F.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 33 (1992), S. 2456-2463

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.529615

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