Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Explicit Solutions of Nonlinear Equations with Density Dependent Diffusion
Junkichi Satsuma
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1987 Volume 56 Issue 6 Pages 1947-1950

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Abstract

Explicit solutions are obtained for several nonlinear equations with density dependent diffusion by employing the Painlevé analysis. Included are equilibrium solutions, travelling wave solutions and other time-dependent solutions. Properties of these solutions are also briefly discussed.

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