EXACT MULTIDIMENSIONAL SOLUTIONS TO SOME NONLINEAR DIFFUSION EQUATIONS

1 August 1993

journal article
research article
Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics

Vol. 46 (3) , 419-436
https://doi.org/10.1093/qjmam/46.3.419

Abstract

New exact solutions are constructed for some multidimensional nonlinear diffusion equations. Expressed in terms of the appropriate dependent variable, the solutions are polynomials in the spatial (Cartesian) coordinates. They are not in general similarity solutions.

Keywords

MULTIDIMENSIONAL SOLUTIONS
POLYNOMIALS
COORDINATES
CARTESIAN
DIFFUSION EQUATIONS NEW
NONLINEAR DIFFUSION EQUATIONS

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