Two different reduction approaches are outlined in order to obtain exact wave-like solutions of a quasilinear parabolic second order equation in one space variable, which is of wide use in diverse physical applications. Both methods provide a mathematical vehicle for defining appropriate model forms of the material response functions involved in the governing equation and which permit to solve classes of initial value problems.
Reduction approaches for a quasilinear nonautonomous diffusion equation
FUSCO, Domenico;MANGANARO, Natale
2004-01-01
Abstract
Two different reduction approaches are outlined in order to obtain exact wave-like solutions of a quasilinear parabolic second order equation in one space variable, which is of wide use in diverse physical applications. Both methods provide a mathematical vehicle for defining appropriate model forms of the material response functions involved in the governing equation and which permit to solve classes of initial value problems.File in questo prodotto:
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