Traveling pro les solutions to heat equation with a power-law nonlinearity
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Date
2015-05-14
Journal Title
Journal ISSN
Volume Title
Publisher
Université de M'sila
Abstract
We propose in this work a new approach to obtain a general form of
self similar solutions to heat equation with a power-law nonlinearity. We use the
”traveling profiles method”. This method is inspired of the traveling wavelets method
which belongs to the category of the particular methods. The traveling profiles method
enables us to obtain many explicit exact solutions to this equation.
Description
Keywords
Heat equation with a power-law nonlinearity; Traveling profiles method.