The nonlinear diffusion and thermal conductivity equation: group classification and exact solutions (Q1417158)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The nonlinear diffusion and thermal conductivity equation: group classification and exact solutions |
scientific article; zbMATH DE number 2020065
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The nonlinear diffusion and thermal conductivity equation: group classification and exact solutions |
scientific article; zbMATH DE number 2020065 |
Statements
The nonlinear diffusion and thermal conductivity equation: group classification and exact solutions (English)
0 references
2003
0 references
For the nonlinear equation \(u_t=(u^\alpha u_x)_x+F(u)\), \(0\not =\alpha\in \mathbb R,\) describing processes of nonlinear diffusion and thermal conductivity the authors present group classification with respect to contact transformations. The resulting Lie algebra allows to determine some exact solutions.
0 references
contact transformations
0 references
