Application of weak equivalence transformations to a group analysis of a drift-diffusion model. (English) Zbl 0947.35009

The authors performed a group analysis of a class of drift-diffusion systems. The concept of weak equivalence transformations is re-called, and an infinitesimal method to obtain them is illustrated. The authors obtained Lie symmetries by projection of the weak equivalence transformations for the number of drift-diffusion systems. Some applications to the drift-diffusion systems for semiconductors are presented.


35A22 Transform methods (e.g., integral transforms) applied to PDEs
58J70 Invariance and symmetry properties for PDEs on manifolds
35A30 Geometric theory, characteristics, transformations in context of PDEs
Full Text: DOI Link