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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.

MSC:

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
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