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

Romano, Vittorio; Torrisi, Mariano

J. Phys. A, Math. Gen. 32, No. 45, 7953-7963 (1999).

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.

Reviewer: Samir Musayev (Baku)

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

Keywords:

infinitesimal method; drift-diffusion systems for semiconductors