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Symmetry analysis and exact invariant solutions for a class of energy-transport models of semiconductors. (English) Zbl 0994.82101

Summary: The symmetry classification of a class of energy-transport models for semiconductors is performed. Reduced systems and examples of exact invariant solutions are shown.

MSC:

82D37 Statistical mechanics of semiconductors
34C60 Qualitative investigation and simulation of ordinary differential equation models
35A30 Geometric theory, characteristics, transformations in context of PDEs
35Q60 PDEs in connection with optics and electromagnetic theory
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