APPLICATION OF WEAK EQUIVALENCE TRANSFORMATIONS TO A GROUP ANALYSIS OF A DRIFT-DIFFUSION MODEL

@article{Romano1999APPLICATIONOW,
  title={APPLICATION OF WEAK EQUIVALENCE TRANSFORMATIONS TO A GROUP ANALYSIS OF A DRIFT-DIFFUSION MODEL},
  author={Vittorio Romano and Mariano Torrisi},
  journal={Journal of Physics A},
  year={1999},
  volume={32},
  pages={7953-7963}
}
A group analysis of a class of drift-diffusion systems is performed. In account of the presence of arbitrary constitutive functions, we look for Lie symmetries starting from the weak equivalence transformations. Applications to the transport of charges in semiconductors are presented and a special class of solutions is given for particular doping profiles. 

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