Journal
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
Volume 77, Issue -, Pages 69-73Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2015.07.010
Keywords
Quantum semiconductor; Drift-diffusion model; Non-linear self-adjointness; Conservation laws; Exact solutions
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Funding
- Government of Russian Federation [220, 11.G34.31.0042]
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A non-linear system of partial differential equations describing a quantum drift-diffusion model for semiconductor devices is investigated by methods of group analysis. An infinite number of conservation laws associated with symmetries of the model are found. These conservation laws are used for representing the system of equations under consideration in the conservation form. Exact solutions provided by the method of conservation laws are discussed. These solutions are different from invariant solutions. (C) 2015 Published by Elsevier Ltd.
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