Email this article Exact Solutions of a Nonclassical Equation with a Nonlinearity under the Laplacian
- Authors: Aristov A.I.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 55, No 10 (2019)
- Pages: 1317-1327
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/155166
- DOI: https://doi.org/10.1134/S0012266119100070
- ID: 155166
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Abstract
We study a nonlinear partial differential equation that models processes occurring in a semiconductor medium. Six classes of exact solutions of this equation expressed via elementary and special functions are obtained. The qualitative behavior of these solutions is analyzed. We show that some of them are bounded and some of them “blow up” (become infinite in finite time).
About the authors
A. I. Aristov
Lomonosov Moscow State University
Author for correspondence.
Email: ai_aristov@mail.ru
Russian Federation, Moscow, 119991
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