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On exact solutions of a Sobolev equation

  • Volume 101, Number 6, June, 2017
  • Published:
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Abstract

A nonlinear Sobolev-type equation that can be used to describe nonstationary processes in the semiconductor medium is studied. A number of families of exact solutions of this equation that can be expressed in terms of elementary functions and quadratures is obtained; some of these families contain arbitrary sufficiently smooth functions of one argument. The qualitative behavior of the resulting solutions is analyzed.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    A. I. Aristov

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  1. A. I. Aristov
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Correspondence to A. I. Aristov.

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Original Russian Text © A. I. Aristov, 2017, published in Matematicheskie Zametki, 2017, Vol. 101, No. 6, pp. 807–822.

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Aristov, A.I. On exact solutions of a Sobolev equation. Math Notes 101, 928–941 (2017). https://doi.org/10.1134/S0001434617050194

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  • DOI: https://doi.org/10.1134/S0001434617050194

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