On exact solutions of a Sobolev equation

On exact solutions of a Sobolev equation

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 a...

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Veröffentlicht in:Mathematical Notes 2017-05, Vol.101 (5-6), p.928-941
1. Verfasser: Aristov, A. I.
Format: Artikel
Sprache:eng
Schlagworte:
2017
Exact solutions
June
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinearity
Number 6
Quadratures
Qualitative analysis
Volume 101
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Zusammenfassung: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.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434617050194