On exact solutions of a Sobolev equation

被引：0

作者：

A. I. Aristov

机构：

[1] Lomonosov Moscow State University,

来源：

Mathematical Notes | 2017年 / 101卷

关键词：

Sobolev space; nonlinear differential equation; algebraic and differential nonlinearities; blow-up of a solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：928 / 941

页数：13