On exact solutions of a nonclassical partial differential equation

被引：4

作者：

Aristov, A. I. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119991, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2015年 / 55卷 / 11期

关键词：

nonlinear partial differential equations; exact solutions; solution blowup;

D O I：

10.1134/S0965542515110044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a nonclassical nonlinear partial differential equation, several classes of solutions expressed in terms of elementary and special functions are constructed. Moreover, solutions of one of the classes contain an arbitrary sufficiently smooth function of a single argument. It is shown that, among these solutions, there are ones going to infinity in a finite time (blowing up) and ones that are bounded on any finite time interval.

引用

页码：1836 / 1841

页数：6

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