Solution of nonlinear partial differential equations by the geometric method

被引：0

作者：

Rubina, L. I. ^{[1
]}

Ulyanov, O. N. ^{[2
]}

机构：

[1] Russian Acad Sci, Inst Math & Mech, Ural Branch, Moscow, Russia

[2] Ural Federal Univ, Russian Acad Sci, Inst Math & Mech, Ural Branch, Ekaterinburg, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2012年 / 18卷 / 02期

关键词：

nonlinear partial differential equations; heat equation; equation for the flow function in a boundary layer; exact solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The earlier proposed geometric method of investigation of nonlinear partial differential equations is developed. The heat equation describing blow-up regimes and the equation for the flow function in a boundary layer are studied. We propose a modification of the method based on the specific character of the equations and show its applicability in the case under consideration. Classes of particular exact solutions are found and a boundary value problem is solved.

引用

页码：265 / 280

页数：16