GROUP PROPERTIES OF UXX - UY(M)UYY = F(U)

被引：10

作者：

ARRIGO, DJ

机构：

[1] School of Mathematics, Georgia Institute of Technology, Atlanta

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 1991年 / 26卷 / 05期

关键词：

D O I：

10.1016/0020-7462(91)90014-K

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The group properties and the associated Lie algebra are developed for the named quasilinear equation, for arbitrary m and f where m is-an-element-of R, m not-equal 0, f is-an-element-of C2(R), f' not-equal 0. From the resulting information, symmetry reduction to ordinary differential equations (ODE) are obtained. Some exact solutions are constructed.

引用

页码：619 / 629

页数：11