Nonclassical potential symmetries and invariant solutions of heat equation

被引：1

作者：

Qin, MC ^{[1
]}

Mei, FX

Xu, XJ

机构：

[1] Chongqing Technol & Business Univ, Sch Sci, Chongqing 400067, Peoples R China

[2] Beijing Inst Technol, Sch Sci, Beijing 100081, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2006年 / 27卷 / 02期

基金：

中国国家自然科学基金;

关键词：

nonclassical potential symmetry; heat equation; wave equation; explicit solution;

D O I：

10.1007/s10483-006-0213-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some nonclassical potential symmetry generators and group-invariant solutions of, heat equation and wave equation were determined. It is shown that some new explicit solutions of partial differential equations in conserved form can be constructed by using the nonclassical potential symmetry generators which are derived from their adjoint system. These explicit solutions cannot be obtained by using the Lie or Lie-Backlund symmetry group generators of differential equations.

引用

页码：241 / 246

页数：6

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