Symmetries and similarity reductions of Nonlinear diffusion equation

被引：0
作者：
Li, HJ [1 ]
Ruan, HY [1 ]
机构：
[1] Ningbo Univ, Dept Phys, Ningbo 315211, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2004年 / 42卷 / 02期
关键词：
inverse of recursion operator; diffusion equation; similarity reduction;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The inverse recursion operator, three new sets of symmetries, and infinite-dimensional Lie algebras for the nonlinear diffusion equation are given. Some nonlocal symmetries related to eigenvectors of the recursion operator 4) with the eigenvalue lambda(i) are also obtained with the help of the recursion operator Phi(i) = Phi - lambda(i). Using a part of these symmetries we get twelve types of nontrivial new similarity reduction.
引用
收藏
页码：201 / 205
页数：5
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