Symbolic Computation of Local Symmetries of Nonlinear and Linear Partial and Ordinary Differential Equations

被引：40
|
作者：
Cheviakov A.F. [1 ]
机构：
[1] Department of Mathematics and Statistics, University of Saskatchewan
来源：
Mathematics in Computer Science | 2010年 / 4卷 / 2-3期
关键词：
Point Symmetry; Local Symmetry; Symbolic Computation; Equivalence Transformation; Determine Equation;
D O I：
10.1007/s11786-010-0051-4
中图分类号：
学科分类号：
摘要：
The paper illustrates the use of a symbolic software package GeM for Maple to compute local symmetries of nonlinear and linear differential equations (DEs). In the cases when a given DE system contains arbitrary functions or parameters, symbolic symmetry classification is performed. Special attention is devoted to the computation of point symmetries of linear PDE systems. Routines are available that effectively eliminate infinite obvious symmetries of linear DEs. © 2010 Springer Basel AG.
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页码：203 / 222
页数：19
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