On the relation between standard and μ-symmetries for PDEs

被引：39
作者：
Cicogna, G
Gaeta, G
Morando, P
机构：
[1] Univ Pisa, Dipartimento Fis E Fermi, I-56127 Pisa, Italy
[2] Ist Nazl Fis Nucl, Sez Pisa, I-56127 Pisa, Italy
[3] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy
[4] Politecn Torino, Dipartimento Matemat, I-01129 Turin, Italy
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 40期
关键词：
D O I：
10.1088/0305-4470/37/40/010
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We give a geometrical interpretation of the notion of mu-prolongations of vector fields and of the related concept of mu-symmetry for partial differential equations (extending to PDEs the notion of lambda-symmetry for ODEs). We give in particular a result concerning the relationship between mu-symmetries and standard exact symmetries. The notion is also extended to the case of conditional and partial symmetries, and we analyse the relation between local mu-symmetries and nonlocal standard symmetries.
引用
收藏
页码：9467 / 9486
页数：20
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