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

页码：9467 / 9486

页数：20

共 35 条

[1]

[Anonymous], 1999, Modern Differential Geometry for Physicists

[2]

Bluman G. W., 1989, Symmetries and Differential Equations

[3]

CICOGNA C, 2004, INT J GEOM METHODS M, V1, P23

[4] Partial Lie-point symmetries of differential equations [J].

Cicogna, G ;

Gaeta, G .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (03) :491-512

[5]

Cicogna G., 1999, Symmetry and Perturbation Theory in Nonlinear Dynamics

[6]

CIGONA G, 2004, P I MATH NAS UKR, V50, P77

[7] On the geometry of lambda-symmetries and PDE reduction [J].

Gaeta, G ;

Morando, P .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (27) :6955-6975

[8]

Gaeta G., 1994, Nonlinear Symmetries and Nonlinear Equations

[9] New symmetry reductions for some ordinary differential equations [J].

Gandarias, ML ;

Medina, E ;

Muriel, C .

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2002, 9 (Suppl 1) :47-58

[10]

KAMRAN N, 2002, SELECTED TOPICS GEOM

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