Nonlocal symmetries and nonlocal recursion operators

被引：2

作者：

Chen, YF

Zhang, HQ

机构：

[1] Chinese Academia, Inst Syst Sci, Beijing 100080, Peoples R China

[2] Dalian Univ Technol, Inst Math, Dalian 116024, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2001年 / 21卷 / 01期

关键词：

differential equations; nonlocal symmetries; recursion operators;

D O I：

10.1016/S0252-9602(17)30582-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An expose about covering method on differential equations was given. The general formulae to determine nonlocal symmetries were derived which are analogous to the prolongation formulae of generalized symmetries. In addition., a new definition of nonlocal recursion operators was proposed, which gave a satisfactory explaination in covering theory for the integro-differential recursion operators.

引用

页码：103 / 108

页数：6

共 12 条

[1] Nonlocal symmetries and nonlocal conservation laws of Maxwell's equations
Anco, SC
Bluman, G
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (07) : 3508 - 3532
[2] [Anonymous], 1994, GEOMETRY PARTIAL DIF, DOI DOI 10.1142/9789814354394_0008
[3] Bluman G. W., 1989, Symmetries and Differential Equations
[4] FOKAS AS, 1987, STUD APPL MATH, V77, P253
[5] NONLOCAL SYMMETRIES OF THE KDV EQUATION
GUTHRIE, GA
HICKMAN, MS
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (01) : 193 - 205
[6] RECURSION OPERATORS AND NONLOCAL SYMMETRIES
GUTHRIE, GA
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1994, 446 (1926): : 107 - 114
[7] KHORKOVA NG, 1988, MAT ZAMETKI, V44, P134
[8] Krasilshchik I. S., 1986, Geometry of Jet Spaces and Nonlinear Partial Differential Equations
[9] NONLOCAL SYMMETRIES AND THE THEORY OF COVERINGS - AN ADDENDUM TO VINOGRADOV,A.M. LOCAL SYMMETRIES AND CONSERVATION-LAWS
KRASILSHCHIK, IS
VINOGRADOV, AM
[J]. ACTA APPLICANDAE MATHEMATICAE, 1984, 2 (01) : 79 - 96
[10] EVOLUTION EQUATIONS POSSESSING INFINITELY MANY SYMMETRIES
OLVER, PJ
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (06) : 1212 - 1215

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