Lie symmetries of a Painleve-type equation without Lie symmetries

被引:28
作者
Nucci, M. C. [1 ]
机构
[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy
关键词
D O I
10.2991/jnmp.2008.15.2.7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We use a method inspired by the Jacobi last multiplier [M. C. Nucci, Jacobi last multiplier and Lie symmetries: a novel application of an old relationship, J. Nonlinear Math. Phys. 12, 284-304 (2005)] in order to find Lie symmetries of a Painleve-type equation without Lie point symmetries.
引用
收藏
页码:205 / 211
页数:7
相关论文
共 32 条
[1]  
[Anonymous], DIFFERENTIALGLEICHUN
[2]  
[Anonymous], 1886, VORLESUNGEN DYNAMIK
[3]  
[Anonymous], 1844, J REINE ANGEW MATH
[4]  
Bianchi L., 1918, LEZIONI TEORIA GRUPP
[5]   On the relation between standard and μ-symmetries for PDEs [J].
Cicogna, G ;
Gaeta, G ;
Morando, P .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (40) :9467-9486
[6]   Application of Lie group analysis to a core group model for sexually transmitted diseases [J].
Edwards, M. ;
Nucci, M. C. .
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2006, 13 (02) :211-U11
[7]   Nonlocal aspects of λ-symmetries and ODEs reduction [J].
Ferraioli, D. Catalano .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (21) :5479-5489
[8]   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
[9]  
Gonzalez Lopez A., 1988, Journal of Mathematical Physics, V29, P1097, DOI 10.1063/1.527948
[10]   Hidden linearity in systems for competition with evolution in ecology and finance [J].
Gradassi, A. ;
Nucci, M. C. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 333 (01) :274-294