On a group of automorphisms of the noncommutative Burgers hierarchy

被引:10
作者
Kupershmidt, BA [1 ]
机构
[1] Univ Tennessee, Inst Space, Tullahoma, TN 37388 USA
关键词
D O I
10.2991/jnmp.2005.12.4.8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Backlund transformations are constructed for the noncommutative Burgers hierarchy, generalizing the commutative ones of Weiss, Tabor, Carnevale, and Pickering. These transformations are shown to be invertible and form a group.
引用
收藏
页码:539 / 549
页数:11
相关论文
共 9 条
[1]   POLE EXPANSIONS OF NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS [J].
CHOODNOVSKY, DV ;
CHOODNOVSKY, GV .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1977, 40 (02) :339-353
[2]  
FOKAS AS, 1979, THESIS CALTECH
[3]  
Kupershmidt B. A., 1995, NONLINEAR EVOLUTION, P84
[4]   Dark equations [J].
Kupershmidt, BA .
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2001, 8 (03) :363-445
[5]  
KUPERSHMIDT BA, 2000, NONCOMMUTATIVE MATH
[6]   CONTINUOUS AND DISCRETE MATRIX BURGERS HIERARCHIES [J].
LEVI, D ;
RAGNISCO, O ;
BRUSCHI, M .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1983, 74 (01) :33-51
[7]   THE WEISS-TABOR-CARNEVALE PAINLEVE TEST AND BURGERS HIERARCHY [J].
PICKERING, A .
JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (02) :821-833
[8]   ON THE ANALOGS OF THE BURGERS-EQUATION [J].
SVINOLUPOV, SI .
PHYSICS LETTERS A, 1989, 135 (01) :32-36
[9]   THE PAINLEVE PROPERTY FOR PARTIAL-DIFFERENTIAL EQUATIONS [J].
WEISS, J ;
TABOR, M ;
CARNEVALE, G .
JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (03) :522-526