Lax pairs for N = 2, 3 supersymmetric KdV equations and their extensions

被引:8
作者
Krivonos, S [1 ]
Pashnev, A
Popowicz, Z
机构
[1] JINR, Bogoliubov Lab Theoret Phys, Dubna 141980, Moscow Region, Russia
[2] Univ Wroclaw, Inst Theoret Phys, PL-50205 Wroclaw, Poland
基金
俄罗斯基础研究基金会;
关键词
D O I
10.1142/S0217732398001510
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present the Lax operator for the N = 3 KdV hierarchy and consider its extensions. We also construct a new infinite family of N = 2 supersymmetric hierarchies by exhibiting the corresponding super Lax operators. The new realization of N = 4 supersymmetry on the two general N = 2 superfields, bosonic spin-1 and fermionic spin-1/2, is discussed.
引用
收藏
页码:1435 / 1443
页数:9
相关论文
共 20 条
[1]   ON N=3 SUPER KORTEWEG-DEVRIES EQUATION [J].
BELLUCCI, S ;
IVANOV, E ;
KRIVONOS, S .
JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (07) :3087-3097
[2]   Towards the construction of N=2 supersymmetric integrable hierarchies [J].
Bonora, L ;
Krivonos, S ;
Sorin, A .
NUCLEAR PHYSICS B, 1996, 477 (03) :835-854
[3]  
BONORA L, SOLVINT9711009
[4]  
BONORA L, 14297EP SISSA
[5]   N=1 SUPER-WZW AND N=1,2,3,4 SUPER-KDV MODELS AS D=2 CURRENT SUPERFIELD THEORIES [J].
CHAICHIAN, M ;
LUKIERSKI, J .
PHYSICS LETTERS B, 1988, 212 (04) :461-466
[6]   N=4 super KdV hierarchy in N=4 and N=2 superspaces [J].
Delduc, F ;
Ivanov, E ;
Krivonos, S .
JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (03) :1356-1381
[7]   New super KdV system with the N=4 SCA as the Hamiltonian structure [J].
Delduc, F ;
Gallot, L ;
Ivanov, E .
PHYSICS LETTERS B, 1997, 396 (1-4) :122-132
[8]   N = 4 SUPER KDV EQUATION [J].
DELDUC, F ;
IVANOV, E .
PHYSICS LETTERS B, 1993, 309 (3-4) :312-319
[9]   N = 2 KP and KdV hierarchies in extended superspace [J].
Delduc, F ;
Gallot, L .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 190 (02) :395-410
[10]   New integrable extensions of N=2 KdV and boussinesq hierarchies [J].
Ivanov, E ;
Krivonos, S .
PHYSICS LETTERS A, 1997, 231 (1-2) :75-81