DARBOUX TRANSFORMATIONS FOR SUPERSYMMETRIC KORTEWEG-DE VRIES EQUATIONS

被引:101
作者
LIU, QP
机构
[1] Institute of Theoretical Physics, Academia Sinica, Beijing, 100080
关键词
D O I
10.1007/BF00750761
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the Darboux type transformations for the spectral problems of supersymmetric KdV systems. The supersymmetric analogies of Darboux and Darboux-Levi transformations are established for the spectral problems of Manin-Radul-Mathieu sKdV and Manin-Radul sKdV. Several Backlund transformations are derived for the MRM sKdV and MR sKdV systems.
引用
收藏
页码:115 / 122
页数:8
相关论文
共 23 条
[1]   ON THE MOUTARD TRANSFORMATION FOR INTEGRABLE PARTIAL-DIFFERENTIAL EQUATIONS [J].
ATHORNE, C ;
NIMMO, JJC .
INVERSE PROBLEMS, 1991, 7 (06) :809-826
[2]  
ATHORNE C, 1991, INVERSE PROBL, V7, P648
[3]   SUPERCONFORMAL ALGEBRA AND SUPER-KDV EQUATION - 2 INFINITE FAMILIES OF POLYNOMIAL FUNCTIONS WITH VANISHING POISSON BRACKETS [J].
BILAL, A ;
GERVAIS, JL .
PHYSICS LETTERS B, 1988, 211 (1-2) :95-100
[4]   SOLVING THE KP HIERARCHY BY GAUGE TRANSFORMATIONS [J].
CHAU, LL ;
SHAW, JC ;
YEN, HC .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 149 (02) :263-278
[5]  
Darboux G., 1882, CR HEBD ACAD SCI, V94, P1456
[6]  
FIGUEROAOFARRIL.JM, 1991, REP MATH PHYS, V3, P479
[7]   SUPERSYMMETRIC INTEGRABLE SYSTEMS EMBEDDED IN SUPERSYMMETRIC SELF-DUAL YANG-MILLS THEORY [J].
GATES, SJ ;
NISHINO, H .
PHYSICS LETTERS B, 1993, 299 (3-4) :255-261
[8]  
GU CH, 1990, SOLITON THEORY ITS A
[9]   LIE SUPERALGEBRAIC APPROACH TO SUPER TODA LATTICE AND GENERALIZED SUPER KDV EQUATIONS [J].
INAMI, T ;
KANNO, H .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 136 (03) :519-542
[10]   A SUPER KORTEWEG-DE-VRIES EQUATION - AN INTEGRABLE SYSTEM [J].
KUPERSHMIDT, BA .
PHYSICS LETTERS A, 1984, 102 (5-6) :213-215