Binary Darboux-Backlund transformations for the Manin-Radul super KdV hierarchy

被引：9
|
作者：
Shaw, JC [1 ]
Tu, MH
机构：
[1] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu, Taiwan
[2] Natl Tsing Hua Univ, Dept Phys, Hsinchu, Taiwan
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1998年 / 39卷 / 09期
关键词：
D O I：
10.1063/1.532536
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct the supersymmetric extensions of the Darboux-Backlund transformations (DBTs) for the Manin-Radul super Korteweg-de Vries (KdV) hierarchy using the super-pseudo-differential operators. The elementary DBTs are triggered by the gauge operators constructed from the wave functions and adjoint wave functions of the hierarchy. Iterating these elementary DBTs, we obtain not only Wronskian-type but also binary-type superdeterminant representations of the solutions. (C) 1998 American Institute of Physics.
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页码：4773 / 4784
页数：12
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