Binary Darboux-Backlund Transformations for the Manin-Radul Super KdV Hierarchy
solv-int
2009-10-30 v2 可精确求解与可积系统
摘要
We construct the supersymmetric extensions of the Darboux-Backlund transformations (DBTs) for the Manin-Radul super 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.
引用
@article{arxiv.solv-int/9710005,
title = {Binary Darboux-Backlund Transformations for the Manin-Radul Super KdV Hierarchy},
author = {Jiin-Chang Shaw and Ming-Hsien Tu},
journal= {arXiv preprint arXiv:solv-int/9710005},
year = {2009}
}
备注
14 pages, Revtex, no figures, some typos corrected, two references added