Binary Darboux-Backlund Transformations for the Manin-Radul Super KdV Hierarchy
solv-int
2009-10-30 v2 Exactly Solvable and Integrable Systems
Abstract
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.
Keywords
Cite
@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}
}
Comments
14 pages, Revtex, no figures, some typos corrected, two references added