Abstract
Recently we investigated a new supersymmetrization procedure for the KdV hierarchy inspired in some recent work on supersymmetric matrix models. We extend this procedure here for the generalized KdV hierarchies. The resulting supersymmetric hierarchies are generically nonlocal, expect for the case of Boussinesque which we treat in detail. The resulting supersymmetric hierarchy is integrable and bihamiltonian and contains the Boussinesque hierarchy as a subhierarchy. In a particular realization, we extend it by defining supersymmetric odd flows. We end with some comments on a slight modification of this supersymmetrization which yields local equations for any generalized KdV hierarchy. (orig.)
Citation Formats
Figueroa-O`Farrill, J M, and Stanciu, S.
New supersymmetrizations of the generalized KDV hierarchies.
Germany: N. p.,
1993.
Web.
Figueroa-O`Farrill, J M, & Stanciu, S.
New supersymmetrizations of the generalized KDV hierarchies.
Germany.
Figueroa-O`Farrill, J M, and Stanciu, S.
1993.
"New supersymmetrizations of the generalized KDV hierarchies."
Germany.
@misc{etde_10119790,
title = {New supersymmetrizations of the generalized KDV hierarchies}
author = {Figueroa-O`Farrill, J M, and Stanciu, S}
abstractNote = {Recently we investigated a new supersymmetrization procedure for the KdV hierarchy inspired in some recent work on supersymmetric matrix models. We extend this procedure here for the generalized KdV hierarchies. The resulting supersymmetric hierarchies are generically nonlocal, expect for the case of Boussinesque which we treat in detail. The resulting supersymmetric hierarchy is integrable and bihamiltonian and contains the Boussinesque hierarchy as a subhierarchy. In a particular realization, we extend it by defining supersymmetric odd flows. We end with some comments on a slight modification of this supersymmetrization which yields local equations for any generalized KdV hierarchy. (orig.)}
place = {Germany}
year = {1993}
month = {Mar}
}
title = {New supersymmetrizations of the generalized KDV hierarchies}
author = {Figueroa-O`Farrill, J M, and Stanciu, S}
abstractNote = {Recently we investigated a new supersymmetrization procedure for the KdV hierarchy inspired in some recent work on supersymmetric matrix models. We extend this procedure here for the generalized KdV hierarchies. The resulting supersymmetric hierarchies are generically nonlocal, expect for the case of Boussinesque which we treat in detail. The resulting supersymmetric hierarchy is integrable and bihamiltonian and contains the Boussinesque hierarchy as a subhierarchy. In a particular realization, we extend it by defining supersymmetric odd flows. We end with some comments on a slight modification of this supersymmetrization which yields local equations for any generalized KdV hierarchy. (orig.)}
place = {Germany}
year = {1993}
month = {Mar}
}