arXiv subjects

Leonid Dickey

Publications and source records attributed to Leonid Dickey.

2 recordsLinked to original sources

arXiv1993

On additional symmetries of the KP hierarchy and Sato's Bäcklund transformation

A short proof is given to the fact that the additional symmetries of the KP hierarchy defined by their action on pseudodifferential operators, according to Fuchssteiner-Chen-Lee-Lin-Orlov-Shulman, coincide with those defined by their action on $τ$-functions as Sato's Bäcklund transformations. Also a new simple formula for the generator of additional symmetries is presented.

hep-th↗

arXiv1992

Additional symmetries of KP, Grassmannian, and the string equation

It is well-known that solutions to the string equation are generated by elements of Sato's Grassmannian which are invariant under action of some differential operator. Here it is shown that this operator is nothing else than the infinitesimal operator of the group of additional symmetries of the KdV flow. This is done for KdV hierarchies of arbitrary orders. Virasoro constraints are obtained in a slightly more general form than they are usually written.

hep-th↗