72 citations · 248 across the 13 of their papers we have counts for
13 papers
On the Treves Criterion for the Boussinesq and other GD Hierarchies
L. A. Dickey
This is an addition to our paper (Lett.Math.Phys 65,2003,187-197) where an analogue of the Treves criterion for the first integrals of the KdV hierarchy was suggested for the Bouss…
On Treves' Algebraic Characterization of the KdV Hierarchy
L. A. Dickey
We have found a possibility to streamline the proof of the Treves' theorem (Duke Math. J., 108, 251-295, 2001) on an algebraic characterization of the KdV hierarchy which makes it…
Chains of KP, Semi-infinite 1-Toda Lattice Hierarchy and Kontsevich Integral
L. A. Dickey
There are well-known constructions of integrable systems which are chains of infinitely many copies of the equations of the KP hierarchy ``glued'' together with some additional var…
Poisson brackets with divergence terms in field theories: two examples
L. A. Dickey
In field theories one often works with the functionals which are integrals of some densities. These densities are defined up to divergence terms (boundary terms). A Poisson bracket…
On a generalization of the Fay-Sato identity for KP Baker functions and its application to constrained hierarchies
L. A. Dickey, W. Strampp
Some new formulas for the KP hierarchy are derived from the differential Fay identity. They proved to be useful for the -constrained hierarchies providing a series of determinan…
On tau-functions of Zakharov-Shabat and other matrix hierarchies of integrable equations
L. A. Dickey
Matrix hierarchies are: multi-component KP, general Zakharov-Shabat (ZS) and its special cases, e.g., AKNS. The ZS comprises all integrable systems having a form of zero-curvature…