4 papers
HexaKdV
Jeremy Schiff
An analog of the lattice KdV equation of Nijhoff et al. is constructed on a hexagonal lattice. The resulting system of difference equations exhibits soliton solutions with interest…
Actions for Integrable Systems and Deformed Conformal Theories
Jeremy Schiff
I report on work on a Lagrangian formulation for the simplest 1+1 dimensional integrable hierarchies. This formulation makes the relationship between conformal field theories and (…
On The Hamiltonian Structures and The Reductions of The KP Hierarchy
Didier A Depireux, Jeremy Schiff
Recent work on a free field realization of the Hamiltonian structures of the classical KP hierarchy and of its flows is reviewed. It is shown that it corresponds to a reduction of…
The Nonlinear Schrodinger Equation and Conserved Quantities in the Deformed Parafermion and SL(2,R)/U(1) Coset Models
Jeremy Schiff
The relationship between the nonlinear Schrodinger hierarchy and the parafermion and SL(2,R)/U(1) coset models, analogous to the relationship between the KdV hierarchy and the mini…