100 citations · 606 across the 37 of their papers we have counts for
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Self-Dual Yang-Mills and the Hamiltonian Structures of Integrable Systems
Jeremy Schiff
In recent years it has been shown that many, and possibly all, integrable systems can be obtained by dimensional reduction of self-dual Yang-Mills. I show how the integrable system…
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…
The KdV Action and Deformed Minimal Models
Jeremy Schiff
An action is constructed that gives an arbitrary equation in the KdV or MKdV hierarchies as equation of motion; the second Hamiltonian structure of the KdV equation and the Hamilto…