100 citations · 606 across the 37 of their papers we have counts for
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The Camassa-Holm Equation: Conserved Quantities and the Initial Value Problem
Michael Fisher, Jeremy Schiff
Using a Miura-Gardner-Kruskal type construction, we show that the Camassa-Holm equation has an infinite number of local conserved quantities. We explore the implications of these c…
The supersymmetric Camassa-Holm equation and geodesic flow on the superconformal group
Chandrashekar Devchand, Jeremy Schiff
We study a family of fermionic extensions of the Camassa-Holm equation. Within this family we identify three interesting classes: (a) equations, which are inherently hamiltonian, d…
The Camassa-Holm Equation: A Loop Group Approach
Jeremy Schiff
A map is presented that associates with each element of a loop group a solution of an equation related by a simple change of coordinates to the Camassa-Holm (CH) Equation. Certain…
Symmetries of KdV and Loop Groups
Jeremy Schiff
A simple version of the Segal-Wilson map from the SL(2,C) loop group to a class of solutions of the KdV hierarchy is given, clarifying certain aspects of this map. It is explained…
On UrKdV and UrKP
Didier A Depireux, Jeremy Schiff, U de Montreal +1
We present two extensions of Wilson's explanation of the Miura map from MKdV to KdV. In the first we explain the map of Svinolupov et al from a certain UrKdV-like equation to KdV,…
Bäcklund Transformations of MKdV and Painlevé Equations
Jeremy Schiff
For there are and actions on the space of solutions of the first nontrivial equation in the Z_2$ actions on the sp…