15 research outputs found
The ILW hierarchy
In this paper, we present a new hierarchy which includes the intermediate
long wave (ILW) equation at the lowest order. This hierarchy is thought to be a
novel reduction of the 1st modified KP type hierarchy. The framework of our
investigation is Sato theory.Comment: 8 pages, LaTeX2
Periodic ILW equation with discrete Laplacian
We study an integro-differential equation which generalizes the periodic
intermediate long wave (ILW) equation. The kernel of the singular integral
involved is an elliptic function written as a second order difference of the
Weierstrass zeta-function. Using Sato's formulation, we show the integrability
and construct some special solutions. An elliptic solution is also obtained. We
present a conjecture based on a Poisson structure that it gives an alternative
description of this integrable hierarchy. We note that this Poisson algebra in
turn is related to a quantum algebra related with the family of Macdonald
difference operators.Comment: 17 pages. To appear in J. Phys. A: Math. Theo
High Speed MAS19F NMR Analysis of an Irradiated Fluorpolymer
The effect of gamma-radiation on a perfluoroalkoxy (PFA) resin was examined using solid-state high-speed magic angle spinning (MAS) F-19 NMR spectroscopy. Samples were prepared for analysis by subjecting them to gamma-radiation in the dose range 0.5-3 MGy at either 303, 473, or 573 K. New structures identified include new saturated chain ends, short and long branches, and unsaturated groups. The formation of branched structures was found to increase with increasing irradiation temperature; however, at all temperatures the radiation chemical yield (G value) of new chain ends was greater than the G value of long branch points, suggesting that chain scission is the net process