The Korteweg–de Vries, modified Korteweg–de Vries, and Harry Dym hierarchies of integrable
systems are shown to be equivalent to a hierarchy of chiral shape dynamics of closed …

A simple generalization of the Swift-Hohenberg equation is proposed as a model for the
pattern-forming dynamics of a two-dimensional field with two unstable length scales. The …

In the bistable regime of the FitzHugh-Nagumo model of reaction-diffusion systems, spatially
homogeneous patterns may be nonlinearly unstable to the formation of compact" localized …

Integrable systems related to the Korteweg–de Vries (KdV) equation are shown to be associated
with the dynamics of vortex patches in ideal two-dimensional fluids. This connection is …

Pattern formation exhibited by a two-dimensional reaction-diffusion system in the fast inhibitor
limit is considered for the point of view of interface motion. A dissipative nonlocal equation …

A statistical method for calculating equilibrium solutions of the shallow water equations, a
model of essentially 2D fluid flow with a free surface, is described. The model contains a …

Investors have increasingly understood the importance of engineering portfolios to represent
their views effectively, and the transfer coefficient provides an explicit measure of that …

This paper empirically studies a practical question for users of Markowitz portfolio
construction: in the presence of transactions costs, what are the benefits of increasing return …

A review is presented of some recent developments in the study of geometrical aspects of
the dynamics of curves in the plane. An examination of general conditions necessary for …

The current tools and approaches to transition management are biased towards either
minimizing transaction costs or minimizing risk, but do not appropriately integrate both. This can …