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- Laura M. Kasman, Alex Kasman, C. Gwyneth Cathyl - Bickford Westwater, Joseph W. Dolan, Michael G. Schmidt, James Scott Norris
- Journal of virology
- 2002

Prior observations of phage-host systems in vitro have led to the conclusion that susceptible host cell populations must reach a critical density before phage replication can occur. Such aâ€¦ (More)

We define the algebraic variety of almost intertwining matrices to be the set of triples (X, Y, Z) of n Ã— n matrices for which XZ = Y X + T for a rank one matrix T. A surprisingly simple formula isâ€¦ (More)

- Alex Kasman
- 1998

It is by now well known that the wave functions of rational solutions to the KP hierarchy which can be achieved as limits of the pure n-soliton solutions satisfy an eigenvalue equation for ordinaryâ€¦ (More)

This paper considers Darboux transformations of a bispectral operator which preserve its bispectrality. A sufficient condition for this to occur is given, and applied to the case of generalized Airyâ€¦ (More)

- Alex Kasman
- 1995

Rational and soliton solutions of the KP hierarchy in the subgrassmannianGr1 are studied within the context of finite dimensional dual grassmannians. In the rational case, properties of the tauâ€¦ (More)

Sato theory provides a correspondence between solutions to the KP hierarchy and points in an infinite dimensional Grassmannian. In this correspondence , flows generated infinitesimally by powers ofâ€¦ (More)

- Alex Kasman
- 1997

The iterated Darboux transformations of an ordinary differential operator are constructively parametrized by an infinite dimensional grassmannian of finitely supported distributions. In the case thatâ€¦ (More)

The 'ultra-discrete limit' has provided a link between integrable difference equations and cellular automata displaying soliton like solutions. In particular, this procedure generally turns strictlyâ€¦ (More)

- Nicholas Benes, Alex Kasman, Kevin Young
- J. Nonlinear Science
- 2006

The KdV equation is the canonical example of an integrable nonlinear partial differential equation supporting multi-soliton solutions. Seeking to understand the nature of this interaction, weâ€¦ (More)

- Alex Kasman, Emma Previato
- 2001

In one variable, it is possible to describe explicitly the differential operators that commute with a given one, at least when the centralizer of the given operator has rank 1. So far, aâ€¦ (More)