58 citations · 279 across the 24 of their papers we have counts for
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Spectral Difference Equations Satisfied by KP Soliton Wavefunctions
Alex Kasman
The Baker-Akhiezer (wave) functions corresponding to soliton solutions of the KP hierarchy are shown to satisfy eigenvalue equations for a commutative ring of translational operato…
n-Schur Functions and Determinants on an Infinite Grassmannian
Alex Kasman
A set of functions is defined which is indexed by a positive integer and partitions of integers. The case reproduces the standard Schur polynomials. These functions are s…
Grassmannians, Nonlinear Wave Equations and Generalized Schur Functions
Alex Kasman
A set of functions is introduced which generalizes the famous Schur polynomials and their connection to Grasmannian manifolds. These functions are shown to provide a new method of…
KP Solitons are Bispectral
Alex Kasman
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 -soliton solutions satisfy an eigenvalue eq…
Darboux Transformations of Bispectral Quantum Integrable Systems
Emil Horozov, Alex Kasman
We present an approach to higher dimensional Darboux transformations suitable for application to quantum integrable systems and based on the bispectral property of partial differen…
Bispectrality of KP Solitons
Alex Kasman
It is by now well known that the wave functions of rational solutions to the KP hierarchy (those which can be achieved as limits of the pure n-soliton solutions) satisfy an additio…