14 citations · 23 across the 3 of their papers we have counts for
4 papers
Fifty years of the finite nonperiodic Toda lattice: A geometric and topological viewpoint
Yuji Kodama, Barbara Shipman
In 1967, Japanese physicist Morikazu Toda published a pair of seminal papers in the Journal of the Physical Society of Japan that exhibited soliton solutions to a chain of particle…
Lorentz-Conformal Transformations in the Plane
Barbara A. Shipman, Patrick D. Shipman, Stephen P. Shipman
While conformal transformations of the plane preserve Laplace's equation, Lorentz-conformal mappings preserve the wave equation. We discover how simple geometric objects, such as q…
The Finite Non-periodic Toda Lattice: A Geometric and Topological Viewpoint
Yuji Kodama, Barbara Shipman
In 1967, Japanese physicist Morikazu Toda published the seminal papers exhibiting soliton solutions to a chain of particles with nonlinear interactions between nearest neighbors. I…
On the geometry of certain isospectral sets in the full Kostant-Toda lattice
Barbara Shipman
We use momentum mappings on generalized flag manifolds and their momentum polytopes to study the geometry of the level sets of the 1-chop integrals of the full Kostant-Toda lattice…