90 citations · 142 across the 11 of their papers we have counts for
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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 Whitham Equations for the Defocusing Complex Modified KdV Equation
Yuji Kodama, V. U. Pierce, Fei-Ran Tian
We study the Whitham equations for the defocusing complex modified KdV (mKdV) equation. These Whitham equations are quasilinear hyperbolic equations and they describe the averaged…
Geometry of the Pfaff lattices
Y. Kodama, V. U. Pierce
Pfaff lattice was introduced by Adler and van Moerbeke to describe the partition functions for the random matrix models of GOE and GSE type. The partition functions of those matrix…
Normal form and solitons
Y. Hiraoka, Y. Kodama
We present a review of the normal form theory for weakly dispersive nonlinear wave equations where the leading order phenomena can be described by the KdV equation. This is an infi…
Blow-ups of the Toda lattices and their intersections with the Bruhat cells
Luis. Casian, Yuji. Kodama
We study the topology of the set of singular points (blow-ups) in the solution of the nonperiodic Toda lattice defined on real split semisimple Lie algebra . The set o…
Topology of the real part of hyperelliptic Jacobian associated with the periodic Toda lattice
Y. Kodama
This paper concerns the topology of the isospectral {\it real} manifold of the periodic Toda lattice consisting of different systems. The solutions of…