18 citations · 31 across the 4 of their papers we have counts for
4 papers
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…
A generating function for the N-soliton solutions of the Kadomtsev-Petviashvili II equation
Sarbarish Chakravarty, Yuji Kodama
This work describes a classification of the -soliton solutions of the Kadomtsev-Petviashvili II equation in terms of chord diagrams of N chords joining pairs of 2N points. The d…
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…