5 citations · 10 across the 4 of their papers we have counts for
4 papers
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…
Self-Similar Solutions of the Non-Strictly Hyperbolic Whitham Equations for the KdV Hierarchy
V. U. Pierce, Fei-Ran Tian
We study the Whitham equations for all the higher order KdV equations. The Whitham equations are neither strictly hyperbolic nor genuinely nonlinear. We are interested in the solut…
Combinatoric results for graphical enumeration and the higher Catalan numbers
V. U. Pierce
We summarize some combinatoric problems solved by the higher Catalan numbers. These problems are generalizations of the combinatoric problems solved by the Catalan numbers. The gen…