90 citations · 142 across the 11 of their papers we have counts for
4 papers · 1 filter
On the Whitham equations for the defocusing nonlinear Schrodinger equation with step initial data
Gino Biondini, Yuji Kodama
The behavior of solutions of the finite-genus Whitham equations for the weak dispersion limit of the defocusing nonlinear Schrodinger equation is investigated analytically and nume…
Toda lattice, cohomology of compact Lie groups and finite Chevalley groups
Luis Casian, Yuji Kodama
In this paper, we describe a connection that exists among (a) the number of singular points along the trajectory of Toda flow, (b) the cohomology of a compact subgroup , and (c)…
Spectral stability and time evolution of N-solitons in KdV hierarchy
Yuji Kodama, Dmitry Pelinovsky
This paper concerns spectral stability and time evolution of -solitons in the KdV hierarchy with mixed commuting time flows. Spectral stability problem is analyzed by using a pa…
Integrable Quasiclassical Deformations of Cubic Curves
Y. Kodama, B. Konopelchenko, L. Martinez Alonso +1
A general scheme for determining and studying hydrodynamic type systems describing integrable deformations of algebraic curves is applied to cubic curves. Lagrange resolvents of th…