6 citations · 9 across the 3 of their papers we have counts for
6 papers
Compactification of the isospectral varieties of nilpotent Toda lattices
Luis Casian, Yuji Kodama
The paper concerns a compactification of the isospectral varieties of nilpotent Toda lattices for real split simple Lie algebras. The compactification is obtained by taking the clo…
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…
Twisted Tomei manifolds and Toda lattices
L. Casian, Y. Kodama
This paper begins with an observation that the isospectral leaves of the signed Toda lattice as well as the Toda flow itself may be constructed from the Tomei manifolds by cutting…
Toda lattice and toric varieties for real split semisimple Lie algebras
L. Casian, Y. Kodama
The paper concerns the topology of an isospectral real smooth manifold for certain Jacobi element associated with real split semisimple Lie algebra. The manifold is identified as a…