40 citations · 76 across the 3 of their papers we have counts for
3 papers
solv-int1996
Toda lattices with indefinite metric II: Topology of the iso-spectral manifolds
Yuji Kodama, Jian Ye
We consider the iso-spectral real manifolds of tridiagonal Hessenberg matrices with real eigenvalues. The manifolds are described by the iso-spectral flows of indefinite Toda latti…
solv-int1995★ 40 cited
Iso-spectral deformations of general matrix and their reductions on Lie algebras
Yuji Kodama, Jian Ye
We study an iso-spectral deformation of general matrix which is a natural generalization of the Toda lattice equation. We prove the integrability of the deformation, and give an ex…
solv-int1995★ 36 cited
Toda Hierarchy with Indefinite Metric
Yuji Kodama, Jian Ye
We consider a generalization of the full symmetric Toda hierarchy where the matrix of the Lax pair is given by , with a full symmetric matrix and a…