10 citations · 14 across the 4 of their papers we have counts for
4 papers
On the full Kostant-Toda hierarchy and its -banded reductions for the Lie algebras of type and
Yuji Kodama, Yuancheng Xie
This paper concerns the solutions of the full Kostant-Toda (f-KT) hierarchy in the Hessenberg form and their reductions to the -banded Kostant-Toda (-KT) hierarchy. We…
On the full Kostant-Toda lattice and the flag varieties. I. The singular solutions
Yuancheng Xie
The full Kostant-Toda (f-KT) lattice is a natural generalization of the classical tridiagonal Toda lattice. We study singular structure of solutions of the f-KT lattices defined on…
From the -Toda to the BKP hierarchy
Yuancheng Xie
It is shown that all -functions of BKP hierarchy can be written as Pfaffians of skew-symmetric matrices. -functions of BKP hierarchy are parameterized by points in the univer…
Space Curves and Solitons of the KP Hierarchy. I. The -th Generalized KdV Hierarchy
Yuji Kodama, Yuancheng Xie
It is well known that algebro-geometric solutions of the KdV hierarchy are constructed from the Riemann theta functions associated with hyperelliptic curves, and that soliton solut…