3 papers
nlin.SI2026
Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold
Hanxue Zhang, Qiulan Zhao, Xinyue Li
We construct a local tri-Hamiltonian structure of the asymmetric (3,1)-type generalized Ablowitz-Ladik (gAL) hierarchy at the full-dispersive level and rigorously prove its validit…
nlin.SI2026
Bihamiltonian structure of the -type rational reductions of the 2D-Toda hierarchy
Haonan Qu, Qiulan Zhao
We derive a local bihamiltonian structure for the rational reduction of the 2D-Toda hierarchy (RR2T) of -type by direct computations, and construct an -dimensional se…
nlin.SI2025
Asymmetric rational reductions of 2D-Toda hierarchy and a generalized Frobenius manifold
Haonan Qu, Qiulan Zhao
We study the local bihamiltonian structures of the asymmetric rational reductions of the 2D-Toda hierarchy (RR2T) of types and at the full-dispersive level, and con…