4 papers
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…
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…
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…
Generalization of nonlocally related partial differential equation systems: unknown symmetric properties and analytical solutions
Huanjin Wang, Qiulan Zhao, Xinyue Li
Symmetry, which describes invariance, is an eternal concern in mathematics and physics, especially in the investigation of solutions to the partial differential equation (PDE). A P…