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nlin.SI2026
Bihamiltonian tests for integrable systems associated to rank- F-CohFTs
Alexandr Buryak, Jianghao Xu, Di Yang
Double ramification (DR) hierarchies associated to rank- F-CohFTs are important integrable perturbations of the Riemann--Hopf hierarchy. In this paper, we perform bihamiltonian…
nlin.SI2024
On an infinite commuting ODE system associated to a simple Lie algebra
Di Yang, Cheng Zhang, Zejun Zhou
Inspired by a recent work of Dubrovin [7], for each simple Lie algebra , we introduce an infinite family of pairwise commuting ODEs and define their -functions. We…
nlin.SI2023
From Toda Hierarchy to KP Hierarchy
Di Yang, Jian Zhou
Using the matrix-resolvent method and a formula of the second-named author on the -point function for a KP tau-function, we show that the tau-function of an arbitrary solution t…