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math-ph2024
The loop equation for the Burgers--KdV hierarchy
Di Yang, Chunhui Zhou
The Burgers--KdV hierarchy was introduced towards understanding intersection numbers on the moduli space of Riemann surfaces with boundaries. The goal of this paper is to derive th…
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…
math-ph2024
Galilean symmetry of the KdV hierarchy
Jianghao Xu, Di Yang
By solving the infinitesimal Galilean symmetry for the KdV hierarchy, we obtain an explicit expression for the corresponding one-parameter Lie group, which we call the Galilean sym…