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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…
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…