4 papers · 1 filter
On a class of integrable deformations of the integrable hierarchy of topological type associated to a semisimple Frobenius manifold
Si-Qi Liu, Paolo Rossi, Di Yang +1
Given a semisimple Frobenius manifold, we construct a class of integrable deformations of its hierarchy of topological type. We show that these integrable deformations have polynom…
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…
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…
Remarks on intersection numbers and integrable hierarchies. II. Tau-structure
Daniele Valeri, Di Yang
For systems of evolutionary partial differential equations the tau-structure is an important notion which originated from the deep relation between integrable systems and quantum f…