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math-ph2025
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…
math-ph2024
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…
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…