363 citations · 1.3k across the 53 of their papers we have counts for
54 papers
Finite Group Reduction of the DR/DZ Hierarchies
Si-Qi Liu, Youjin Zhang, Tianwen Zhong
We show that the finite group reduction of the Dubrovin-Zhang/Double Ramification hierarchy associated with a semisimple CohFT preserves its bihamiltonian structure and its tau str…
Generalized Frobenius Manifold Structures on the Orbit Spaces of Affine Weyl Groups II
Lingrui Jiang, Si-qi Liu, Yingchao Tian +1
This is a sequel to arXiv:2506.13656, in which an approach to construct a class of generalized Frobenius manifold structures on the orbit spaces of affine Weyl groups is presented.…
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…
Generalized Frobenius Manifold Structures on the Orbit Spaces of Affine Weyl Groups I
Lingrui Jiang, Si-Qi Liu, Yingchao Tian +1
We present an approach to construct a class of generalized Frobenius manifold structures on the orbit spaces of affine Weyl groups, and prove that their monodromy groups are parabo…
Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies
Si-Qi Liu, Haonan Qu, Youjin Zhang
For two generalized Frobenius manifolds related by a Legendre-type transformation, we show that the associated integrable hierarchies of hydrodynamic type, which are called the Leg…
On Tautological Flows of Partial Difference Equations
Zhonglun Cao, Si-Qi Liu, Youjin Zhang
We propose a new analyzing method, which is called the tautological flow method, to analyze the integrability of partial difference equations (PEs) based on that of partial diff…