Si‐Qi Liu

发表

On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi‐Triviality of bi‐Hamiltonian perturbations

B. Dubrovin, You-jin Zhang, Si‐Qi Liu, 2004, math/0410027.

Bihamiltonian Cohomologies and Integrable Hierarchies I: A Special Case

You-jin Zhang, Si‐Qi Liu, 2013, Communications in Mathematical Physics.

Deformations of semisimple bihamiltonian structures of hydrodynamic type

You-jin Zhang, Si‐Qi Liu, 2004, math/0405146.

On the Quasitriviality of Deformations of Bihamiltonian Structures of Hydrodynamic Type

You-jin Zhang, Si‐Qi Liu, 2004, math/0406626.

On the genus two free energies for semisimple Frobenius manifolds

B. Dubrovin, You-jin Zhang, Si‐Qi Liu, 2012, 1205.5990.

Hodge–GUE Correspondence and the Discrete KdV Equation

B. Dubrovin, You-jin Zhang, Di Yang, 2016, Communications in Mathematical Physics.

Virasoro constraints for Drinfeld–Sokolov hierarchies and equations of Painlevé type

You-jin Zhang, Chao-Zhong Wu, Si‐Qi Liu, 2022 .

Virasoro symmetries of Drinfeld-Sokolov hierarchies and equations of Painlev\'{e} type

You-jin Zhang, Chao-Zhong Wu, Si‐Qi Liu, 2019, 1908.06707.

Generalized Frobenius Manifolds with Non-flat Unity and Integrable Hierarchies

Haonan Qu, You-jin Zhang, Si‐Qi Liu, 2022, 2209.00483.

The Hodge-FVH correspondence

You-jin Zhang, Di Yang, C. Zhou, 2019, 1906.06860.

Uniqueness Theorem of $${\mathcal{W}}$$W -Constraints for Simple Singularities

You-jin Zhang, Di Yang, Si‐Qi Liu, 2013, 1305.2593.

Bihamiltonian Cohomologies and Integrable Hierarchies II: The Tau Structures

B. Dubrovin, You-jin Zhang, Si‐Qi Liu, 2018, Communications in Mathematical Physics.

Bihamiltonian Cohomologies and Integrable Hierarchies II: The Tau Structures

B. Dubrovin, You-jin Zhang, Si‐Qi Liu, 2017, Communications in Mathematical Physics.

Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs

B. Dubrovin, You-jin Zhang, Di Yang, 2014, 1409.4616.

Bihamiltonian Cohomologies and Integrable Hierarchies I: A Special Case

You-jin Zhang, Si‐Qi Liu, 2012, 1208.5847.

Jacobi Structures of Evolutionary Partial Differential Equations

You-jin Zhang, Si‐Qi Liu, 2009, 0910.2085.

Fractional Volterra hierarchy

You-jin Zhang, C. Zhou, Si‐Qi Liu, 2017, Letters in Mathematical Physics.

Fractional Volterra hierarchy

You-jin Zhang, C. Zhou, Si‐Qi Liu, 2017, 1702.02840.

On the Drinfeld–Sokolov Hierarchies of D Type

You-jin Zhang, Chao-Zhong Wu, Si‐Qi Liu, 2009, 0912.5273.

Hamiltonian Structures and Reciprocal Transformations for the r-KdV-CH Hierarchy

You-jin Zhang, Si‐Qi Liu, Ming Chen, 2008, 0809.0397.

Central invariants of the constrained KP hierarchies

You-jin Zhang, Xu Zhou, Si‐Qi Liu, 2015, 1502.01774.

Frobenius Manifolds and Central Invariants for the Drinfeld - Sokolov Bihamiltonian Structures

B. Dubrovin, You-jin Zhang, Si‐Qi Liu, 2007, 0710.3115.

A Two-component Generalization of the Camassa-Holm Equation and its Solutions

Youjin Zhang, Ming Chen, Si-Qi liu, 2005, nlin/0501028.

The Inversion Symmetry of the WDVV Equations and Tau Functions

You-jin Zhang, Si‐Qi Liu, D. Xu, 2010, 1012.5708.

Hamiltonian structures and their reciprocal transformations for the r-KdV–CH hierarchy

Youjin Zhang, Si-Qi Liu, Ming Chen, 2009 .

BCFG Drinfeld–Sokolov hierarchies and FJRW-theory

Y. Ruan, You-jin Zhang, Si‐Qi Liu, 2013, 1312.7227.

The perturbation of the de Rham Hodge Operator and the Kastler-Kalau-Walze type theorem for manifolds with boundary

Yong Wang, Tong Wu, Si‐Qi Liu, 2022, 2201.10793.

Tri-Hamiltonian structure of the Ablowitz–Ladik hierarchy

Si-Qi Liu, Youjin Zhang, Shuangxing Li, 2021, Physica D: Nonlinear Phenomena.

Drinfeld-Sokolov Hierarchies and FJRW-Theory

Y. Ruan, You-jin Zhang, Si‐Qi Liu, 2018 .

BCFG Drinfeld–Sokolov hierarchies and FJRW-theory

Y. Ruan, You-jin Zhang, Si‐Qi Liu, 2014, Inventiones mathematicae.

Proof of a conjecture on the genus two free energy associated to the An singularity

You-jin Zhang, C. Zhou, Si‐Qi Liu, 2013, 1305.1008.

On the genus two free energies for semisimple Frobenius manifolds

B. Dubrovin, You-jin Zhang, Si‐Qi Liu, 2012, Russian Journal of Mathematical Physics.

Lecture Notes on Bihamiltonian Structures and Their Central Invariants

Si‐Qi Liu, 2018 .

On Properties of Hamiltonian Structures for a Class of Evolutionary PDEs

You-jin Zhang, Chao-Zhong Wu, Si‐Qi Liu, 2007, 0711.2599.

The loop equation for special cubic Hodge integrals

You-jin Zhang, Di Yang, C. Zhou, 2018, Journal of Differential Geometry.

Ja n 20 05 A 2-Component Generalization of the Camassa-Holm Equation and Its Solutions

You-jin Zhang, Si‐Qi Liu, Ming Chen, 2005 .

On equivariant Gromov–Witten invariants of resolved conifold with diagonal and anti-diagonal actions

You-jin Zhang, Di Yang, C. Zhou, 2022, Letters in Mathematical Physics.

On quasi-triviality and integrability of a class of scalar evolutionary PDEs

You-jin Zhang, Si‐Qi Liu, 2005, nlin/0510019.

The Virasoro-Like Algebra of a Frobenius Manifold

Di Yang, Jian Zhou, Si-Qi Liu, 2021, International Mathematics Research Notices.

Variational Bihamiltonian Cohomologies and Integrable Hierarchies I: Foundations

You-jin Zhang, Si‐Qi Liu, Zhe Wang, 2021, Communications in Mathematical Physics.

Variational Bihamiltonian Cohomologies and Integrable Hierarchies II: Virasoro Symmetries

You-jin Zhang, Si‐Qi Liu, Zhe Wang, 2021, Communications in Mathematical Physics.

Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds

Zhe Wang, Si-Qi Liu, Youjin Zhang, 2021, 2109.01846.

Super tau-covers of bihamiltonian integrable hierarchies

You-jin Zhang, Si‐Qi Liu, Zhe Wang, 2020, 2009.01143.